7.1.5 Fourier Descriptors, DFT, FFT Computation, Use, Frequency Analysis

Chapter Contents (Back)
Fourier Transform. Fourier Descriptors. FFT Computation. See also Matching Fourier Descriptors, Fourier Shape Descriptors.

Landau, H.J., Pollak, H.O.,
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainity III: The Dimension of the Space of Essentially Time and Bandlimited Signals,
Bell System Tech.(41), July 1962, pp. 1295-1336. BibRef 6207
And:
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainity II,
Bell System Tech.(40), January 1961, pp. 65-84. BibRef

Brigham, E.O.,
The Fast Fourier Transform,
Prentice Hall1974. BibRef 7400
Earlier: Add A2: Morrow, R.E., Spectrum(4), December 1967, pp. 63-70. BibRef

Singleton, R.C.,
On Computing the Fast Fourier Transform,
CACM(10), 1967, pp. 647-654. BibRef 6700

Singleton, R.C.,
Algol Procedures for the Fast Fourier Transform, Algorithm 338,
CACM(11), 1968, pp. 773-776. BibRef 6800

Singleton, R.C.,
An Algol Procedure for the Fast Fourier Transform with Arbitrary Factors, Algorithm 339,
CACM(11), 1968, pp. 776-779. BibRef 6800

Zahn, C.T., and Roskies, R.Z.,
Fourier Descriptors for Plane Closed Curves,
TC(21), No. 3, March 1972, ppp. 269-281. BibRef 7203

Pease, M.C.,
An Adaptation of the Fast Fourier Transform for Parallel Processing,
JACM(15), No. 2, April 1968, pp. 252-264. BibRef 6804

Brousil, J.K., and Smith, D.R.,
A Threshold Logic Network for Shape Invariance,
TC(16), 1967, pp. 818-828. BibRef 6700

Yevick, M.L.[Miriam Lipschutz],
Holographic or Fourier Logic,
PR(7), No. 4, December 1975, pp. 197-213.
WWW Link. 0309
BibRef

Johnson, L.R., and Jain, A.K.,
An Efficient Two-Dimensional FFT Algorithm,
PAMI(3), No. 6, November 1981, pp. 698-701. BibRef 8111

Kuhl, F.P.[Frank P.], Giardina, C.R.[Charles R.],
Elliptic Fourier Features of a Closed Contour,
CGIP(18), No. 3, March 1982, pp. 236-258.
WWW Link. BibRef 8203

Giardina, C.R.[Charles R.], Kuhl, F.P.[Frank P.],
Accuracy of curve approximation by harmonically related vectors with elliptical loci,
CGIP(6), No. 3, June 1977, pp. 277-285.
WWW Link. 0501
BibRef

Strackee, J., and Nagelkerke, N.J.D.,
On Closing the Fourier Descriptor Presentation,
PAMI(5), No. 6, November 1983, pp. 660-661. BibRef 8311

Caelli, T.M., Hubner, M.,
Coding Images in the Frequency Domain: Filter Design and Energy Processing Characteristics of the Human Visual System,
SMC(13), 1983, pp. 1018-1021. BibRef 8300

Auslander, L., Feig, E., Winograd, S.,
New Algorithms for the Multidimensional Discrete Fourier Transform,
ASSP(31), 1983, pp. 388-403. BibRef 8300

Chellappa, R., Bagdazian, R.,
Optimal Fourier Coding of Image Boundaries,
PAMI(6), No. 1, January 1984, pp. 102-105. BibRef 8401

Bates, R.H.T.,
Uniqueness of Solutions to Two-Dimensional Fourier Phase Problems for Localized and Positive Images,
CVGIP(25), No. 2, February 1984, pp. 205-217.
WWW Link. BibRef 8402

Zabele, G.S., Koplowitz, J.,
Fourier Encoding of Closed Planar Boundaries,
PAMI(7), No. 1, January 1985, pp. 98-102. BibRef 8501
Earlier:
A Transform Encoding Scheme for Closed Planar Curves,
ICPR84(339-342). BibRef

Dekking, F.M., van Otterloo, P.J.,
Fourier Coding and Reconstruction of Complicated Contours,
SMC(16), 1986, pp. 395-404. BibRef 8600

Lin, C.S., Hwang, C.L.,
New Forms of Shape Invariants from Elliptic Fourier Descriptors,
PR(20), No. 5, 1987, pp. 535-545.
WWW Link. BibRef 8700

Kiryati, N., Maydan, D.,
Calculating Geometric Properties from Fourier Representation,
PR(22), No. 5, 1989, pp. 469-475.
WWW Link. BibRef 8900

Kiryati, N.,
Calculating Geometric Properties of Objects Represented by Fourier Coefficients,
CVPR88(641-646).
IEEE DOI BibRef 8800

Dougherty, E.R., Loce, R.P.,
Robust Morphologically Continuous Fourier Descriptors I: Projection-Generated Descriptions,
PRAI(6), 1992, pp. 873-892. BibRef 9200

Dougherty, E.R., Loce, R.P.,
Robust Morphologically Continuous Fourier Descriptors II: Continuity and Occlusion Analysis,
PRAI(6), 1992, pp. 893-911. BibRef 9200

Li, Z.C., Bui, T.D., Suen, C.Y., and Tang, Y.Y.,
Splitting-Shooting Methods for Nonlinear Transformations of Digitized Patterns,
PAMI(12), No. 7, July 1990, pp. 671-682.
IEEE DOI BibRef 9007

Li, Z.C., Suen, Y., Bui, T.D., Gu, Q.L.,
Splitting-Integrating Method for Normalizing Images by Inverse Transformations,
PAMI(14), No. 6, June 1992, pp. 678-686.
IEEE DOI BibRef 9206

Li, Z.C., Suen, Y., Bui, T.D., Gu, Q.L.,
Harmonic Models of Shape Transformations in Digital Images and Pictures,
GMIP(54), No. 3, May 1992, pp. 198-209. BibRef 9205
Earlier:
Harmonic models of shape transformations in digital images and patterns,
ICPR90(II: 1-7).
IEEE DOI 9208
BibRef

Tang, Y.Y., Suen, C.Y.,
Nonlinear shape restoration by transformation models,
ICPR90(II: 14-19).
IEEE DOI 9208
BibRef

Li, Z.C., Bui, T.D., Suen, C.Y., Tang, Y.Y.,
Nonlinear transformations of digitized patterns,
ICPR88(I: 134-136).
IEEE DOI 8811
BibRef

Lawton, W.M.,
Multidimensional chirp algorithms for computing Fourier transforms,
IP(1), No. 3, July 1992, pp. 429-431.
IEEE DOI 0402
BibRef

Tabei, M., Ueda, M.,
Backprojection by upsampled Fourier series expansion and interpolated FFT,
IP(1), No. 1, January 1992, pp. 77-87.
IEEE DOI 0402
BibRef

M'timet, H.,
Fourier phase shift location estimation of unfocused optical point spread functions,
SP:IC(6), No. 4, August 1994, pp. 281-287.
WWW Link. 0001
Fourier phase shift; Centroid method BibRef

Doerschuk, P.C.,
Bayesian reconstruction of signals invariant under a space-group symmetry from Fourier transform magnitudes,
IP(3), No. 4, July 1994, pp. 438-449.
IEEE DOI 0402
BibRef

Hui, C.C.W., Ding, T.J., McCanny, J.V., Woods, R.F.,
A 64-Point Fourier-Transform Chip for Video Motion Compensation Using Phase Correlation,
SolidCir(31), No. 11, November 1996, pp. 1751-1761. 9611
BibRef

