5.1.3 Transforms, Radon, Haar, Hadamard, etc.

Chapter Contents (Back)
Transforms. Radon Transform. Haar Transform. Hadamard Transform. Walsh Transform. Mellin Transform.
See also Tomographic Image Reconstruction, Radon Transform.

Walsh, J.L.,
A Closed Set of Normal Orthogonal Functions,
AJM(45), 1923, pp. 5-24. Walsh Transform. 2^n Walsh functions of length n. Essentially using binary numbers to specify the 1/0 nature. Order them in different ways and the Hadamard Transform results. For a discussion see:
HTML Version. BibRef 2300

Yuen, C., 1972.
Remarks on the Ordering of Walsh Functions,
TC(21), No. 12, December 1972, pp. 1452. BibRef 7212

Fino, B.J.,
Relations between Haar and Walsh/Hadamard Transforms,
PIEEE(60), No. 5, May 1972, pp. 647-648. BibRef 7205

Carl, J., and Swartwood, R.,
A Hybrid Walsh Transform Computer,
TC(22), No. 7, July 1973, pp. 669-672. BibRef 7307

Hawkes, P.W.,
A note on inverse filtering for anisoplanatic systems with coherent illumination,
PR(7), No. 1-2, June 1975, pp. 59-60.
Elsevier DOI 0309
Use of Mellin transform to describe field curvature and astigmatism. BibRef

Tretiak, O.J., and Metz, C.E.,
The Exponential Radon Transform,
SIAM_JAM(39), 1980, pp. 341-354. BibRef 8000

Rattey, P.A., and Lindgren, A.G.,
Sampling the 2-D Radon transform,
ASSP(29), No. 4, October 1981, pp. 994-1002. BibRef 8110

Deans, S.R.,
The Radon Transform and Some of its Applications,
John Wiley& Sons, New York. 1983.
See also Hough Transform from the Radon Transform. BibRef 8300

Natterer, F.,
The Radon Transform,
WileyNew York, 1986. The book. BibRef 8600

Jahns, J.,
Efficient Hadamard Transformation of Large Images,
SP(5), 1983, pp. 75-80. BibRef 8300

Wang, Z.D.,
A New Algorithm for the Slant Transform,
PAMI(4), No. 5, September 1982, pp. 551-555. BibRef 8209

Mali, P.C., Chaudhuri, B.B., Dutta Majumder, D.,
Performance Bound of Walsh-Hadamard Transform for Feature Selection and Compression and Some Related Fast Algorithms,
PRL(2), 1983, pp. 5-12.
See also Some Algorithms for Image Enhancement Incorporating Human Visual Response. BibRef 8300

Mali, P.C., Chaudhuri, B.B., Dutta Majumder, D.,
Properties and Some Fast Algorithms of the Haar Transform in Image Processing and Pattern Recognition,
PRL(2), 1984, pp. 319-327. BibRef 8400

Hansen, E.W.,
Fast Hankel Transform Algorithm,
ASSP(33), 1985, pp. 666-671. BibRef 8500

Raghuramireddy, D., Unbehauen, R.,
The Two-Dimensional Differential Cepstrum,
ASSP(33), 1985, pp. 1335-1337. BibRef 8500

Zwicke, P.E., and Kiss, Jr., I.,
A New Implementation of the Mellin Transform and its Application to Radar Classification of Ships,
PAMI(5), No. 2, March 1983, pp. 191-199. BibRef 8303

Kumaresan, R., Gupta, P.K.,
Vector-Radix Algorithm for a 2-D Discrete Hartley Transform,
PIEEE(74), 1986, pp. 755-757. BibRef 8600

Bracewell, R.N., Buneman, O., Hao, H., Villasenor, J.D.,
Fast Two-Dimensional Hartley Transform,
PIEEE(74), 1986, pp. 1282-1283. BibRef 8600

