12.3.1.6 Matching, Descriptions Using Moments

Chapter Contents (Back)
Moments. Moment Invariants. Moment Matching. Matching, Moments.

Hu, M.K.,
Pattern Recognition by Moment Invariants,
PIRE(49), 1961, p. 1428. BibRef 6100

Hu, M.K.,
Visual Pattern Recognition by Moment Invariants,
IT(8), No. 2, February 1962, pp. 179-187. BibRef 6202 CMetImAly77(113-121). The Fundamental Theorem of Moment Invariants. For more modern and better formulation: See also n-Dimensional Moment Invariants and Conceptual Mathematical Theory of Recognition n-Dimensional Solids. BibRef

Alt, F.L.[Franz L.],
Digital Pattern Recognition by Moments,
JACM(9), No. 2, April 1962, pp. 240-258. BibRef 6204
And: OCR62(153-179). BibRef

Doyle, W.,
Operations Useful for Similarity-Invariant Pattern Recognition,
JACM(9), No. 2, April 1962, pp. 259-267. BibRef 6204

Giuliano, V.E., Jones, P.E., Kimball, G.E., Meyer, R.F., and Stein, B.A.,
Automatic Pattern Recognition by a Gestalt Method,
InfoControl(4), 1961, pp. 332-345. BibRef 6100

Meyer, R.F., Giuliano, V.E., Jones, P.E.,
Analytic Approximation and Translation Invariance in Character Recognition,
OCR62(181-195). BibRef 6200

Udagawa, K., Toriwaki, J., and Sugino, K.,
Normalization and Recognition of Two-Dimensional Patterns with Linear Distortion by Moments,
Electr. Commun.(47), Japan, 1964, pp. 34-46. BibRef 6400

Smith, F.W., and Wright, M.H.,
Automatic Ship Photo Interpretation by the Method of Moments,
TC(20), No. 9, September 1971, pp. 1089-1095. BibRef 7109

Richard, C.W., and Hemani, H.,
Identification of Three Dimensional Objects Using Fourier Descriptors of the Boundary Curve,
SMC(4), No. 4, 1974, pp. 371-378. BibRef 7400

Dudani, S.A., Breeding, K.J., and McGhee, R.B.,
Aircraft Identification by Moment Invariants,
TC(26), No. 1, January 1977, pp. 39-46. Recognize Aircraft. Matching, Moments. Recognition based on the global shape features. Early contour paper that used moments for recognition. BibRef 7701

Dirilten, H., and Newman, T.G.,
Pattern Matching Under Affine Transformations,
TC(26), 1977, pp. 314-317. BibRef 7700

Wong, R.Y., and Hall, E.L.,
Scene Matching with Invariant Moments,
CGIP(8), No. 1, 1978, pp. 16-24. BibRef 7800

Maitra, S.,
Moment Invariants,
PIEEE(67), 1979, pp. 697-699. BibRef 7900

Sadjadi, F.A., and Hall, E.L.,
Three-Dimensional Moment Invariants,
PAMI(2), No. 2, 1980, pp. 127-136. BibRef 8000
Earlier:
Object Recognition by Three Dimensional Moment Invariants,
PRIP79(327-336). Moments. A generalization to 3-D of See also Visual Pattern Recognition by Moment Invariants. BibRef

Sadjadi, F.A., Hall, E.L.,
Numerical Computations of Moment Invariants for Scene Analysis,
PRIP78(181-187). BibRef 7800

Samu, T.I.[Tayib I.], Sadjadi, F.A.[Firooz A.], Hall, E.L.[Ernest L.],
Three-Dimensional Moment Invariants for Automated Target Recognition,
SPIE(2756), 1996, pp. 230-237. BibRef 9600

Teague, M.R.,
Image Analysis via the General Theory of Moments,
JOSA(70), No. 8, August 1980, pp. 920-930. BibRef 8008

Mero, L.,
An Algorithm for Scale- and Rotation-Invariant Recognition of Two-Dimensional Objects,
CGIP(15), No. 3, March 1981, pp. 279-287.
WWW Link. BibRef 8103

Peli, T.,
An Algorithm for Recognition and Localization of Roatated and Scaled Objects,
PIEEE(69), 1981, pp. 483-485. BibRef 8100

Wiejak, J.S.,
Moment Invariants in Theory and Practice,
IVC(1), No. 2, May 1983, pp. 79-83.
WWW Link. BibRef 8305

Boyce, J.F., Hossack, W.J.,
Moment Invariants for Pattern Recognition,
PRL(1), 1983, pp. 451-456. BibRef 8300

Abu-Mostafa, Y.S., and Psaltis, D.,
Recognitive Aspects of Moment Invariants,
PAMI(6), No. 6, November 1984, pp. 698-706. BibRef 8411