Wu, M.F., Sheu, H.T.,
3D Invariant Estimation of Axisymmetrical Objects Using Fourier Descriptors,
PR(29), No. 2, February 1996, pp. 267-280.
WWW Link. Fourier, 3D. See also Contour-Based Correspondence Using Fourier Descriptors. BibRef 9602

Sheu, H.T., Wu, M.F.,
Fourier Descriptor Based Technique for Reconstructing 3D Contours from Stereo Images,
VISP(142), No. 2, April 1995, pp. 95-104. BibRef 9504

Pitas, I., Strintzis, M.G.,
General in-Place Calculation of Discrete Fourier Transforms of Multidimensional Sequences,
ASSP(34), 1986, pp. 565-572. BibRef 8600

Guessoum, A., Mersereau, R.M.,
Fast Algorithms for the Multidimensional Discrete Fourier Transform,
ASSP(34), 1986, pp. 937-943. BibRef 8600

Hekrdla, J.,
Index Transforms of Multidimensional Cyclic Convolutions and Discrete Fourier Transforms,
ASSP(34), 1986, pp. 996-997. BibRef 8600

Mehalic, M.A., Rustan, P.L., Route, G.P.,
Effects of Architecture Implementation on DFT Algorithm Performance,
ASSP(33), 1985, pp. 684-693. BibRef 8500

Haque, M.A.,
A Two-Dimensional Fast Cosine Transform,
ASSP(33), 1985, pp. 1532-1539. BibRef 8500

Lee, B.C.,
A Fast Cosine Transform,
ASSP(33), 1985, pp. xx-yy. BibRef 8500

Byrne, C.L., Fitzgerald, R.M.,
Linear and Nonlinear Estimators for One- and Two-Dimensional Fourier Transforms,
ASSP(32), 1984, pp. 914-916. BibRef 8400

Lim, J.S., Anderson, J.C., Searle, C.L.,
Signal Reconstruction from Cosine Transform Magnitude,
PIEEE(70), 1982, pp. 1460-1462. BibRef 8200

Hayes, M.H., Lim, J.S., Oppenheim, A.V.,
Signal Reconstruction from Phase or Magnitude,
ASSP(28), 1980, pp. 672-680. BibRef 8000

Oppenheim, A.V., Lim, J.S.,
The Importance of Phase in Signals,
PIEEE(69), No. 5, May 1981, pp. 529-541. BibRef 8105

van Hove, P.L., Hayes, M.H., Lim, J.S., Oppenheim, A.V.,
Signal Reconstruction from Signed Fourier Transform Magnitude,
ASSP(31), 1983, pp. 1286-1293. BibRef 8300

Curtis, S.R., Oppenheim, A.V., Lim, J.S.,
Signal Reconstruction from Fourier Transform Sign Information,
ASSP(33), 1985, pp. 643-657. BibRef 8500

Bonmassar, G.[Giorgio], Schwartz, E.L.[Eric L.],
Fourier-Analysis and Cortical Architectures: The Exponential Chirp Transform,
RealTimeImg(3), No. 3, June 1997, pp. 229-237. 9708
See also Cortical Anatomy, Size Invariance, and Spatial Frequency Analysis. BibRef

Bonmassar, G.[Giorgio], Schwartz, E.L.[Eric L.],
Space-Variant Fourier-Analysis: The Exponential Chirp Transform,
PAMI(19), No. 10, October 1997, pp. 1080-1089.
IEEE DOI 9710
BibRef
Earlier:
Lie Group Theory, Space Variant Fourier Analysis and the Exponential Chirp Transform,
CVPR96(492-498).
IEEE DOI BibRef
Earlier:
Geometric invariance in space-variant vision systems: The exponential chirp transform,
ICPR94(C:204-207).
IEEE DOI 9410
Representation, Log Mapping. Log Mapping. Generate a frequency domain mapping for a log polar image. Similar to the Mellin Transform. BibRef

Mou-Yan, Z., Unbehauen, R.,
Methods for Reconstruction of 2-D Sequences from Fourier-Transform Magnitude,
IP(6), No. 2, February 1997, pp. 222-233.
IEEE DOI 9703
BibRef

Anguh, M.M.,
Quadtree and Symmetry in FFT Computation of Digital Images,
TSP(45), No. 12, December 1997, pp. 2896-2899. 9712
BibRef

Rangarajan, S.R., Srinivasan, S.,
Generalized Method for Pruning an FFT Type of Transform,
VISP(144), No. 4, August 1997, pp. 189-192. 9806
BibRef

Pei, S.C., Tseng, C.C., Yeh, M.H., Shyu, J.J.,
Discrete Fractional Hartley and Fourier Transforms,
CirSysSignal(45), No. 6, June 1998, pp. 665-675. 9807
BibRef

Pei, S.C., Yeh, M.H.,
Two-Dimensional Discrete Fractional Fourier-Transform,
SP(67), No. 1, May 1998, pp. 99-108. 9807
BibRef

Duhamel, P.[Pierre], Vetterli, M.,
Fast Fourier transforms: A tutorial review and a state of the art,
SP(19), No. 4, 1990, pp. 259-299. BibRef 9000

Bi, G.A.,
Fast Algorithms for DFT of Composite Sequence Lengths,
SP(70), No. 2, October 1998, pp. 139-145. 9812
BibRef

Shentov, O.V., Mitra, S.K., Heute, U., Hossen, A.N.,
Subband DFT I: Definition, Interpretation and Extensions,
SP(41), No. 3, 1995, pp. 261-277. BibRef 9500

Hossen, A.N., Heute, U., Shentov, O.V., Mitra, S.K.,
Subband DFT II: Accuracy, Complexity and Applications,
SP(41), No. 3, 1995, pp. 279-294. BibRef 9500

Javidi, B., Wang, W.L., Zhang, G.S.,
Composite Fourier Plane Nonlinear Filter for Distortion Invariant Pattern Recognition,
OptEng(36), No. 10, October 1997, pp. 2690-2696. 9710
BibRef

Onural, L., Erden, M.F., Ozaktas, H.M.,
Extensions to Common Laplace and Fourier Transforms,
SPLetters(4), No. 11, November 1997, pp. 310-312.
IEEE Top Reference. 9711
BibRef

Shkarin, P., Spencer, R.G.S.,
Time Domain Simulation of Fourier Imaging by Summation of Isochromats,
IJIST(8), No. 5, 1997, pp. 419-426. 9710
BibRef

Amidror, I., Hersch, R.D.,
Analysis of the Superposition of Periodic Layers and Their Moire Effects Through the Algebraic Structure of Their Fourier Spectrum,
JMIV(8), No. 2, March 1998, pp. 99-130.
DOI Link 9803
BibRef

Pratt, I.[Ian],
Shape Representation Using Fourier Coefficients of the Sinusoidal Transform,
JMIV(10), No. 3, May 1999, pp. 221-235.
DOI Link BibRef 9905

Bernardini, R., Cortelazzo, G.M., Mian, G.A.,
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JOSA-A(16), No. 8, August 1999, pp. 1892-1908. BibRef 9908
Earlier:
A new 1D FFT-based algorithm for computing the MD FFT on arbitrary lattices,
ICIP94(III: 567-570).
IEEE DOI 9411
BibRef

Ware, A.F.[Antony F.],
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SIAM_Rev(40), No. 4, 1998, pp. 838-856.
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Lo, P.C.[Pei-Chen], Lee, Y.Y.[Yu-Yun],
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SP(79), No. 3, December 1999, pp. 251-25. 0002
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Britanak, V.[Vladimir], Rao, K.R.,
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SP(79), No. 2, December 1999, pp. 135-150. 0002
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Britanak, V.[Vladimir], Rao, K.R.,
A new fast algorithm for the unified forward and inverse MDCT/MDST computation,
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Zapata, J.L.[Jaime L.], Ritter, G.X.[Gerhard X.],
Fast Fourier Transform for Hexagonal Aggregates,
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Takahashi, D.,
An extended split-radix FFT algorithm,
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IEEE Top Reference. 0105
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Derrode, S.[Stéphane], Ghorbel, F.[Faouzi],
Robust and Efficient Fourier-Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description,
CVIU(83), No. 1, July 2001, pp. 57-78.
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Reconstruction. Invariants. BibRef