Fitzpatrick, J.M., Louze, M.R.,
A Class of One-to-One Two-Dimensional Transformations,
CVGIP(39), No. 3, September 1987, pp. 369-382.
Elsevier DOI BibRef 8709

Leavers, V.F., Boyce, J.F.,
The Radon Transform and Its Application to Shape Parameterization in Machine Vision,
IVC(5), No. 2, May 1987, pp. 161-166.
Elsevier DOI BibRef 8705

Leavers, V.F.,
Statistical Properties of the Hybrid Radon-Fourier Technique,
BMVC00(xx-yy).
PDF File. 0009
BibRef

Leavers, V.F.[Violet F.],
Use of the Two-Dimensional Radon Transform to Generate a Taxonomy of Shape for the Characterization of Abrasive Powder Particles,
PAMI(22), No. 12, December 2000, pp. 1411-1423.
IEEE DOI 0012
Inspection, Wear. Shape and angularity of particles for edge map.
See also Use of the Radon Transform As a Method of Extracting Information About Shape in Two Dimensions. And
See also Dynamic Generalized Hough Transform: Its Relationship to the Probabilistic Hough Transforms and an Application to the Concurrent Detection of Circles and Ellipses, The. BibRef

Leavers, V.F.,
Analysis of Wear Particles Using the Radon Transform,
ICPR00(Vol IV: 764-766).
IEEE DOI 0009
BibRef

Berenyi, H.M., Leavers, V.F., Burge, R.E.,
Automatic Detection of Targets Against Cluttered Backgrounds Using a Fractal-Oriented Statistical Analysis and Radon Transform,
PRL(13), 1992, pp. 869-877. BibRef 9200

Temerinac, M., Edler, B.,
A unified approach to lapped orthogonal transforms,
IP(1), No. 1, January 1992, pp. 111-116.
IEEE DOI 0402
BibRef

Wang, W.L., Jin, G.F., Yan, Y.B., Wu, M.X.,
Image Feature-Extraction with the Optical Haar Wavelet Transform,
OptEng(34), No. 4, April 1995, pp. 1238-1242. BibRef 9504

Wang, W.L., Jin, G.F., Yan, Y.B., Wu, M.X.,
Joint Wavelet-Transform Correlator for Image Feature-Extraction,
AppOpt(34), No. 2, January 10 1995, pp. 370-376. BibRef 9501

0401

Götz, W.A., Druckmüller, H.J.,
A Fast Digital Radon-Transform: An Efficient Means for Evaluating the Hough Transform,
PR(28), No. 12, December 1995, pp. 1985-1992.
Elsevier DOI BibRef 9512
And: PR(29), No. 4, April 1996, pp. 711-718.
Elsevier DOI BibRef

Anguh, M.M., Martin, R.R.,
A Truncation Method for Computing Walsh Transforms with Applications to Image Processing,
GMIP(55), No. 6, November 1993, pp. 482-yy. BibRef 9311

Anguh, M.M., Martin, R.R.,
A 2-Dimensional Inplace Truncation Walsh Transform Method,
JVCIR(7), No. 2, June 1996, pp. 116-125. 9607
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Kelley, B.T., Madisetti, V.K.,
The Fast Discrete Radon Transform I: Theory,
IP(2), No. 3, July 1993, pp. 382-400.
IEEE DOI BibRef 9307

Sahiner, B., Yagle, A.E.,
Time-Frequency Distribution Inversion of the Radon Transform,
IP(2), No. 4, October 1993, pp. 539-543.
IEEE DOI BibRef 9310
Earlier:
Iterative inversion of the Radon transform using image-adaptive wavelet constraints,
ICIP98(II: 709-713).
IEEE DOI 9810
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Marzetta, T.L.,
Fan Filters, the 3-D Radon Transform, and Image Sequence Analysis,
IP(3), No. 3, May 1994, pp. 253-264.
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Dusaussoy, N.J.,
VOIR, A Volumetric Image-Reconstruction Algorithm-Based on Fourier Techniques for Inversion of the 3-D Radon-Transform,
IP(5), No. 1, January 1996, pp. 121-131.
IEEE DOI BibRef 9601