Abu-Mostafa, Y.S., and Psaltis, D.,
Image Normalization by Complex Moments,
PAMI(7), No. 1, January 1985, pp. 46-55. Using moments to transform planar images to standard view. BibRef 8501

Bamieh, B., de Figueiredo, R.J.P.,
A General Moment-Invariants/Attributed-Graph Method for Three-Dimensional Object Recognition from a Single Image,
RA(2), 1986, pp. 31-41. BibRef 8600

Reddi, S.S.,
Radial and Angular Moment Invariants for Image Identification,
PAMI(3), No. 2, March 1981, pp. 240-242. More general moment invariants than given by 20 years earlier by M.K. Hu( See also Visual Pattern Recognition by Moment Invariants. ). BibRef 8103

Gupta, L., Srinath, M.D.,
Contour Sequence Moments For The Classification Of Closed Planar Shapes,
PR(20), No. 3, 1987, pp. 267-272.
WWW Link. BibRef 8700

Reiss, T.H.,
The Revised Fundamental Theorem of Moment Invariants,
PAMI(13), No. 8, August 1991, pp. 830-834.
IEEE DOI BibRef 9108

Reeves, A.P., Prokop, R.J., Andrews, S.E., and Kuhl, F.P.,
Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors,
PAMI(10), No. 6, November 1988, pp. 937-943.
IEEE DOI BibRef 8811
Earlier: ICPR84(447-450). Fourier Descriptors. Combination of both Fourier descriptors and moments. See also Identification of Three-Dimensional Objects Using Range Information. BibRef

Reeves, A.P., and Wittner, B.S.,
Shape Analysis of Three Dimensional Objects Using the Method of Moments,
CVPR83(20-26). BibRef 8300

Reeves, A.P., and Rostampour, A.,
Shape Analysis of Segmented Objects Using Moments,
PRIP81(171-174). BibRef 8100

Prokop, R.J.[Richard J.], Reeves, A.P.[Anthony P.],
A Survey of Moment-Based Techniques for Unoccluded Object Representation and Recognition,
GMIP(54), No. 5, September 1992, pp. 438-460. Survey, Moments. BibRef 9209

Faber, T.L., and Stokely, E.M.,
Orientation of 3-D Structures in Medical Images,
PAMI(10), No. 5, September 1988, pp. 626-633.
IEEE DOI Moments. BibRef 8809

Chou, C.H., Chen, Y.C.,
Moment-Preserving Pattern Matching,
PR(23), No. 5, 1990, pp. 461-474.
WWW Link. BibRef 9000

Belkasim, S.O., Shridhar, M., Ahmadi, M.,
Pattern Recognition With Moment Invariants: A Comparative Study and New Results,
PR(24), No. 12, 1991, pp. 1117-1138.
WWW Link. BibRef 9100

Li, Y.,
Reforming the Theory of Invariant Moments for Pattern Recognition,
PR(25), No. 7, July 1992, pp. 723-730.
WWW Link. BibRef 9207

Markandey, V., de Figueiredo, R.J.P.,
Robot Sensing Techniques Based on High-Dimensional Moment Invariants and Tensors,
RA(8), No. 2, April 1992, pp. 186-195. Higher dimensional application of See also Visual Pattern Recognition by Moment Invariants. BibRef 9204

Wen, W., Lozzi, A.,
Recognition and Inspection of Two-Dimensional Industrial Parts Using Subpolygons,
PR(25), No. 12, December 1992, pp. 1427-1434.
WWW Link. BibRef 9212

Wen, W., and Lozzi, A.,
Recognition and Inspection of Manufactured Parts Using Line Moments of Their Boundaries,
PR(26), No. 10, October 1993, pp. 1461-1471.
WWW Link. BibRef 9310

Wen, W., Lozzi, A.,
Transformation Independent Recognition of 2-D Industrial Parts,
ICPR92(I:680-683).
IEEE DOI BibRef 9200

Li, B., Shen, J.,
Range-Image-Based Calculation of Three-Dimensional Convex Object Moments,
RA(9), 1993, pp. 484-490. BibRef 9300

Chen, C.C.,
Improved Moment Invariants For Shape Discrimination,
PR(26), No. 5, May 1993, pp. 683-686.
WWW Link. BibRef 9305

Tsirikolias, K., Mertzios, B.G.,
Statistical Pattern Recognition Using Efficient Two-Dimensional Moments with Applications to Character Recognition,
PR(26), No. 6, June 1993, pp. 877-882.
WWW Link. BibRef 9306

Sheng, Y.L.[Yun-Long], and Shen, L.X.[Li-Xin],
Orthogonal Fourier-Mellin moments for invariant pattern recognition,
JOSA-A(11), No. 6, June 1994, pp. 1748-1757. BibRef 9406