Lee, S.R.[Seung-Rae], Yi, J.H.[June-Ho],
Fast Reverse Jacket Transform As an Alternative Representation of the N-Point Fast Fourier Transform,
JMIV(16), No. 1, January 2002, pp. 31-39.
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Gelman, L.,
Feature Representation: Both Components of the Fourier Transform vs. Hartley Transform,
PR(35), No. 5, May 2002, pp. 1191-1192.
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Gelman, L.[Leonid], Sanderson, M.[Michael], Thompson, C.[Christopher],
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Gelman, L., Sanderson, M., Thompson, C.,
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Wu, J.L.[Ja-Ling], Huang, Y.M.,
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Bracewell, R.N.[Ronald N.],
The Fourier Transform and Its Applications,
McGraw-Hill2000. Third Edition. BibRef 0001

Bastiaans, M.J.[Martin J.], Alieva, T.[Tatiana],
Wigner distribution moments in fractional Fourier transform systems,
JOSA-A(19), No. 9, September 2002, pp. 1763-1773.
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Chan, S.C., Yiu, P.M.,
An efficient multiplierless approximation of the fast Fourier transform using sum-of-powers-of-two (SOPOT) coefficients,
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IEEE Top Reference. 0211
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Djurovic, I.[Igor], Stankovic, L.[LJubisa],
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Ferreira, P.J.S.G., Vieira, J.M.N.,
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Hossen, A.[Abdulnasir], Heute, U.[Ulrich], Seraji, G.[Gohlamali],
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Dapena, A., Servičre, C., Castedo, L.,
Inversion of the sliding Fourier transform using only two frequency bins and its application to source separation,
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Capus, C., Brown, K.,
Fractional Fourier transform of the Gaussian and fractional domain signal support,
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IEEE Abstract. 0307
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Pei, S.C., Chen, W.Y.,
Split Vector-Radix-2/8 2-D Fast Fourier Transform,
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MacLeod, M.D.[Malcolm D.],
Multiplierless Winograd and Prime Factor FFT Implementation,
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MacLeod, M.D.[Malcolm D.],
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Yang, X.P.[Xing-Peng], Tan, Q.F.[Qiao-Feng], Wei, X.F.[Xiao-Feng], Xiang, Y.[Yong], Yan, Y.[Yingbai], Jin, G.[Guofan],
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Guizar Sicairos, M.[Manuel], Gutiérrez Vega, J.C.[Julio C.],
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Djurovic, I., Stankovic, L.,
Moments of Multidimensional Polynomial FT,
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IEEE Abstract. 0411
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Brown, R.A., Zhu, H., Mitchell, J.R.,
Distributed Vector Processing of a New Local MultiScale Fourier Transform for Medical Imaging Applications,
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Uzun, I.S., Amira, A., Bouridane, A.,
FPGA Implementations of Fast Fourier Transforms for Real-Time Signal and Image Processing,
VISP(152), No. 3, June 2005, pp. 283-296.
DOI Link 0510
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Kunttu, I.[Iivari], Lepistö, L.[Leena], Rauhamaa, J.[Juhani], Visa, A.[Ari],
Multiscale Fourier descriptors for defect image retrieval,
PRL(27), No. 2, 15 January 2006, pp. 123-132.
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Earlier:
Multiscale fourier descriptor for shape-based image retrieval,
ICPR04(II: 765-768).
IEEE DOI 0409
BibRef
Earlier:
Multiscale fourier descriptor for shape classification,
CIAP03(536-541).
IEEE DOI 0310
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Kunttu, I.[Iivari], Lepistö, L.[Leena], Rauhamaa, J.[Juhani], Visa, A.[Ari],
Fourier-Based Object Description in Defect Image Retrieval,
MVA(17), No. 4, September 2006, pp. 211-218.
Springer DOI 0608
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Earlier:
Color Fourier Descriptor for Defect Image Retrieval,
CIAP05(415-422).
Springer DOI 0509
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Kunttu, I.[Iivari], Lepistö, L.[Leena],
Shape-based retrieval of industrial surface defects using angular radius Fourier descriptor,
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Kunttu, I.[Iivari], Lepistö, L.[Leena], Visa, A.[Ari],
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SCIA05(892-900).
Springer DOI 0506
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Djurovic, I., Lukin, V.V.,
Robust DFT With High Breakdown Point for Complex-Valued Impulse Noise Environment,
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Pei, S.C.[Soo-Chang], Hsue, W.L.,
The Multiple-Parameter Discrete Fractional Fourier Transform,
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IEEE DOI 0606
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Pei, S.C., Hsue, W.L.,
Random Discrete Fractional Fourier Transform,
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IEEE DOI 0909
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Meher, P.K.,
Highly Concurrent Reduced-Complexity 2-D Systolic Array for Discrete Fourier Transform,
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IEEE DOI 0606
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Meher, P.K.,
Systolic Designs for DCT Using a Low-Complexity Concurrent Convolutional Formulation,
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Meher, P.K.,
Parallel and Pipelined Architectures for Cyclic Convolution by Block Circulant Formulation Using Low-Complexity Short-Length Algorithms,
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Mohanty, B.K., Meher, P.K.,
Parallel and Pipeline Architectures for High-Throughput Computation of Multilevel 3-D DWT,
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Mohanty, B.K., Meher, P.K., Meher, P.K.,
Memory-Efficient High-Speed Convolution-Based Generic Structure for Multilevel 2-D DWT,
CirSysVideo(23), No. 2, February 2013, pp. 353-363.
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Loughlin, P.J.,
Time-Varying Spectral Approximation of Filtered Signals,
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IEEE DOI 0609
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Grigoryan, A.M.[Artyom M.],
Representation of the Fourier Transform by Fourier Series,
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Springer DOI 0610
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Horikis, T.P.[Theodoros P.], McCallum, M.S.[Matthew S.],
Self-Fourier functions and self-Fourier operators,
JOSA-A(23), No. 4, April 2006, pp. 829-834.
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Hwang, H.E.[Hone-Ene], Han, P.[Pin],
Fast algorithm of phase masks for image encryption in the Fresnel domain,
JOSA-A(23), No. 8, August 2006, pp. 1870-1874.
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Lensless security system. BibRef

Sangwine, S.J.,
The problem of defining the Fourier transform of a colour image,
ICIP98(I: 171-175).
IEEE DOI 9810
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Jones, K.J.,
Flexible-length fast fourier transform for mapping onto single-instruction multiple-data computing architecture,
VISP(153), No. 4, August 2006, pp. 395-404.
WWW Link. 0705
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Jones, K.J.,
Design and parallel computation of regularised fast Hartley transform,
VISP(153), No. 1, February 2006, pp. 70-78.
DOI Link 0602
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Sung, T.Y.,
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Brackx, F.[Fred], de Schepper, N.[Nele], Sommen, F.[Frank],
The Two-Dimensional Clifford-Fourier Transform,
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Liu, J., Liu, X.,
Eigenvector-Based N-D Frequency Estimation From Sample Covariance Matrix,
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IEEE DOI 0703
The proposed algorithm achieves automatic frequency pairing without using joint diagonalization. BibRef