Heusdens, R.,
Design of Lapped Orthogonal-Transforms,
IP(5), No. 8, August 1996, pp. 1281-1284.
IEEE DOI 9608
BibRef

Hansen, K.V., Toft, P.A.,
Fast Curve Estimation Using Preconditioned Generalized Radon-Transform,
IP(5), No. 12, December 1996, pp. 1651-1661.
IEEE DOI 9701
BibRef

Falkowski, B.J., Rahardja, S.,
Walsh-Like Functions And Their Relations,
VISP(143), No. 5, October 1996, pp. 279-284. 9701
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Falkowski, B.J.,
Family of generalised multi-polarity complex Hadamard transforms,
VISP(145), No. 6, December 1998, pp. 371. BibRef 9812

Falkowski, B.J., Sasao, T.,
Unified algorithm to generate Walsh functions in four different orderings and its programmable hardware implementations,
VISP(152), No. 6, December 2005, pp. 819-826.
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Fu, C., Falkowski, B.J.,
Linearly independent ternary arithmetic helix transforms, their properties and relations,
VISP(153), No. 2, April 2006, pp. 87-94.
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Pitas, I., Karasaridis, A.,
Multichannel Transforms for Signal/Image Processing,
IP(5), No. 10, October 1996, pp. 1402-1413.
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Prabhu, K.M.M., Sundaram, R.S.,
Fast Algorithm for Pseudodiscrete Wigner-Ville Distribution Using Moving Discrete Hartley Transform,
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Sundaram, R.S., Prabhu, K.M.M.,
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Martens, J.B.,
Local Orientation Analysis in Images by Means of the Hermite Transform,
IP(6), No. 8, August 1997, pp. 1103-1116.
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Liang, Z.P., Munson, D.C.,
Partial Radon Transforms,
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Martinst, A.C.G.[Antonio Cesar Germano], Rangayyan, R.M.[Rangaraj Mandayam],
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Bi, G.A.,
Split-Radix Algorithm for 2-D Discrete Hartley Transform,
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Vardi, Y., Lee, D.,
Discrete Radon-Transform and Its Approximate Inversion via the EM Algorithm,
IJIST(9), No. 2-3, 1998, pp. 155-173. 9805
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Sundararajan, D., Ahmad, M.O.,
Fast Computation of the Discrete Walsh and Hadamard Transforms,
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Pegna, J., Hilaire, T.P.,
Multifringe Pattern Analysis of Circular Zone Plates,
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Park, R.H., Yoon, K.S., Choi, W.Y.,
8-Point Discrete Hartley Transform as an Edge Operator and Its Interpretation in the Frequency-Domain,
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Pan, X.C.,
Quasi-Band-Limited Properties of Radon Transforms and Their Implications for Increasing Angular Sampling Densities,
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Alieva, T., Barbe, A.,
Fractional Fourier and Radon-Wigner Transforms Of Periodic Signals,
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Brady, M.L.[Martin L.],
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Souani, C.[Chokri], Atri, M.[Mohamed], Abid, M.[Mohamed], Torki, K.[Kholdoun], Tourki, R.[Rached],
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Aach, T.[Til], Kunz, D.W.[Dietmar W.],
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Kunz, D.W.,
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Rangayyan, R.M.[Rangaraj M.], Krishnan, S.[Sridhar],
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Pattichis, M.S., Bovik, A.C., Havlicek, J.W., Sidiropoulos, N.D.,
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Amira, A.,
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IP(22), No. 3, March 2013, pp. 941-954.
IEEE DOI 1302
multiframe code aperture snapshot spectral imaging (CASSI). BibRef