Ping, Z.L.[Zi-Liang], Ren, H.P.[Hai-Ping], Zou, J.[Jian], Sheng, Y.L.[Yun-Long], Bo, W.[Wurigen],
Generic orthogonal moments: Jacobi-Fourier moments for invariant image description,
PR(40), No. 4, April 2007, pp. 1245-1254.
WWW Link. 0701
Jacobi polynomial; Multi-distorted invariance; Jacobi-Fourier Moments; Image reconstruction error; Noise sensibility See also Errata and comments on Generic orthogonal moments: Jacobi-Fourier moments for invariant image description. BibRef

Wallin, A., Kubler, O.,
Complete Sets of Complex Zernike Moment Invariants and the Role of the Pseudoinvariants,
PAMI(17), No. 11, November 1995, pp. 1106-1110.
IEEE DOI BibRef 9511

Bhattacharya, D., Sinha, S.,
Invariance of Stereo Images via the Theory of Complex Moments,
PR(30), No. 9, September 1997, pp. 1373-1386.
WWW Link. 9708
BibRef

Liao, S.X.[Simon X.], Pawlak, M.[Miroslaw],
On the Accuracy of Zernike Moments for Image Analysis,
PAMI(20), No. 12, December 1998, pp. 1358-1364.
IEEE DOI Limit in precision due to circular domain. Analysis for discretization errors and reconstructive power. See also On Digital Approximation of Moment Descriptors. BibRef 9812

Liao, S.X.[Simon X.], Pawlak, M.[Miroslaw],
On Image-Analysis By Moments,
PAMI(18), No. 3, March 1996, pp. 254-266.
IEEE DOI BibRef 9603
Earlier: A2, A1:
On Image Analysis via Orthogonal Moments,
VI92(253-258). May 1992. BibRef
And:
On Image Analysis by Orthogonal Moments,
ICPR92(III:549-552).
IEEE DOI Using moments for reconstruction of image data, such as characters. BibRef

Liao, S.X.[Simon X.],
Image Analysis by Moments,
Ph.D.Thesis, University of Manitoba, 1993. BibRef 9300

Flusser, J., Suk, T., Saic, S.,
Recognition of Blurred Images by the Method of Moments,
IP(5), No. 3, March 1996, pp. 533-538.
IEEE DOI See also Pattern Recognition by Affine Moment Invariants. BibRef 9603

Flusser, J.[Jan], Boldys, J.[Jiri], Zitová, B.[Barbara],
Moment forms invariant to rotation and blur in arbitrary number of dimensions,
PAMI(25), No. 2, February 2003, pp. 234-246.
IEEE DOI 0301
See also Pattern Recognition by Affine Moment Invariants. BibRef

Flusser, J., Suk, T., Boldys, J., Zitova, B.,
Projection Operators and Moment Invariants to Image Blurring,
PAMI(37), No. 4, April 2015, pp. 786-802.
IEEE DOI 1503
Apertures BibRef

Boldyš, J.[Jirí], Flusser, J.[Jan],
Extension of Moment Features' Invariance to Blur,
JMIV(32), No. 3, November 2008, pp. xx-yy.
Springer DOI 0810
BibRef

Rothe, I.[Irene], Süsse, H.[Herbert], Voss, K.[Klaus],
The Method of Normalization to Determine Invariants,
PAMI(18), No. 4, April 1996, pp. 366-376.
IEEE DOI 9605
Fourier Descriptors. Moments. BibRef

Süsse, H.[Herbert], Voss, K.[Klaus], Rothe, I.[Irene],
Invariant standard positions of ordered sets of points,
CAIP95(9-16).
Springer DOI 9509
BibRef

Brochard, J., Coutin, L., Leard, M.,
Modeling of Rigid Objects by Bidimensional Moments: Applications to the Estimation of 3D Rotations,
PR(29), No. 6, June 1996, pp. 889-902.
WWW Link. 9606
BibRef

Galvez, J.M., Canton, M.,
Normalization and Shape Recognition of Three-Dimensional Objects by 3D Moments,
PR(26), No. 5, May 1993, pp. 667-681.
WWW Link. BibRef 9305

Mhidra, H., Brochard, J., Leard, M.,
AR Models and Bidimensional Discrete Moments Applied to Texture Modelling and Recognition,
PR(26), No. 5, May 1993, pp. 721-726.
WWW Link. BibRef 9305

Mukundan, R., Ramakrishnan, K.R.,
An Iterative Solution for Object Pose Parameters Using Image Moments,
PRL(17), No. 12, October 25 1996, pp. 1279-1284. 9612
BibRef

Stern, A., Kopeika, N.S.,
Analytical Method to Calculate Optical Transfer-Functions for Image Motion and Vibrations Using Moments,
JOSA-A(14), No. 2, February 1997, pp. 388-396. 9702
BibRef