Krakovsky, V.Y.[Vladimir Y.],
Moving-window discrete Fourier transform,
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Sheridan, P.[Phil],
A Method to Perform a Fast Fourier Transform With Primitive Image Transformations,
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IEEE DOI 0704
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Foi, A.[Alessandro], Katkovnik, V.[Vladimir], Egiazarian, K.O.[Karen O.],
Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color Images,
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IEEE DOI 0704
See also From Local Kernel to Nonlocal Multiple-Model Image Denoising. BibRef

Vince, A.[Andrew], Zheng, X.Q.[Xi-Qiang],
Computing the Discrete Fourier Transform on a Hexagonal Lattice,
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Springer DOI 0710
BibRef

Yan, S., Xu, L., Anazawa, Y.,
A Two-Stage Approach to the Establishment of State-Space Formulation of 2-D Frequency Transformation,
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IEEE DOI 0711
BibRef

Huang, W.C., Li, C.P., Li, H.J.,
A Computationally Efficient DFT Scheme for Applications With a Subset of Nonzero Inputs,
SPLetters(15), No. 1, 2008, pp. 206-208.
IEEE DOI 0802
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Sorensen, T.S., Schaeffter, T., Noe, K., Hansen, M.S.,
Accelerating the Nonequispaced Fast Fourier Transform on Commodity Graphics Hardware,
MedImg(27), No. 4, April 2008, pp. 538-547.
IEEE DOI 0804
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Durak, L.[Lutfiye], Özdemir, A.K.[Ahmet Kemal], Arikan, O.[Orhan],
Efficient computation of joint fractional Fourier domain signal representation,
JOSA-A(25), No. 3, March 2008, pp. 765-772.
WWW Link. 0804
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Lee, J., Lee, S.Y.,
Robust Fundamental Frequency Estimation Combining Contrast Enhancement and Feature Unbiasing,
SPLetters(15), No. 1, 2008, pp. 521-524.
IEEE DOI 0806
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Lo, V.L., Millane, R.P.,
Reconstruction of compact binary images from limited Fourier amplitude data,
JOSA-A(25), No. 10, October 2008, pp. 2600-2607.
WWW Link. 0810
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And:
Aspects of binary image reconstruction from Fourier amplitude data,
IVCNZ08(1-6).
IEEE DOI 0811
BibRef

Lo, V.L., Millane, R.P., Kingston, R.L.,
Reconstruction of Macromolecular Envelopes from Crystal X-Ray Diffraction Amplitudes,
ICIP08(2992-2995).
IEEE DOI 0810
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Yeh, M.H.,
Relationships Among Various 2-D Quaternion Fourier Transforms,
SPLetters(15), No. 1, 2008, pp. 669-672.
IEEE DOI 0811
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Parsons, A.,
The Symmetric Group in Data Permutation, With Applications to High-Bandwidth Pipelined FFT Architectures,
SPLetters(16), No. 6, June 2009, pp. 477-480.
IEEE DOI 0904
To permute data in place. BibRef

Broughton, S.A.[S. Allen], Bryan, K.M.[Kurt M.],
Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing,
WileyNovember 2008. ISBN: 978-0-470-29466-6.
HTML Version. Buy this book: Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing 0905
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Hirabayashi, A.,
Consistent Sampling and Efficient Signal Reconstruction,
SPLetters(16), No. 12, December 2009, pp. 1023-1026.
IEEE DOI 0909
DFT based coefficients. BibRef

Miranda, M.[Marta], Dorrío, B.V.[Benito V.],
Fourier analysis of two-stage phase-shifting algorithms,
JOSA-A(27), No. 2, February 2010, pp. 276-285.
WWW Link. 1002
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Yang, Z.[Zhuo], Kamata, S.I.[Sei-Ichiro],
Fast Polar and Spherical Fourier Descriptors for Feature Extraction,
IEICE(E93-D), No. 7, July 2010, pp. 1708-1715.
WWW Link. 1008
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IEEE DOI 1008
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Yang, Z.[Zhuo], Kamata, S.I.[Sei-Ichiro],
Hypercomplex Polar Fourier Analysis for Image Representation,
IEICE(E94-D), No. 8, August 2011, pp. 1663-1670.
WWW Link. 1108
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And:
Hypercomplex polar Fourier analysis for color image,
ICIP11(2117-2120).
IEEE DOI 1201
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Yang, Z.[Zhuo], Kamata, S.I.[Sei-Ichiro],
Fast Hypercomplex Polar Fourier Analysis,
IEICE(E95-D), No. 4, April 2012, pp. 1166-1169.
WWW Link. 1204
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Earlier:
Fast Hypercomplex Polar Fourier Analysis for Image Processing,
PSIVT11(II: 141-148).
Springer DOI 1111
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Yang, Z.[Zhuo], Kamata, S.I.[Sei-Ichiro],
Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images,
IEICE(E95-D), No. 5, May 2012, pp. 1248-1255.
WWW Link. 1202
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Thyagarajan, K.,
Image and Video Compression,
Wiley-IEEEDecember 2010 ISBN: 978-0-470-48416-6
HTML Version. Buy this book: Fourier Methods in Imaging (The Wiley-IS&T Series in Imaging Science and Technology) 1010
Mathematical tools for describing general one- and two-dimensional linear imaging systems. BibRef

Bowley, J., Rebollo-Neira, L.,
Sparsity and 'Something Else': An Approach to Encrypted Image Folding,
SPLetters(18), No. 3, March 2011, pp. 189-192.
IEEE DOI 1102
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Candan, C.,
On the Eigenstructure of DFT Matrices,
SPMag(28), No. 2, 2011, pp. 105-108.
IEEE DOI 1103
DSP Education BibRef

Lyons, R.,
Reducing FFT Scalloping Loss Errors Without Multiplication,
SPMag(28), No. 2, 2011, pp. 112-116.
IEEE DOI 1103
DSP Tips and Tricks BibRef

Grigoryan, A.M.[Artyom M.],
Two Classes of Elliptic Discrete Fourier Transforms: Properties and Examples,
JMIV(39), No. 3, March 2011, pp. 210-229.
WWW Link. 1103
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Garces, D.H.[Daissy H.], Rhodes, W.T.[William T.], Peńa, N.M.[Nestor M.],
Projection-Slice Theorem: A Compact Notation,
JOSA-A(28), No. 5, May 2011, pp. 766-769.
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In terms of rotation of Fourier transform. BibRef

Hoang, T.V.[Thai V.], Tabbone, S.A.[Salvatore A.],
The generalization of the R-transform for invariant pattern representation,
PR(45), No. 6, June 2012, pp. 2145-2163.
Elsevier DOI 1202
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A Geometric Invariant Shape Descriptor Based on the Radon, Fourier, and Mellin Transforms,
ICPR10(2085-2088).
IEEE DOI 1008
Invariant pattern representation; Radon transform; R-transform; R-signature; Feature extraction; Dominant directions; Noise robustness BibRef

Hoang, T.V.[Thai V.], Tabbone, S.A.[Salvatore A.],
Generic polar harmonic transforms for invariant image representation,
IVC(32), No. 8, 2014, pp. 497-509.
Elsevier DOI 1407
BibRef
Earlier:
Fast computation of orthogonal polar harmonic transforms,
ICPR12(3160-3163).
WWW Link. 1302
BibRef
Earlier:
Generic polar harmonic transforms for invariant image description,
ICIP11(829-832).
IEEE DOI 1201
Polar harmonic transforms BibRef

Hoang, T.V.[Thai V.], Tabbone, S.A.[Salvatore A.],
Fast Generic Polar Harmonic Transforms,
IP(23), No. 7, July 2014, pp. 2961-2971.
IEEE DOI 1407
Approximation methods BibRef