Arguello, H., Arce, G.R.,
Colored Coded Aperture Design by Concentration of Measure in Compressive Spectral Imaging,
IP(23), No. 4, April 2014, pp. 1896-1908.
IEEE DOI 1404
focal planes BibRef

Mejia, Y., Arguello, H.,
Binary Codification Design for Compressive Imaging by Uniform Sensing,
IP(27), No. 12, December 2018, pp. 5775-5786.
IEEE DOI 1810
compressed sensing, data compression, image coding, image reconstruction, optimisation, singular value decomposition, singular values BibRef

Goel, N.[Navdeep], Singh, K.[Kulbir],
Analysis of Dirichlet, Generalized Hamming and Triangular window functions in the linear canonical transform domain,
SIViP(7), No. 5, September 2013, pp. 911-923.
WWW Link. 1309
BibRef

Goel, N.[Navdeep], Singh, K.[Kulbir],
Modified correlation theorem for the linear canonical transform with representation transformation in quantum mechanics,
SIViP(8), No. 3, March 2014, pp. 595-601.
WWW Link. 1403
BibRef

Li, Y., Li, H., Cai, Z.,
Fast Orthogonal Haar Transform Pattern Matching via Image Square Sum,
PAMI(36), No. 9, September 2014, pp. 1748-1760.
IEEE DOI 1408
Algorithm design and analysis for fast computation. BibRef

Zhang, Z.C.[Zhi-Chao], Luo, M.K.[Mao-Kang],
New Integral Transforms for Generalizing the Wigner Distribution and Ambiguity Function,
SPLetters(22), No. 4, April 2015, pp. 460-464.
IEEE DOI 1411
Wigner distribution BibRef

Bonneel, N.[Nicolas], Rabin, J.[Julien], Peyré, G.[Gabriel], Pfister, H.[Hanspeter],
Sliced and Radon Wasserstein Barycenters of Measures,
JMIV(51), No. 1, January 2015, pp. 22-45.
Springer DOI 1503
BibRef

Peyré, G.[Gabriel],
Entropic Approximation of Wasserstein Gradient Flows,
SIIMS(8), No. 4, 2015, pp. 2323-2351.
DOI Link 1601
BibRef

Xiao, B.[Bin], Cui, J.T.[Jiang-Tao], Qin, H.X.[Hong-Xing], Li, W.S.[Wei-Sheng], Wang, G.Y.[Guo-Yin],
Moments and moment invariants in the Radon space,
PR(48), No. 9, 2015, pp. 2772-2784.
Elsevier DOI 1506
Radon transform BibRef

ELouedi, I.[Ines], Fournier, R.[Régis], Naït-Ali, A.[Amine], Hamouda, A.[Atef],
The polynomial discrete Radon transform,
SIViP(9), No. 1 Supp, December 2015, pp. 145-154.
Springer DOI 1601
BibRef

Carranza, C.[Cesar], Llamocca, D.[Daniel], Pattichis, M.[Marios],
Fast and Scalable Computation of the Forward and Inverse Discrete Periodic Radon Transform,
IP(25), No. 1, January 2016, pp. 119-133.
IEEE DOI 1601
BibRef
Earlier:
A scalable architecture for implementing the fast discrete periodic radon transform for prime sized images,
ICIP14(1208-1212)
IEEE DOI 1502
BibRef
And:
The Fast Discrete Periodic Radon Transform for prime sized images: Algorithm, architecture, and VLSI/FPGA implementation,
Southwest14(169-172)
IEEE DOI 1406
Adders. Radon transforms BibRef

Carranza, C.[Cesar], Pattichis, M.[Marios], Llamocca, D.[Daniel],
Fast and Parallel Computation of the Discrete Periodic Radon Transform on GPUs, Multicore CPUs and FPGAs,
ICIP18(4158-4162)
IEEE DOI 1809
Graphics processing units, Instruction sets, Multicore processing, Radon, Transforms, FPGA BibRef