Mukundan, R., Malik, N.K., Ramakrishnan, K.R.,
Attitude Estimation Using Moment Invariants,
PRL(14), 1993, pp. 199-205. BibRef 9300

Grace, A.E., Spann, M.,
A Comparison Between Fourier-Mellin Descriptors and Moment Based Features for Invariant Object Recognition Using Neural Networks,
PRL(12), 1991, pp. 635-643. BibRef 9100

Wohn, K., Wu, J.,
Estimating the Finite Displacement Using Moments,
PRL(11), 1990, pp. 371-378. BibRef 9000

Zhu, M., Hasani, S., Bhattarai, S., Singh, H.,
Pattern Recognition with Moment Invariants on a Machine Vision System,
PRL(9), 1989, pp. 175-180. BibRef 8900

Gruber, M.[Matthias], Hsu, K.Y.[Ken-Yuh],
Moment-Based Image Normalization with High Noise-Tolerance,
PAMI(19), No. 2, February 1997, pp. 136-139.
IEEE DOI 9703
Analysis of effects of non-zero mean noise. Reduce sensitivity by using fractional moments and negative moments. BibRef

Zhao, D.M., Chen, J.,
Affine Curve Moment Invariants for Shape-Recognition,
PR(30), No. 6, June 1997, pp. 895-901.
WWW Link. 9706
BibRef

Slater, D.A., Healey, G.,
Modeling the Sensitivity of Moment Invariants in a Recognition System,
JOSA-A(15), No. 5, May 1998, pp. 1068-1076. 9805
BibRef

Salama, G.I.M.[Gouda I.M.], Abbott, A.L.[A. Lynn],
Moment Invariants and Quantization Effects,
CVPR98(157-163).
IEEE DOI BibRef 9800

Mamistvalov, A.G.[Alexander G.],
n-Dimensional Moment Invariants and Conceptual Mathematical Theory of Recognition n-Dimensional Solids,
PAMI(20), No. 8, August 1998, pp. 819-831.
IEEE DOI Discusses corrections to the standard reference on Moments: See also Visual Pattern Recognition by Moment Invariants. Explores the errors in this and the other derived papers. BibRef 9808

Schweitzer, H., Straach, J.,
Utilizing Moment Invariants and Grobner Bases to Reason About Shapes,
CompIntel(14), No. 4, November 1998, pp. 461-474. 9810
BibRef

Chim, Y.C., Kassim, A.A., Ibrahim, Y.,
Character recognition using statistical moments,
IVC(17), No. 3/4, March 1999, pp. 299-307.
WWW Link. BibRef 9903

Balslev, I.,
Noise tolerance of moment invariants in pattern recognition,
PRL(19), No. 13, November 1998, pp. 1183-1189. BibRef 9811

Pei, S.C., Horng, J.H.,
A Moment-Based Approach for Deskewing Rotationally Symmetric Shapes,
IP(8), No. 12, December 1999, pp. 1831-1834.
IEEE DOI 9912
BibRef
Earlier: ICPR96(I: 248-252).
IEEE DOI 9608
(National Taiwan Univ., ROC) BibRef

Flusser, J.[Jan],
On the independence of rotation moment invariants,
PR(33), No. 9, September 2000, pp. 1405-1410.
WWW Link. 0005
BibRef

Flusser, J.[Jan],
On the inverse problem of rotation moment invariants,
PR(35), No. 12, December 2002, pp. 3015-3017.
WWW Link. 0209
BibRef

Palaniappan, R., Raveendran, P., Omatu, S.,
Neural Network Classification of Symmetrical and Nonsymmetrical Images Using New Moments with High Noise Tolerance,
PRAI(13), No. 8, December 1999, pp. 1233. 0005
BibRef

Palaniappan, R., Raveendran, P., Omatu, S.,
New Invariant Moments for Non-Uniformly Scaled Images,
PAA(3), No. 2, 2000, pp. 78-87. 0010
BibRef

Kan, C.[Chao], Srinath, M.D.[Mandyam D.],
Invariant character recognition with Zernike and orthogonal Fourier-Mellin moments,
PR(35), No. 1, January 2002, pp. 143-154.
WWW Link. 0111
BibRef

Chong, C.W.[Chee-Way], Raveendran, P., Mukundan, R.,
Translation and scale invariants of Legendre moments,
PR(37), No. 1, January 2004, pp. 119-129.
WWW Link. 0311
BibRef

Candocia, F.M.[Frank M.],
Moment relations and blur invariant conditions for finite-extent signals in one, two and N-dimensions,
PRL(25), No. 4, March 2004, pp. 437-447.
WWW Link. 0402
Evaluation of features. See also Degraded Image-Analysis: An Invariant Approach. BibRef