Hoang, T.V.[Thai V.], Tabbone, S.A.[Salvatore A.],
Invariant pattern recognition using the RFM descriptor,
PR(45), No. 1, 2012, pp. 271-284.
Elsevier DOI 1410
Invariant pattern representation Radon-Fourier-Mellin BibRef

Hasegawa, M.[Makoto], Tabbone, S.A.[Salvatore A.],
A Shape Descriptor Combining Logarithmic-Scale Histogram of Radon Transform and Phase-Only Correlation Function,
ICDAR11(182-186).
IEEE DOI 1111
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Wang, L.[Linkai], Zhou, X.F.[Xiao-Fang], Sobelman, G.E., Liu, R.[Ran],
Generic Mixed-Radix FFT Pruning,
SPLetters(19), No. 3, March 2012, pp. 167-170.
IEEE DOI 1202
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Schneider, D.,
A faster fast fourier transform,
Spectrum(49), No. 3, March 2012, pp. 12-13.
IEEE DOI 1203
Overview discussion of a conference report on a faster version. BibRef

Auger, F., Chassande-Mottin, E., Flandrin, P.,
On Phase-Magnitude Relationships in the Short-Time Fourier Transform,
SPLetters(19), No. 5, May 2012, pp. 267-270.
IEEE DOI 1204
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Pei, S.C., Lai, Y.C.,
Closed Form Variable Fractional Time Delay Using FFT,
SPLetters(19), No. 5, May 2012, pp. 299-302.
IEEE DOI 1204
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de Bie, H.[Hendrik], de Schepper, N.[Nele],
Fractional Fourier transforms of hypercomplex signals,
SIViP(6), No. 3, September 2012, pp. 381-388.
WWW Link. 1209
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Machado, J.T.[J. Tenreiro], Duarte, F.B.[Fernando B.], Duarte, G.M.[Gonçalo Monteiro],
Analysis of financial indices by means of the windowed Fourier transform,
SIViP(6), No. 3, September 2012, pp. 487-494.
WWW Link. 1209
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Kakarala, R.[Ramakrishna],
The Bispectrum as a Source of Phase-Sensitive Invariants for Fourier Descriptors: A Group-Theoretic Approach,
JMIV(44), No. 3, November 2012, pp. 341-353.
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Kakarala, R.[Ramakrishna],
Testing for Convexity with Fourier Descriptors,
ICPR98(Vol I: 792-794).
IEEE DOI 9808
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Kingston, A.M.[Andrew M.], Li, H.Y.[He-Yang], Normand, N.[Nicolas], Svalbe, I.D.[Imants D.],
Fourier Inversion of the Mojette Transform,
DGCI14(275-284).
Springer DOI 1410
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Chandra, S.S., Svalbe, I.D., Guedon, J., Kingston, A.M., Normand, N.,
Recovering Missing Slices of the Discrete Fourier Transform Using Ghosts,
IP(21), No. 10, October 2012, pp. 4431-4441.
IEEE DOI 1209
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Chandra, S.S., Normand, N., Kingston, A.M., Guedon, J., Svalbe, I.D.,
Robust Digital Image Reconstruction via the Discrete Fourier Slice Theorem,
SPLetters(21), No. 6, June 2014, pp. 682-686.
IEEE DOI 1404
Discrete Fourier transforms BibRef

Jeromin, O., Pattichis, M.S.,
Multiscale Sampling Geometries and Methods for Deterministic and Stochastic Reconstructions of Magnitude and Phase Spectra of Satellite Imagery,
GeoRS(50), No. 10, October 2012, pp. 3678-3692.
IEEE DOI 1210
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Perotti, L., Vrinceanu, D., Bessis, D.,
Beyond the Fourier Transform: Signal Symmetry Breaking in the Complex Plane,
SPLetters(19), No. 12, December 2012, pp. 865-867.
IEEE DOI 1212
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Song, T., Li, H.,
Local Polar DCT Features for Image Description,
SPLetters(20), No. 1, January 2013, pp. 59-62.
IEEE DOI 1212
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Ye, S.L.[Shang-Lin], Aboutanios, E.,
Efficient 2-D Frequency and Damping Estimation by Interpolation on Fourier Coefficients,
SPLetters(20), No. 2, February 2013, pp. 137-140.
IEEE DOI 1302
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Taboada, J.M., Araujo, M.G., Basteiro, F.O., Rodriguez, J.L., Landesa, L.,
MLFMA-FFT Parallel Algorithm for the Solution of Extremely Large Problems in Electromagnetics,
PIEEE(100), No. 2, February 2013, pp. 350-363.
IEEE DOI 1302
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Socheleau, F.X., Pastor, D., Duret, M.,
On Symmetric Alpha-Stable Noise After Short-Time Fourier Transformation,
SPLetters(20), No. 5, May 2013, pp. 455-458.
IEEE DOI 1304
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Socheleau, F.X., Pastor, D.,
Testing the Energy of Random Signals in a Known Subspace: An Optimal Invariant Approach,
SPLetters(21), No. 10, October 2014, pp. 1182-1186.
IEEE DOI 1407
Detectors BibRef

Wen, X.[Xue], Sandler, M.,
Fast Additive Sinusoidal Synthesis With a Subband Sinusoidal Method,
SPLetters(20), No. 5, May 2013, pp. 467-470.
IEEE DOI 1304
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Zheng, W.H.[Wei-Hua], Li, K.[Kenli],
Split Radix Algorithm for Length 6^m DFT,
SPLetters(20), No. 7, 2013, pp. 713-716.
IEEE DOI 1307
discrete Fourier transforms BibRef

Kay, S.,
A Computationally Efficient Nonlinear Least Squares Method Using Random Basis Functions,
SPLetters(20), No. 7, 2013, pp. 721-724.
IEEE DOI 1307
frequency estimation; least mean squares methods BibRef

Blok, M.,
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SPLetters(20), No. 8, 2013, pp. 747-750.
IEEE DOI 1307
delay filters See also Closed Form Variable Fractional Time Delay Using FFT. BibRef

Astudillo, R.F.[R. Fernandez],
An Extension of STFT Uncertainty Propagation for GMM-Based Super-Gaussian a Priori Models,
SPLetters(20), No. 12, 2013, pp. 1163-1166.
IEEE DOI 1311
Fourier transforms BibRef

Bujack, R.[Roxana], De Bie, H.[Hendrik], De Schepper, N.[Nele], Scheuermann, G.[Gerik],
Convolution Products for Hypercomplex Fourier Transforms,
JMIV(48), No. 3, March 2014, pp. 606-624.
Springer DOI 1403
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Su, L., Yuan, Y., Xiangli, B., Huang, F., Cao, J., Li, L., Zhou, S.,
Spectrum Reconstruction Method for Airborne Temporally-Spatially Modulated Fourier Transform Imaging Spectrometers,
GeoRS(52), No. 6, June 2014, pp. 3720-3728.
IEEE DOI 1403
Aircraft BibRef

Bey, N.Y.[Nourédine Yahya],
Multi-resolution Fourier analysis: Time-frequency resolution in excess of Gabor-Heisenberg limit,
SIViP(8), No. 4, May 2014, pp. 765-778.
WWW Link. 1404
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Park, C.S.[Chun-Su], Ko, S.,
The Hopping Discrete Fourier Transform,
SPMag(31), No. 2, March 2014, pp. 135-139.
IEEE DOI 1404
Tips and Tricks section. Algorithm design and analysis BibRef

Park, C.S.[Chun-Su],
Fast, Accurate, and Guaranteed Stable Sliding Discrete Fourier Transform,
SPMag(32), No. 4, July 2015, pp. 145-156.
IEEE DOI 1506
Tips and Tricks section. Algorithm design and analysis BibRef