Carranza, C.[Cesar], Llamocca, D.[Daniel], Pattichis, M.[Marios],
Fast 2D Convolutions and Cross-Correlations Using Scalable Architectures,
IP(26), No. 5, May 2017, pp. 2230-2245.
IEEE DOI 1704
Clocks BibRef

d'Acunto, M.[Mario], Benassi, A.[Antonio], Moroni, D.[Davide], Salvetti, O.[Ovidio],
3D image reconstruction using Radon transform,
SIViP(10), No. 1, January 2016, pp. 1-8.
Springer DOI 1601
BibRef

Kolouri, S., Park, S.R., Rohde, G.K.,
The Radon Cumulative Distribution Transform and Its Application to Image Classification,
IP(25), No. 2, February 2016, pp. 920-934.
IEEE DOI 1601
Feature extraction BibRef

Wang, B., Gao, Y.,
Structure Integral Transform Versus Radon Transform: A 2D Mathematical Tool for Invariant Shape Recognition,
IP(25), No. 12, December 2016, pp. 5635-5648.
IEEE DOI 1612
Radon transforms BibRef

Wang, Z., Wang, Y., Xu, L.,
Parameter Estimation of Hybrid Linear Frequency Modulation-Sinusoidal Frequency Modulation Signal,
SPLetters(24), No. 8, August 2017, pp. 1238-1241.
IEEE DOI 1708
Radon transforms, frequency modulation, parameter estimation, signal processing, extended Radon transform, hybrid linear frequency modulation-sinusoidal frequency modulation signal, inverse Radon transform, parameter estimation, Estimation, Frequency estimation, Frequency modulation, Strips, Transforms, Hybrid linear frequency modulation (LFM)-sinusoidal frequency modulation (SFM) signal, parameters estimation, radon transform BibRef

Moon, S.[Sunghwan], Haltmeier, M.[Markus],
Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder,
SIIMS(10), No. 2, 2017, pp. 535-557.
DOI Link 1708
BibRef

Zheng, P., Huang, J.,
Efficient Encrypted Images Filtering and Transform Coding With Walsh-Hadamard Transform and Parallelization,
IP(27), No. 5, May 2018, pp. 2541-2556.
IEEE DOI 1804
Cloud computing, Computational complexity, Discrete cosine transforms, Encryption, secure signal processing BibRef

Gallagher, M.[Martin], Chandra, S.I.[Sun-Il], Kapsalas, P.[Petros], Hughes, C.[Ciarán], Glavin, M.[Martin], Jones, E.[Edward],
Fourier Mellin transform characterisation in the automotive environment,
SIViP(12), No. 8, November 2018, pp. 1587-1594.
Springer DOI 1809
BibRef

Wang, Y.L.[Yu-Ling], Li, M.[Ming], Zhong, G.Y.[Guo-Yun], Li, J.H.[Jun-Hua], Lu, Y.M.[Yu-Ming],
Circular trace transform and its PCA-based fusion features for image representation,
IET-IPR(12), No. 10, October 2018, pp. 1797-1806.
DOI Link 1809
BibRef

Silván-Cárdenas, J.L.[José Luis], Salazar-Garibay, A.[Adán],
Local Geometric Deformations in the DHT Domain With Applications,
IP(28), No. 4, April 2019, pp. 1980-1992.
IEEE DOI 1901
DHT: discrete Hermite transform. computational geometry, image matching, image reconstruction, image segmentation, mathematical morphology, transforms, depth from defocus BibRef

Zhang, Z.,
The Optimal Linear Canonical Wigner Distribution of Noisy Linear Frequency-Modulated Signals,
SPLetters(26), No. 8, August 2019, pp. 1127-1131.
IEEE DOI 1908
frequency modulation, optimisation, transforms, Wigner distribution, BibRef