Mindru, F.[Florica], Tuytelaars, T.[Tinne], Van Gool, L.J.[Luc J.], Moons, T.[Theo],
Moment invariants for recognition under changing viewpoint and illumination,
CVIU(94), No. 1-3, April-June 2004, pp. 3-27.
WWW Link. 0405
BibRef

Mindru, F., Van Gool, L.J., Moons, T.,
Model estimation for photometric changes of outdoor planar color surfaces caused by changes in illumination and viewpoint,
ICPR02(I: 620-623).
IEEE DOI 0211
BibRef

Gope, C., Kehtarnavaz, N., Hillman, G., Würsig, B.,
An affine invariant curve matching method for photo-identification of marine mammals,
PR(38), No. 1, January 2005, pp. 125-132.
WWW Link. 0410
BibRef

Gope, C., Kehtarnavaz, N.,
Affine invariant comparison of point-sets using convex hulls and hausdorff distances,
PR(40), No. 1, January 2007, pp. 309-320.
WWW Link. 0611
Affine invariant; Convex hull; Hausdorff distance; Point-pattern comparison; Shape matching BibRef

Kehtarnavaz, N., Peddigari, V., Chandan, C., Syed, W., Hillman, G., Wursig, B.,
Photo-Identification of Humpback and Gray Whales using Affine Moment Invariants,
SCIA03(109-116).
Springer DOI 0310
BibRef

Liu, J.[Jin], Zhang, T.X.[Tian-Xu],
Matching and normalization of affine deformed image from regular moments,
PRL(25), No. 14, 15 October 2004, pp. 1619-1631.
WWW Link. 0410
See also Fast algorithm for generation of moment invariants. BibRef

Kamila, N.K., Mahapatra, S., Nanda, S.,
Retracted Paper: Invariance image analysis using modified Zernike moments,
PRL(26), No. 6, 1 May 2005, pp. 747-753.
WWW Link. 0501
BibRef
And: Retraction: PRL(28), No. 13, 1 October 2007, pp. 1852.
WWW Link. 0709
Retracted. Do not reference. See: "Invariance analysis of improved Zernike moments", Y. Bin, P. Jia-Xiong, Journal of Optics A: Pure and Applied Optics 4 (2002) 606-614. BibRef

Rodtook, A.[Annupan], Makhanov, S.S.[Stanislav S.],
Numerical experiments on the accuracy of rotation moments invariants,
IVC(23), No. 6, 1 June 2005, pp. 577-586.
WWW Link. 0505
BibRef

Liu, J.[Jin], Zhang, T.X.[Tian-Xu],
Recognition of the blurred image by complex moment invariants,
PRL(26), No. 8, June 2005, pp. 1128-1138.
WWW Link. 0506
BibRef

Ghorbel, F., Derrode, S., Mezhoud, R., Bannour, T., Dhahbi, S.,
Image reconstruction from a complete set of similarity invariants extracted from complex moments,
PRL(27), No. 12, September 2006, pp. 1361-1369.
WWW Link. 0606
Complex moments; Reconstruction; Similarity invariants BibRef

Cerjan, C.[Charles],
Zernike-Bessel representation and its application to Hankel transforms,
JOSA-A(24), No. 6, June 2007, pp. 1609-1616.
WWW Link. 0801
BibRef

Tzimiropoulos, G., Mitianoudis, N., Stathaki, T.,
A Unifying Approach to Moment-Based Shape Orientation and Symmetry Classification,
IP(18), No. 1, January 2009, pp. 125-139.
IEEE DOI 0812
BibRef

Zhang, F.[Feng], Liu, S.Q.[Shang-Qian], Wang, D.B.[Da-Bao], Guan, W.[Wei],
Aircraft recognition in infrared image using wavelet moment invariants,
IVC(27), No. 4, 3 March 2009, pp. 313-318.
Elsevier DOI 0804
Wavelet moment invariants; Image recognition; Moment invariants; Rotation invariant BibRef

Li, S., Lee, M.C., Pun, C.M.,
Complex Zernike Moments Features for Shape-Based Image Retrieval,
SMC-A(39), No. 1, January 2009, pp. 227-237.
IEEE DOI 0901
BibRef

Pun, C.M.[Chi-Man], Lin, C.[Cong],
Robust Region Descriptors for Shape Classification,
CGiV16(269-272)
IEEE DOI 1608
image classification BibRef

Pun, C.M.[Chi-Man], Lin, C.[Cong],
Geometric Invariant Shape Classification Using Hidden Markov Model,
DICTA10(406-410).
IEEE DOI 1012
BibRef