Park, C.S.[Chun-Su],
2D Discrete Fourier Transform on Sliding Windows,
IP(24), No. 3, March 2015, pp. 901-907.
IEEE DOI 1502
computer vision BibRef

Hitzer, E.[Eckhard], Sangwine, S.J.[Stephen J.], (Eds.)
Quaternion and Clifford Fourier Transforms and Wavelets,

Springer2013. ISBN 978-3-0348-0602-2.
WWW Link. 1404
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Lammers, M.,
The Finite Fractional Zak Transform,
SPLetters(21), No. 9, Sept 2014, pp. 1064-1067.
IEEE DOI 1406
Discrete Fourier transforms BibRef

Zheng, X.Q.[Xi-Qiang], Gu, F.[Feng],
Fast Fourier Transform on FCC and BCC Lattices with Outputs on FCC and BCC Lattices Respectively,
JMIV(49), No. 3, July 2014, pp. 530-550.
Springer DOI 1407
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Wang, W., Li, X., Xia, X.G., Wang, W.,
The Largest Dynamic Range of a Generalized Chinese Remainder Theorem for Two Integers,
SPLetters(22), No. 2, February 2015, pp. 254-258.
IEEE DOI 1410
Discrete Fourier transforms BibRef

Adcock, B., Gataric, M., Hansen, A.,
On Stable Reconstructions from Nonuniform Fourier Measurements,
SIIMS(7), No. 3, 2014, pp. 1690-1723.
DOI Link 1410
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Chambolle, A., Jalalzai, K.,
Adapted Basis for Nonlocal Reconstruction of Missing Spectrum,
SIIMS(7), No. 3, 2014, pp. 1484-1502.
DOI Link 1410
Problem of recovering missing Fourier coefficients. BibRef

Gilbert, A.C., Indyk, P., Iwen, M., Schmidt, L.,
Recent Developments in the Sparse Fourier Transform: A compressed Fourier transform for big data,
SPMag(31), No. 5, September 2014, pp. 91-100.
IEEE DOI 1410
Big Data BibRef

Jindal, N.[Neeru], Singh, K.[Kulbir],
Image and video processing using discrete fractional transforms,
SIViP(8), No. 8, November 2014, pp. 1543-1553.
Springer DOI 1411
BibRef

Wang, Q., Yan, X., Qin, K.,
High-Precision, Permanently Stable, Modulated Hopping Discrete Fourier Transform,
SPLetters(22), No. 6, June 2015, pp. 748-751.
IEEE DOI 1411
Accuracy BibRef

Hu, W.[Wei], Cheung, G., Ortega, A., Au, O.C.,
Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images,
IP(24), No. 1, January 2015, pp. 419-433.
IEEE DOI 1502
Fourier transforms BibRef

Hu, W.[Wei], Cheung, G.[Gene], Ortega, A.,
Intra-Prediction and Generalized Graph Fourier Transform for Image Coding,
SPLetters(22), No. 11, November 2015, pp. 1913-1917.
IEEE DOI 1509
Fourier transforms BibRef

Kang, X.J.[Xue-Jing], Zhang, F.[Feng], Tao, R.[Ran],
Multichannel Random Discrete Fractional Fourier Transform,
SPLetters(22), No. 9, September 2015, pp. 1340-1344.
IEEE DOI 1503
discrete Fourier transforms BibRef

Xu, L., Tao, R.[Ran], Zhang, F.[Feng],
Multichannel Consistent Sampling and Reconstruction Associated With Linear Canonical Transform,
SPLetters(24), No. 5, May 2017, pp. 658-662.
IEEE DOI 1704
Distortion BibRef

Solorza-Calderón, S.[Selene], Verdugo-Olachea, J.[Jonathan],
A RFM Pattern Recognition System Invariant to Rotation, Scale and Translation,
CIARP15(477-484).
Springer DOI 1511
Radon-Fourier-Mellin BibRef

Polat, G.[Gokhan], Ozturk, S.[Sitki], Yakut, M.[Mehmet],
Design and Implementation of 256-Point Radix-4 100 Gbit/s FFT Algorithm into FPGA for High-Speed Applications,
ETRI(37), No. 4, August 2015, pp. 667-676.
DOI Link 1511
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Li, J.[Jia], Duan, L.Y.[Ling-Yu], Chen, X.[Xiaowu], Huang, T.J.[Tie-Jun], Tian, Y.H.[Yong-Hong],
Finding the Secret of Image Saliency in the Frequency Domain,
PAMI(37), No. 12, December 2015, pp. 2428-2440.
IEEE DOI 1512
discrete Fourier transforms BibRef

Cheng, C.[Chen], Yu, F.[Feng],
An Optimum Architecture for Continuous-Flow Parallel Bit Reversal,
SPLetters(22), No. 12, December 2015, pp. 2334-2338.
IEEE DOI 1512
fast Fourier transforms BibRef

Dun, Y.[Yujie], Liu, G.Z.[Gui-Zhong],
A Fine-Resolution Frequency Estimator in the Odd-DFT Domain,
SPLetters(22), No. 12, December 2015, pp. 2489-2493.
IEEE DOI 1512
audio signal processing BibRef

Wen, F.[Fuxi], So, H.C.[Hing Cheung],
Robust Multi-Dimensional Harmonic Retrieval Using Iteratively Reweighted HOSVD,
SPLetters(22), No. 12, December 2015, pp. 2464-2468.
IEEE DOI 1512
frequency estimation BibRef

Pei, S.C.[Soo-Chang], Chang, K.W.[Kuo-Wei],
Integer 2-D Discrete Fourier Transform Pairs and Eigenvectors using Ramanujan's Sum,
SPLetters(23), No. 1, January 2016, pp. 70-74.
IEEE DOI 1601
discrete Fourier transforms BibRef

Pei, S.C.[Soo-Chang], Chang, K.W.[Kuo-Wei],
Closed-Form Orthogonal Ramanujan Integer Basis,
SPLetters(24), No. 1, January 2017, pp. 1-1.
IEEE DOI 1702
discrete Fourier transforms BibRef

Khalid, Z., Durrani, S., Kennedy, R.A., Wiaux, Y., McEwen, J.D.,
Gauss-Legendre Sampling on the Rotation Group,
SPLetters(23), No. 2, February 2016, pp. 207-211.
IEEE DOI 1602
Fourier transforms. Sampling so that FT can be computed directly. BibRef

Park, S.H.[Sang-Hyo], Choi, K.[Kiho], Jang, E.S.,
Zero coefficient-aware fast butterfly-based inverse discrete cosine transform algorithm,
IET-IPR(10), No. 2, 2016, pp. 89-100.
DOI Link 1602
computational complexity BibRef

Ahmed, A.[Adeel], Hu, Y.F.[Yim Fun], Noras, J.M.[James M.], Pillai, P.[Prashant],
A universal two-way approach for estimating unknown frequencies for unknown number of sinusoids in a signal based on eigenspace analysis of Hankel matrix,
SIViP(10), No. 3, March 2016, pp. 543-549.
Springer DOI 1602
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Bey, N.Y.[Nourédine Yahya],
Multi-resolution Fourier Analysis: achieved high resolutions with suppressed finite observation effects,
SIViP(10), No. 4, April 2016, pp. 711-718.
Springer DOI 1604
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Fedorenko, S.V.[Sergei Valentinovich],
Improving the Goertzel-Blahut Algorithm,
SPLetters(23), No. 6, June 2016, pp. 824-827.
IEEE DOI 1606
method for computing the discrete Fourier transform. BibRef

Aubry, A., Carotenuto, V., Maio, A.D.,
New Results on Generalized Fractional Programming Problems With Toeplitz Quadratics,
SPLetters(23), No. 6, June 2016, pp. 848-852.
IEEE DOI 1606
Discrete Fourier transforms BibRef