Wang, B., Zhang, Y., Lu, W., Geng, J.,
A Robust and Efficient Sparse Time-Invariant Radon Transform in the Mixed Time-Frequency Domain,
GeoRS(57), No. 10, October 2019, pp. 7558-7566.
IEEE DOI 1910
geophysical signal processing, geophysical techniques, interpolation, inverse problems, iterative methods, time-invariant Radon transform (TIRT) BibRef

Yang, J., Lu, Z., Tang, Y.Y., Yuan, Z., Chen, Y.,
Quasi Fourier-Mellin Transform for Affine Invariant Features,
IP(29), 2020, pp. 4114-4129.
IEEE DOI 2002
Quasi Fourier-Mellin transform, quasi Fourier-Mellin descriptor, Fourier-Mellin transform, feature extraction BibRef

Nguyen, T.P.[Thanh Phuong], Nguyen, X.S.[Xuan Son], Borgi, M.A.[Mohamed Anouar], Nguyen, M.K.,
A Projection-Based Method for Shape Measurement,
JMIV(62), No. 4, May 2020, pp. 489-504.
Springer DOI 2005
Projection space of Radon transform. BibRef

Ziou, D.[Djemel], Nacereddine, N.[Nafaa], Goumeidane, A.B.[Aicha Baya],
Scale space Radon transform,
IET-IPR(15), No. 9, 2021, pp. 2097-2111.
DOI Link 2106
BibRef

Beckmann, M.[Matthias], Bhandari, A.[Ayush], Krahmer, F.[Felix],
The Modulo Radon Transform: Theory, Algorithms, and Applications,
SIIMS(15), No. 2, 2022, pp. 455-490.
DOI Link 2205
BibRef

Zhang, Z.C.[Zhi-Chao], Shi, X.[Xiya],
Kernel Function-tau-Wigner Distribution Associated With the Linear Canonical Transform,
SPLetters(29), 2022, pp. 1764-1768.
IEEE DOI 2208
Kernel, Computational complexity, Uncertainty, Signal processing, Noise measurement, Time-frequency analysis, Tensors, tau-Wigner distribution BibRef

Ganster, K.[Kevin], Rieder, A.[Andreas],
Approximate Inversion of a Class of Generalized Radon Transforms,
SIIMS(16), No. 2, 2023, pp. 842-866.
DOI Link 2306
BibRef

Fan, Z.C.[Zi-Chen], Li, D.[Di], Rahardja, S.[Susanto],
Pure Number Discrete Fractional Complex Hadamard Transform,
SPLetters(30), 2023, pp. 1087-1091.
IEEE DOI 2310
BibRef

Lorenzana, M.B.[Marlon Bran], Chandra, S.S.[Shekhar S.],
Non-Separable Two-Dimensional Hadamard Transform via a Discrete Hadamard Slice Theorem,
SPLetters(30), 2023, pp. 1237-1241.
IEEE DOI 2310
BibRef


Beier, F.[Florian],
Gromov-Wasserstein Transfer Operators,
SSVM23(614-626).
Springer DOI 2307
BibRef

Hertrich, J.[Johannes], Beinert, R.[Robert], Gräf, M.[Manuel], Steidl, G.[Gabriele],
Wasserstein Gradient Flows of the Discrepancy with Distance Kernel on the Line,
SSVM23(431-443).
Springer DOI 2307
BibRef

Quellmalz, M.[Michael], Weissinger, L.[Lukas], Hubmer, S.[Simon], Erchinger, P.D.[Paul D.],
A Frame Decomposition of the Funk-Radon Transform,
SSVM23(42-54).
Springer DOI 2307
BibRef

Beckmann, M.[Matthias], Bhandari, A.[Ayush],
MR.TOMP: Inversion of the Modulo Radon Transform (MRT) via Orthogonal Matching Pursuit (OMP),
ICIP22(3748-3752)
IEEE DOI 2211
Photography, Heuristic algorithms, Radon, Matching pursuit algorithms, Transforms, Dynamic range, Tomography, Radon transform and sampling theory BibRef