Revaud, J.[Jérôme], Lavoué, G.[Guillaume], Baskurt, A.[Atilla],
Improving Zernike Moments Comparison for Optimal Similarity and Rotation Angle Retrieval,
PAMI(31), No. 4, April 2009, pp. 627-636.
IEEE DOI 0903
Include Phase information in addition to the usual magnitude. Apply to 3d recognition of line drawings. BibRef

Goh, H.A.[Hock-Ann], Chong, C.W.[Chee-Way], Besar, R.[Rosli], Abas, F.S.[Fazly Salleh], Sim, K.S.[Kok-Swee],
Translation and Scale Invariants of Hahn Moments,
IJIG(9), No. 2, April 2009, pp. 271-285. 0905
BibRef

Zunic, J.[Jovisa], Hirota, K.[Kaoru], Rosin, P.L.[Paul L.],
A Hu moment invariant as a shape circularity measure,
PR(43), No. 1, January 2010, pp. 47-57.
Elsevier DOI 0909
Shape; Circularity measure; Moments; Hu moment invariants; Image processing BibRef

Rosin, P.L.[Paul L.],
Shape Description by Bending Invariant Moments,
CAIP11(I: 253-260).
Springer DOI 1109
BibRef

Yap, P.T.[Pew-Thian], Jiang, X.D.[Xu-Dong], Kot, A.C.[Alex Chichung],
Two-Dimensional Polar Harmonic Transforms for Invariant Image Representation,
PAMI(32), No. 7, July 2010, pp. 1259-1270.
IEEE DOI 1006
BibRef
Earlier:
Boosted complex moments for discriminant rotation invariant object recognition,
ICPR08(1-4).
IEEE DOI 0812
Computation is more stable than moments. BibRef

Guo, L.Q.[Li-Qiang], Zhu, M.[Ming],
Quaternion Fourier-Mellin moments for color images,
PR(44), No. 2, February 2011, pp. 187-195.
Elsevier DOI 1011
Quaternion; Quaternion Fourier-Mellin moments; Moment invariant; Color image registration BibRef

Yang, B.[Bo], Li, G.X.[Geng-Xiang], Zhang, H.L.[Hui-Long], Dai, M.[Mo],
Rotation and translation invariants of Gaussian-Hermite moments,
PRL(32), No. 9, 1 July 2011, pp. 1283-1298.
Elsevier DOI 1101
Orthogonal polynomials; Gaussian-Hermite moments; Moment invariants; Rotation and translation invariants BibRef

Yang, B.[Bo], Flusser, J.[Jan], Suk, T.[Tomáš],
3D rotation invariants of Gaussian-Hermite moments,
PRL(54), No. 1, 2015, pp. 18-26.
Elsevier DOI 1502
Rotation invariants BibRef

Yang, B.[Bo], Dai, M.[Mo],
Image reconstruction from continuous Gaussian-Hermite moments implemented by discrete algorithm,
PR(45), No. 4, 2012, pp. 1602-1616.
Elsevier DOI 1410
Orthogonal polynomials BibRef

Singh, C.[Chandan], Walia, E.[Ekta], Mittal, N.[Neerja],
Rotation invariant complex Zernike moments features and their applications to human face and character recognition,
IET-CV(5), No. 5, 2011, pp. 255-265.
DOI Link 1110
BibRef

Singh, C.[Chandan], Walia, E.[Ekta], Mittal, N.[Neerja],
Robust two-stage face recognition approach using global and local features,
VC(27), No. 11, November 2011, pp. 1085-1098.
WWW Link. 1210
BibRef

Singh, C.[Chandan], Mittal, N.[Neerja], Walia, E.[Ekta],
Complementary feature sets for optimal face recognition,
JIVP(2014), No. 1, 2014, pp. 35.
DOI Link 1407
BibRef

Xiao, B.[Bin], Ma, J.F.[Jian-Feng], Cui, J.T.[Jiang-Tao],
Radial Tchebichef moment invariants for image recognition,
JVCIR(23), No. 2, February 2012, pp. 381-386.
Elsevier DOI 1201
BibRef
Earlier:
Invariant Image Recognition Using Radial Jacobi Moment Invariants,
ICIG11(280-285).
IEEE DOI 1109
Radial Tchebichef moments; Images reconstruction; Image recognition; Invariant moments; Orthogonal moments; Polar coordinate; Complex moments; Orthogonal Fourier-Mellin moments BibRef

Xiao, B.[Bin], Wang, G.Y.[Guo-Yin],
Generic radial orthogonal moment invariants for invariant image recognition,
JVCIR(24), No. 7, 2013, pp. 1002-1008.
Elsevier DOI 1309
Radial orthogonal moments BibRef