Djukanovic, S.,
An Accurate Method for Frequency Estimation of a Real Sinusoid,
SPLetters(23), No. 7, July 2016, pp. 915-918.
IEEE DOI 1608
discrete Fourier transforms BibRef

Hu, X., Tong, N., Zhang, Y., He, X., Wang, Y.,
Moving Target's HRRP Synthesis With Sparse Frequency-Stepped Chirp Signal via Atomic Norm Minimization,
SPLetters(23), No. 9, September 2016, pp. 1212-1215.
IEEE DOI 1609
Fourier transforms BibRef

Tian, N.L.[Ni-Li], Zhang, X.Z.[Xiao-Zhi], Ling, B.W.K.[Bingo Wing-Kuen], Yang, Z.J.[Zhi-Jing],
Two-dimensional discrete fractional Fourier transform-based content removal algorithm,
SIViP(10), No. 7, October 2016, pp. 1311-1318.
Springer DOI 1609
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Ongie, G.[Greg], Jacob, M.[Mathews],
Off-the-Grid Recovery of Piecewise Constant Images from Few Fourier Samples,
SIIMS(9), No. 3, 2016, pp. 1004-1041.
DOI Link 1610
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Shi, J.[Jun], Han, M.[Mo], Zhang, N.T.[Nai-Tong],
Uncertainty principles for discrete signals associated with the fractional Fourier and linear canonical transforms,
SIViP(10), No. 8, November 2016, pp. 1519-1525.
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Shang, H.[Haolu], Jia, L.[Li], Menenti, M.[Massimo],
Modeling and Reconstruction of Time Series of Passive Microwave Data by Discrete Fourier Transform Guided Filtering and Harmonic Analysis,
RS(8), No. 11, 2016, pp. 970.
DOI Link 1612
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Gudovskiy, D.A., Chu, L.,
An Accurate and Stable Sliding DFT Computed by a Modified CIC Filter [Tips amp; Tricks],
SPMag(34), No. 1, January 2017, pp. 89-93.
IEEE DOI 1702
cascade networks BibRef

Serbes, A.,
Compact Fractional Fourier Domains,
SPLetters(24), No. 4, April 2017, pp. 427-431.
IEEE DOI 1704
Fourier transforms BibRef

Zhao, H., Zhao, X., Zhang, T., Liu, Y.,
A New Contourlet Transform With Adaptive Directional Partitioning,
SPLetters(24), No. 6, June 2017, pp. 843-847.
IEEE DOI 1705
Computed tomography, Discrete Fourier transforms, Energy states, Image reconstruction, Partitioning algorithms, Redundancy, Adaptive contourlet transform (ACT), adaptive directional partitioning, image sparse representation, pseudopolar Fourier transform, (PPFT) BibRef

Pruša, Z., Rajmic, P.,
Toward High-Quality Real-Time Signal Reconstruction From STFT Magnitude,
SPLetters(24), No. 6, June 2017, pp. 892-896.
IEEE DOI 1705
Delays, Lenses, Real-time systems, Signal processing algorithms, Spectrogram, Time-frequency analysis, Phase reconstruction, real-time, short-time Fourier transform (STFT), spectrogram, time-frequency BibRef

Zakaria, R., Le Ruyet, D.,
Analysis of the FFT-FBMC Equalization in Selective Channels,
SPLetters(24), No. 6, June 2017, pp. 897-901.
IEEE DOI 1705
Demodulation, Equalizers, Frequency modulation, Indexes, MIMO, OFDM, Channel equalization, FFT-FBMC, filter-bank multicarrier, frequency, selective, channel BibRef


Ongie, G.[Greg], Biswas, S.[Sampurna], Jacob, M.[Mathews],
Structured low-rank recovery of piecewise constant signals with performance guarantees,
ICIP16(963-967)
IEEE DOI 1610
Exact recovery limits from Fourier parameters. BibRef

Song, P., Jiang, W., Zhang, Y., Dai, Q.,
Fourier ptychographic reconstruction using weighted replacement in the fourier domain,
ICIP16(3171-3175)
IEEE DOI 1610
Convergence BibRef

Birdsong, J.B., Rummelt, N.I.,
The hexagonal fast fourier transform,
ICIP16(1809-1812)
IEEE DOI 1610
Digital images BibRef

Hascoet, J., Nezan, J.F., Ensor, A., de Dinechin, B.D.,
Implementation of a Fast Fourier transform algorithm onto a manycore processor,
DASIP15(1-7)
IEEE DOI 1605
fast Fourier transforms BibRef

Jia, J.[Jie], Hirakawa, K.[Keigo],
Single-shot fourier transform multispectroscopy,
ICIP15(4205-4209)
IEEE DOI 1512
Hyperspectral imaging BibRef

Prater, A.,
Sparse generalized Fourier series via collocation-based optimization,
AIPR14(1-8)
IEEE DOI 1504
Fourier series BibRef

He, C.[Can], Zhang, L.M.[Li-Ming], He, X.J.[Xiang-Jian], Jia, W.J.[Wen-Jing],
A New Image Decomposition and Reconstruction Approach: Adaptive Fourier Decomposition,
MMMod15(II: 227-236).
Springer DOI 1501
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Ekambaram, V.N.[Venkatesan N.], Fanti, G.C.[Giulia C.], Ayazifar, B.[Babak], Ramchandran, K.[Kannan],
Circulant structures and graph signal processing,
ICIP13(834-838)
IEEE DOI 1402
Discrete Fourier transforms BibRef

Wang, X.[Xiaoyu], Liao, S.[Simon],
Image Reconstruction from Orthogonal Fourier-Mellin Moments,
ICIAR13(687-694).
Springer DOI 1307
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Raj, A.N.J.[Alex Noel Joseph], Majeeth, S.S.[S. Shaik], Staunton, R.C.,
A comparison of FFT and DCT based Phase Correlation function for focused and defocused images,
IMVIP12(173-176).
IEEE DOI 1302
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Hsung, T.C.[Tai-Chiu], Lun, D.P.K.[Daniel Pak-Kong], Ng, W.W.L.[William W. L.],
Zero spectrum removal using joint bilateral filter for Fourier transform profilometry,
VCIP11(1-4).
IEEE DOI 1201
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Soldea, O.[Octavian], Unel, M.[Mustafa], Ercil, A.[Aytul],
Moments of Elliptic Fourier Descriptors,
ICPR10(3521-3524).
IEEE DOI 1008
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Timm, F.[Fabian], Martinetz, T.[Thomas],
Statistical Fourier Descriptors for Defect Image Classification,
ICPR10(4190-4193).
IEEE DOI 1008
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Dursun, S.[Serkan], Grigoryan, A.M.[Artyom M.],
Reversible Interger 2-D Discrete Fourier Transform by Control Bits,
ICPR10(4436-4439).
IEEE DOI 1008
BibRef

Wei, H.K.[Hong-Kai], Wang, P.B.[Ping-Bo], Cai, Z.M.[Zhi-Ming], Chen, B.Z.[Bao-Zhu], Yao, W.J.[Wan-Jun],
Application of particle swarm optimization method in fractional Fourier transform,
IASP10(442-445).
IEEE DOI 1004
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Bowles, T.[Terry], Erickson, J.E.[Jeffrey E.],
An examination of frequency indexes used in the non-uniform DFT,
Southwest10(77-80).
IEEE DOI 1005
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Mavandadi, S.[Sam], Aarabi, P.[Parham], Plataniotis, K.N.,
Fourier-based Rotation Invariant image features,
ICIP09(2041-2044).
IEEE DOI 0911
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Mahgoub, A.[Ahmed], Nguyen, T.[Thanh], Desbiens, R.[Raphael], Zaccarin, A.[Andre],
Aligning the frames of a non stationary imaging Fourier transform spectrometer for spectrum retrieval,
ICIP09(573-576).
IEEE DOI 0911
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Xie, J.H.[Jun-Hao], Wang, Z.X.[Ze-Xun],
Probability Density Function Estimation Based on Windowed Fourier Transform of Characteristic Function,
CISP09(1-4).
IEEE DOI 0910
PDF is Fourier Transform of Characteristic Function. BibRef