Ricordel, V.[Vincent], Normand, N.[Nicolas], Guédon, J.[Jeanpierre],
Mojette Transform on Densest Lattices in 2D and 3D,
DGCI17(159-170).
Springer DOI 1711
an exact discrete form of the Radon transform. BibRef

Lin, R.P.[Rong-Ping], Du, C.H.[Chun-Hui], Luo, S.[Shan], Xu, Q.[Qi],
Performance on a combined representation for time-frequency analysis,
ICIVC17(858-862)
IEEE DOI 1708
Noise measurement, Wigner-Ville distribution, linear frequency modulated, local polynomial periodogram, time-frequency BibRef

Ceko, M.[Matthew], Svalbe, I.[Imants],
Symmetric Counterparts of Classical 1D Haar Filters for Improved Image Reconstruction via Discrete Back-Projection,
ISMM17(68-80).
Springer DOI 1706
BibRef

Pereira, P.M.M., Domingues, P., Rodrigues, N.M.M., Faria, S.M.M., Falcao, G.,
Optimized fast Walsh-Hadamard transform on OpenCL-GPU and OpenCL-CPU,
IPTA16(1-6)
IEEE DOI 1703
Hadamard transforms BibRef

Pitié, F.,
An alternative matting Laplacian,
ICIP16(3623-3627)
IEEE DOI 1610
Covariance matrices BibRef

Muramatsu, S., Ishii, M., Chen, Z.,
Efficient parameter optimization for example-based design of nonseparable oversampled lapped transform,
ICIP16(3618-3622)
IEEE DOI 1610
Dictionaries BibRef

Chou, P.A., de Queiroz, R.L.,
Gaussian process transforms,
ICIP16(1524-1528)
IEEE DOI 1610
Covariance matrices BibRef

Kaur, B.[Baljit], Majumder, M.K.[Manoj Kumar],
Modified PPPE architecture for two-dimensional Radon Transform computation,
ICIIP11(1-6).
IEEE DOI 1112
BibRef

Luisier, F.[Florian], Blu, T.[Thierry], Unser, M.[Michael],
Undecimated Haar thresholding for poisson intensity estimation,
ICIP10(1697-1700).
IEEE DOI 1009
BibRef

Hu, H.L.[Hong-Li], Zhang, J.Z.[Jian-Zhou],
Approximate inverse based implementation for Tuy's formula,
ICIP10(621-624).
IEEE DOI 1009
BibRef

Morvidone, M., Truong, T.T., Nguyen, M.K., Zaidi, H.,
A novel V-line Radon transform and its imaging applications,
ICIP10(629-632).
IEEE DOI 1009
BibRef

Sang, A.J.[Ai-Jun], Sun, T.N.[Tie-Ning], Chen, H.X.[He-Xin], Feng, H.[Hua],
A 4D nth-order Walsh orthogonal transform algorithm used for color image coding,
IASP10(206-209).
IEEE DOI 1004
BibRef

Chandra, S.[Shekhar], Svalbe, I.[Imants],
A Fast Number Theoretic Finite Radon Transform,
DICTA09(361-368).
IEEE DOI 0912
BibRef

Scherzer, O.[Otmar], Walch, B.[Birgit],
Sparsity Regularization for Radon Measures,
SSVM09(452-463).
Springer DOI 0906
BibRef

Averbuch, A., Coifman, R.R., Donoho, D.L., Israeli, M., and Walden, J.,
Fast slant stack: A notion of radon transform for data on a cartesian grid which is rapidly computable, algebraically exact, geometrically faithful, and invertible,
TRStanford University, 2001. BibRef 0100

Agaian, S.S., Caglayan, O.,
New Fast Hartley Transform with Linear Multiplicative Complexity,
ICIP06(377-380).
IEEE DOI 0610
BibRef