Xiao, B.[Bin], Ma, J.F.[Jian-Feng], Cui, J.T.[Jiang-Tao],
Combined blur, translation, scale and rotation invariant image recognition by Radon and pseudo-Fourier-Mellin transforms,
PR(45), No. 1, 2012, pp. 314-321.
Elsevier DOI 1410
Blur invariants BibRef

Crespo, J.B.F.P.[Joao B.F.P.], Aguiar, P.M.Q.[Pedro M.Q.],
Revisiting Complex Moments for 2-D Shape Representation and Image Normalization,
IP(20), No. 10, October 2011, pp. 2896-2911.
IEEE DOI 1110
BibRef
Earlier:
The 2D orientation is unique through principal moments analysis,
ICIP10(1845-1848).
IEEE DOI 1009
BibRef

Crespo, J.F.P.[Joăo F.P.], Lopes, G.A.S.[Gustavo A.S.], Aguiar, P.M.Q.[Pedro M.Q.],
Principal moments for efficient representation of 2D shape,
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Minhas, R.[Rashid], Mohammed, A.A.[Abdul Adeel], Wu, Q.M.J.[Q.M. Jonathan],
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Elsevier DOI 1306
Jacobi polynomials; Legendre polynomials; Chebyshev polynomials; Zernike moments; Pseudo-Zernike moments; Orthogonal Fourier-Mellin moments; Chebyshev-Fourier moments; Pseudo-Jacobi-Fourier moments See also Generic orthogonal moments: Jacobi-Fourier moments for invariant image description. BibRef

Gong, M.[Ming], Li, H.[Hua], Cao, W.G.[Wei-Guo],
Moment invariants to affine transformation of colours,
PRL(34), No. 11, 1 August 2013, pp. 1240-1251.
Elsevier DOI 1306
Colour; Moment invariants; Affine transformation; Pattern recognition; Image retrieval BibRef

Li, Y.N.[Yue Nan],
Quaternion Polar Harmonic Transforms for Color Images,
SPLetters(20), No. 8, 2013, pp. 803-806.
IEEE DOI 1307
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Dominguez, S.,
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PRL(34), No. 16, 2013, pp. 2065-2070.
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Moment invariants BibRef

Shao, Z.H.[Zhu-Hong], Shu, H.Z.[Hua-Zhong], Wu, J.S.[Jia-Song], Chen, B.J.[Bei-Jing], Coatrieux, J.L.[Jean Louis],
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Bujack, R.[Roxana], Hlawitschka, M.[Mario], Scheuermann, G.[Gerik], Hitzer, E.[Eckhard],
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Elsevier DOI 1407
Moment invariant BibRef

Mousavi, B.S.[B. Somayeh], Soleymani, F.[Fazlollah], Razmjooy, N.[Navid],
Semantic image classification by genetic algorithm using optimised fuzzy system based on Zernike moments,
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Springer DOI 1407
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Hmimid, A.[Abdeslam], Sayyouri, M.[Mhamed], Qjidaa, H.[Hassan],
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Elsevier DOI 1411
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ICISP14(441-449).
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Bivariate discrete orthogonal polynomials BibRef

Xiao, B.[Bin], Wang, G.Y.[Guo-Yin], Li, W.S.[Wei-Sheng],
Radial shifted Legendre moments for image analysis and invariant image recognition,
IVC(32), No. 12, 2014, pp. 994-1006.
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Orthogonal moments BibRef

Kang, T.K.[Tae-Koo], Choi, I.H.[In-Hwan], Lim, M.T.[Myo-Taeg],
MDGHM-SURF: A robust local image descriptor based on modified discrete Gaussian-Hermite moment,
PR(48), No. 3, 2015, pp. 670-684.
Elsevier DOI 1412
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Wang, Y.[Yuan_Bin], Wang, X.[Xing_Wei], Zhang, B.[Bin], Wang, Y.[Ying],
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Springer DOI 1503
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Diao, L.H.[Lu-Hong], Peng, J.[Juan], Dong, J.L.[Jun-Liang], Kong, F.[Fanyu],
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Moment invariants BibRef

Wang, X.[Xuan], Yang, T.[Tengfei], Guo, F.[Fangxia],
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Cheng, H.N.[Huai-Ning], Chung, S.M.[Soon M.],
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3D shape descriptor BibRef

Žunic, J.[Joviša], Hirota, K.[Kaoru], Dukic, D.[Dragan], Aktas, M.A.[Mehmet Ali],
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Springer DOI 1601
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Žunic, J.[Joviša], Žunic, D.[Dragiša],
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Batioua, I.[Imad], Benouini, R.[Rachid], Zenkouar, K.[Khalid], Zahi, A.[Azeddine], Hakim, E.[El_Fadili],
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PR(71), No. 1, 2017, pp. 264-277.
Elsevier DOI 1707
3D, image, analysis BibRef