Shi, L.X.[Li-Xin], Zhang, J.X.[Jun-Xing], Han, G.Y.[Gui-Ying],
Multiple Fundamental Frequency Estimation Based on Harmonic Structure Model,
CISP09(1-4).
IEEE DOI 0910
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Luo, X.L.[Xiang-Long], Gao, J.H.[Jing-Huai],
Instantaneous Frequency Estimation Using WVD and Local SVD,
CISP09(1-4).
IEEE DOI 0910
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Wang, J.M.[Jian-Ming], Woods, B., Eddy, W.F.,
MEG, RFFTs, and the Hunt for High Frequency Oscillations,
CISP09(1-5).
IEEE DOI 0910
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Dong, L.F.[Li-Fang], Yang, Y.J.[Yu-Jie], Yue, H.[Han], Wang, S.A.[Shu-Ai], He, Y.F.[Ya-Feng],
Analysis of the Characteristic of Spots in Square Superlattice Pattern by Image Processing,
CISP09(1-4).
IEEE DOI 0910
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Dong, L.F.[Li-Fang], Yue, H.[Han], Xiao, H.[Hong], Yang, Y.J.[Yu-Jie], Wang, S.A.[Shu-Ai],
Analysis of the Pattern Evolution Based on Spatial Correlation and Fourier Spectra Technique,
CISP09(1-4).
IEEE DOI 0910
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Dong, L.F.[Li-Fang], Xiao, H.[Hong], Zhao, H.T.[Hai-Tao], Yue, H.[Han], He, Y.F.[Ya-Feng],
Analysis of Competition between Patterns by Using Fast Fourier Transform,
CISP09(1-4).
IEEE DOI 0910
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Xiang, X.[Xiao], Chi, X.F.[Xue-Fen], Pan, W.R.[Wu-Rong], Wang, Y.N.[Yi-Ning],
An Adaptive Spectrum Sensing Algorithm Based on Eigenvalue Decomposition,
CISP09(1-5).
IEEE DOI 0910
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Ding, K.[Kang], Zhu, W.Y.[Wen-Ying], Yang, Z.J.[Zhi-Jian], Li, W.H.[Wei-Hua],
Anti-Noise Performance and Parameter Estimation Accuracy of FFT and FT Discrete Spectrum Correction,
CISP09(1-5).
IEEE DOI 0910
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Li, H.[Haijun], Yan, C.[Caojun], Peng, W.[Wenbiao],
Double factors algorithm for computing DFT,
IASP09(133-137).
IEEE DOI 0904
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Bhat, P.[Pravin], Curless, B.[Brian], Cohen, M.[Michael], Zitnick, C.L.[C. Lawrence],
Fourier Analysis of the 2D Screened Poisson Equation for Gradient Domain Problems,
ECCV08(II: 114-128).
Springer DOI 0810
Reconstruct 2D function. BibRef

Signes Pont, M.T.[María Teresa], García Chamizo, J.M.[Juan Manuel], Mora Mora, H.[Higinio], de Miguel Casado, G.[Gregorio],
Improvement of Image Transform Calculation Based on a Weighted Primitive,
ICIAR06(I: 260-271).
Springer DOI 0610
Computation techniques. Fourier and Hough. BibRef

Gluckman, J.M.[Joshua M.],
Higher Order Whitening of Natural Images,
CVPR05(II: 354-360).
IEEE DOI 0507
Process power spectrum to remove redundancies. BibRef

Papoidis, E.V., Stathaki, T.,
A DFT algoritrm based on filter banks: the extended subband DFT,
ICIP03(I: 1053-1056).
IEEE DOI 0312
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Chaker, F., Ghorbel, F.,
Application of affine invariant Fourier descriptors to stereo matching,
ICIP03(I: 389-392).
IEEE DOI 0312
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Chaker, F., Bannour, M.T., Ghorbel, F.,
A complete and stable set of affine-invariant Fourier descriptors,
CIAP03(578-581).
IEEE DOI 0310
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Sijbers, J., van Dyck, D.,
Efficient algorithm for the computation of 3D Fourier descriptors,
3DPVT02(640-643). 0206
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Sijbers, J., Ceulemans, T., van Dyck, D.,
Algorithm for the computation of 3D fourier descriptors,
ICPR02(II: 790-793).
IEEE DOI 0211
BibRef

Beaudoin, N., Beauchemin, S.S.,
An accurate discrete Fourier transform for image processing,
ICPR02(III: 935-939).
IEEE DOI 0211
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Michael, G., Porat, M.,
Image Reconstruction from Localized Fourier Magnitude,
ICIP01(I: 213-216).
IEEE DOI 0108
BibRef

Pattichis, M., Zhou, R., Raman, B.,
New Algorithms for Computing Directional Discrete Fourier Transforms,
ICIP01(III: 322-325).
IEEE DOI 0108
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Felsberg, M.[Michael], Sommer, G.[Gerald],
Optimized Fast Algorithms for the Quaternionic Fourier Transform,
CAIP99(209-216).
Springer DOI 9909
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Akhmetshin, A.M., Lyuboshenko, I.V.,
The Reconstruction of Signals and Images from the Noisy Fourier Transform Phase by Means of the Generalized Difference Principle,
ICPR96(II: 370-375).
IEEE DOI 9608
(Dniepropetrovsk State Univ., UKR) BibRef

Lyuboshenko, I.V., Akhmetshin, A.M.[Alexander M.],
Regularization of the Problem of Image Restoration from its Noisy Fourier Transform Phase,
ICIP96(I: 793-796).
IEEE DOI BibRef 9600

Chernov, V.M.[Vladimir M.],
Vector Radix FFT with Splitting the Radix of Fractional Order,
SCIA97(xx-yy)
HTML Version. 9705
BibRef
Earlier:
A Metric Unified Treatment of Two-Dimensional FFT,
ICPR96(II: 662-669).
IEEE DOI 9608
(Image Processing Systems Inst., RUS) BibRef

Bruckstein, A.M.[Alfred M.], Holt, R.J.[Robert J.], Netravali, A.N.[Arun N.],
Holographic image representations: The Fourier transform method,
CIAP97(II: 30-37).
Springer DOI 9709
BibRef

Maki, A.[Atsuto], Bretzner, L.[Lars], Eklundh, J.O.[Jan-Olof],
Local Fourier phase and disparity estimates: An analytical study,
CAIP95(868-873).
Springer DOI 9509
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Nikolova, M.,
Markovian reconstruction in computed imaging and Fourier synthesis,
ICIP94(II: 690-694).
IEEE DOI 9411
BibRef

Elbaz, M., Abraham, Z., Rubinstein, J., Zeevi, Y.,
Signal and image reconstruction from partial Fourier phase,
ICPR94(C:82-87).
IEEE DOI 9410
BibRef

Ruetz, P.A., Cai, M.M.,
A real time FFT chip set: architectural issues,
ICPR90(II: 385-388 vol 2).
IEEE DOI 9208
BibRef

Chen, S.S.[Su-Shing],
A New Vision System and the Fourier Descriptor Method by Group Representation Theory,
CVPR85(106-110). (NSF) Fourier Descriptors. Theory, maybe more later. BibRef 8500

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
DCT Computation .


Last update:Jun 22, 2017 at 17:22:14