Antoniol, G., Ceccarelli, M., Petrosino, A.,
Microarray Image Addressing Based on the Radon Transform,
ICIP05(I: 13-16).
IEEE DOI 0512
BibRef

Svalbe, I.[Imants], Kingston, A.[Andrew],
On Correcting the Unevenness of Angle Distributions Arising from Integer Ratios Lying in Restricted Portions of the Farey Plane,
IWCIA04(110-121).
Springer DOI 0505
Projections must go to image grid positions, but they don't always do that. BibRef

Svalbe, I.,
An Image Labeling Mechanism Using Digital Radon Projections,
ICIP01(III: 1015-1018).
IEEE DOI 0108
BibRef

Smeraldi, F., Rob, M.A.,
Ranklets on hexagonal pixel lattices,
BMVC03(xx-yy).
HTML Version. 0409
On square grid, similar to Haar. BibRef

Boussakta, S., Alshibami, O., Bouridane, A.,
Radix-4x4 for fast calculation of the 2-D NMNT,
ICIP03(I: 709-712).
IEEE DOI 0312
2D new Mersenne number transform. BibRef

Reichel, J., Ziliani, F.,
Controlled temporal Haar transform for video coding,
ICIP03(II: 767-770).
IEEE DOI 0312
BibRef

Crigoryan, A.M., Agaian, S.S., Manukyan, A.R.,
A novel method of splitting the 3-D discrete Hartley transform,
ICIP03(I: 1009-1012).
IEEE DOI 0312
BibRef

Ye, Q.G.[Qhi-Ghua], Huang, H.N.[Hai-Ning], He, X.[Xinyi], Zhang, C.H.[Chun-Hua],
A SR-based radon transform to extract weak lines from noise images,
ICIP03(I: 849-852).
IEEE DOI 0312
BibRef

Yarman, C.E., Yazici, B.,
Exponential Radon Transform Inversion Based on Harmonic Analysis of the Euclidean Motion Group,
ICIP05(III: 613-615).
IEEE DOI 0512
BibRef
Earlier:
Radon Transform Inversion via Wiener Filtering over the Euclidean Motion Group,
ICIP03(II: 811-814).
IEEE DOI 0312
BibRef

Lienhart, R., Maydt, J.,
An extended set of Haar-like features for rapid object detection,
ICIP02(I: 900-903).
IEEE DOI 0210
BibRef

Grigoryan, A.M.,
Three Algorithms for Computing the 2-d Discrete Hartley Transform,
ICIP00(Vol II: 359-362).
IEEE DOI 0008
BibRef

Siebert, A.,
A linear shift invariant multiscale transform,
ICIP98(III: 688-691).
IEEE DOI 9810
BibRef

Kazantsev, I.,
A New Formula of the Radon Transform Inversion,
ICIP97(I: 189-191).
IEEE DOI BibRef 9700

Sarukhanyan, H.G.[Hakob G.],
Decomposition of the Hadamard matrices and fast Hadamard transform,
CAIP97(575-581).
Springer DOI 9709
BibRef

Stiller, C., Konrad, J.,
Region-adaptive transform based on a stochastic model,
ICIP95(II: 264-267).
IEEE DOI 9510
BibRef

Maragos, P., Bovik, A.C.,
Demodulation of images modeled by amplitude-frequency modulations using multidimensional energy separation,
ICIP94(III: 421-425).
IEEE DOI 9411
BibRef

Baringer, W.B., Brodersen, R.W., Petkovic, D.,
Computer vision hardware using the Radon transform,
CVPR91(508-513).
IEEE DOI 0403
BibRef

Gindi, G.R., Gmitro, A.F.,
Optical Feature Extraction Via the Radon Transform,
ICPR84(702-704). BibRef 8400

Chapter on Image Processing, Restoration, Enhancement, Filters, Image and Video Coding continues in
Afine Transforms .


Last update:Mar 16, 2024 at 20:36:19