Moujahid, D., Elharrouss, O., Tairi, H.,
Image Analysis Using Disc-Harmonic Moments and Their RST Invariants in Pattern Recognition,
CGiV16(150-155)
IEEE DOI 1608
data analysis BibRef

El Mallahi, M., Mesbah, A., Qjidaa, H., Zenkouar, K., El Fadili, H.,
Translation and scale invariants of three-dimensional Tchebichef moments,
ISCV15(1-5)
IEEE DOI 1506
image classification BibRef

Wei, X.[Xue], Phung, S.L.[Son Lam], Bouzerdoum, A.[Abdesselam], Bermak, A.,
Invariant image recognition under projective deformations: An image normalization approach,
VCIP15(1-4)
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Benchmark testing BibRef

Wei, X.[Xue], Phung, S.L.[Son Lam], Bouzerdoum, A.[Abdesselam],
Affine-invariant scene categorization,
ICIP14(1031-1035)
IEEE DOI 1502
Computer vision BibRef

Garcia-Ordas, M.T.[Maria Teresa], Alegre, E.[Enrique], Gonzalez-Castro, V.[Victor], Garcia-Ordas, D.[Diego],
aZIBO: A New Descriptor Based in Shape Moments and Rotational Invariant Features,
ICPR14(2395-2400)
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absolute Zernike moments with Invariant Boundary Orientation. BibRef

Camacho-Bello, C., Báez-Rojas, J.J.,
Angle Estimation Using Hahn Moments for Image Analysis,
CIARP14(127-134).
Springer DOI 1411
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Zhang, R.L.[Ru-Liang], Wang, L.[Lin],
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IASP11(113-117).
IEEE DOI 1112
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Mukundan, R.[Ramakrishnan],
A New Set of Normalized Geometric Moments Based on Schlick's Approximation,
ISVC07(II: 205-213).
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Liu, H.M.[Hong-Mei], Rui, W.[Wei], Huang, J.W.[Ji-Wu],
Binary Image Authentication using Zernike Moments,
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Lange, M.[Mikhail], Ganebnykh, S.[Sergey], Lange, A.[Andrey],
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IbPRIA07(I: 523-530).
Springer DOI 0706
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Maaoui, C., Laurent, H., Rosenberger, C.,
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ICIP05(III: 976-979).
IEEE DOI 0512
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Ruberto, C., Morgera, A.,
A Comparison of 2-D Moment-Based Description Techniques,
CIAP05(212-219).
Springer DOI 0509
BibRef

Martinez, J., Thomas, F.,
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ICIP03(I: 217-220).
IEEE DOI 0312
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Poupon, F.[Fabrice], Mangin, J.F.[Jean-Francois], Frouin, V.[Vincent], and Magnin, I.[Isabelle],
3d Multi-Object Deformable Template Based on Moment Invariants,
SCIA97(xx-yy)
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Horikawa, Y.,
Pattern Recognition with Invariance to Similarity Transformations Based on the Third-Order Correlation,
ICPR96(II: 200-204).
IEEE DOI 9608
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Recognition via Consensus of Local Moments of Brightness and Orientation,
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IEEE DOI Tracking. BibRef

Cheatham, L., Cassasent, D., and Fetterly, D.,
Distortion Invariant Recognition Using a Moment Feature Space,
CVPR83(171-174). BibRef 8300

Lucas, D.,
Moment Techniques in Picture Analysis,
CVPR83(178-187). BibRef 8300

Lambert, G.[Georg], Gao, H.[Hua],
Line moments and invariants for real time processing of vectorized contour data,
CIAP95(347-352).
Springer DOI 9509
BibRef

Lambert, G., Noll, J.,
Discrimination Properties of Invariants Using the Line Moments of Vectorized Contours,
ICPR96(II: 735-739).
IEEE DOI 9608
(Darmstadt Univ. of Techn., D) BibRef

Ghosal, S., Mehrotra, R.,
Zernike moment-based feature detectors,
ICIP94(I: 934-938).
IEEE DOI 9411
BibRef

Guo, X.[Xuan],
Three dimensional moment invariants under rigid transformation,
CAIP93(518-522).
Springer DOI 9309
BibRef

Ngan, K.N., Kang, S.B.,
Fuzzy quaternion approach to object recognition incorporating Zernike moment invariants,
ICPR90(I: 288-290).
IEEE DOI 9006
BibRef

Fogel, S.V., de Figueiredo, R.J.P.,
A Method for Construction of Complete Invariant Systems of Features for Scene Analysis,
ICPR80(1223-1227). BibRef 8000

Chapter on Registration, Matching and Recognition Using Points, Lines, Regions, Areas, Surfaces continues in
Moment Computation, Computation of Moments .


Last update:Jul 15, 2017 at 20:56:55