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Moments. A generalization to 3-D of
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Abu-Mostafa, Y.S., and
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Reddi, S.S.,
Radial and Angular Moment Invariants for Image Identification,
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More general moment invariants than given by
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Gupta, L.,
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Reeves, A.P.,
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Earlier:
ICPR84(447-450).
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Faber, T.L., and
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IEEE Abstract. IEEE Top Reference.
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Belkasim, S.O.,
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Markandey, V.,
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RA(8), No. 2, April 1992, pp. 186-195.
Higher dimensional application of
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Wen, W.,
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Recognition and Inspection of Two-Dimensional Industrial Parts
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PR(25), No. 12, December 1992, pp. 1427-1434.
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Transformation Independent Recognition of 2-D Industrial Parts,
ICPR92(I:680-683).
IEEE DOI may work or IEEE-CS DOI may work.
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9200
Li, B.,
Shen, J.,
Range-Image-Based Calculation of Three-Dimensional
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WWW Version.
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Tsirikolias, K.,
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PR(26), No. 6, June 1993, pp. 877-882.
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Sinclair, D.,
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PAMI(16), No. 8, August 1994, pp. 769-777.
IEEE Abstract. IEEE Top Reference.
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9408
Sheng, Y.L.[Yun-Long], and
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JOSA-A(11), No. 6, June 1994, pp. 1748-1757.
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Ping, Z.[Ziliang],
Ren, H.[Haiping],
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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 Version.
0701Jacobi polynomial; Multi-distorted invariance; Jacobi-Fourier Moments;
Image reconstruction error; Noise sensibility
BibRef
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Kubler, O.,
Complete Sets of Complex Zernike Moment Invariants and the
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PAMI(17), No. 11, November 1995, pp. 1106-1110.
IEEE Abstract. IEEE Top Reference.
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9511
Bhattacharya, D.,
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PR(30), No. 9, September 1997, pp. 1373-1386.
WWW Version.
9708
BibRef
Liao, S.X.[Simon X.],
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PAMI(20), No. 12, December 1998, pp. 1358-1364.
IEEE Abstract. IEEE Top Reference.
WWW Version. Limit in precision due to circular domain.
Analysis for discretization errors and reconstructive power.
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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 Abstract. IEEE Top Reference.
WWW Version.
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 may work or IEEE-CS DOI may work. 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 may work or IEEE-CS DOI may work.
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 Abstract. IEEE Top Reference.
WWW Version.
0301 See also Pattern Recognition by Affine Moment Invariants.
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 Abstract. IEEE Top Reference.
WWW Version.
9605
Fourier Descriptors.
Moments.
BibRef
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Voss, K.[Klaus],
Rothe, I.[Irene],
Invariant standard positions of ordered sets of points,
CAIP95(9-16).
WWW Version.
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 Version.
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 Version.
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Mhidra, H.,
Brochard, J.,
Leard, M.,
AR Models and Bidimensional Discrete Moments Applied to
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PR(26), No. 5, May 1993, pp. 721-726.
WWW Version.
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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
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Stern, A.,
Kopeika, N.S.,
Analytical Method to Calculate Optical Transfer-Functions for Image Motion
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JOSA-A(14), No. 2, February 1997, pp. 388-396.
9702
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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
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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.
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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 Abstract. IEEE Top Reference.
WWW Version.
9703Analysis 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 Version.
9706
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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
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Salama, G.I.M.[Gouda I.M.],
Abbott, A.L.[A. Lynn],
Moment Invariants and Quantization Effects,
CVPR98(157-163).
IEEE Abstract. IEEE Top Reference.
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 Abstract. IEEE Top Reference.
WWW Version. 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 Version.
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 may work or IEEE-CS DOI may work.
9912
BibRef
Earlier:
ICPR96(I: 248-252).
IEEE DOI may work or IEEE-CS DOI may work.
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 Version.
0005
BibRef
Flusser, J.[Jan],
On the inverse problem of rotation moment invariants,
PR(35), No. 12, December 2002, pp. 3015-3017.
WWW Version.
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
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Palaniappan, R.,
Raveendran, P.,
Omatu, S.,
New Invariant Moments for Non-Uniformly Scaled Images,
PAA(3), No. 2, 2000, pp. 78-87.
0010
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Kan, C.[Chao],
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Invariant character recognition with Zernike and orthogonal
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PR(35), No. 1, January 2002, pp. 143-154.
WWW Version.
0111
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Chong, C.W.[Chee-Way],
Raveendran, P.,
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Translation and scale invariants of Legendre moments,
PR(37), No. 1, January 2004, pp. 119-129.
WWW Version.
0311
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Candocia, F.M.[Frank M.],
Moment relations and blur invariant conditions for finite-extent
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PRL(25), No. 4, March 2004, pp. 437-447.
WWW Version.
0402Evaluation of features.
See also Degraded Image-Analysis: An Invariant Approach.
BibRef
Mindru, F.[Florica],
Tuytelaars, T.[Tinne],
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CVIU(94), No. 1-3, April-June 2004, pp. 3-27.
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0405
BibRef
Mindru, F.,
Van Gool, L.J.,
Moons, T.,
Model estimation for photometric changes of outdoor planar color
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ICPR02(I: 620-623).
IEEE DOI may work or IEEE-CS DOI may work.
0211
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Gope, C.,
Kehtarnavaz, N.,
Hillman, G.,
Würsig, B.,
An affine invariant curve matching method for photo-identification of
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PR(38), No. 1, January 2005, pp. 125-132.
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0410
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Gope, C.,
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Affine invariant comparison of point-sets using convex hulls and
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PR(40), No. 1, January 2007, pp. 309-320.
WWW Version.
0611Affine invariant; Convex hull; Hausdorff distance;
Point-pattern comparison; Shape matching
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Kehtarnavaz, N.,
Peddigari, V.,
Chandan, C.,
Syed, W.,
Hillman, G.,
Wursig, B.,
Photo-Identification of Humpback and Gray Whales using Affine Moment
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SCIA03(109-116).
WWW Version.
0310
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Liu, J.[Jin],
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Matching and normalization of affine deformed image from regular
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PRL(25), No. 14, 15 October 2004, pp. 1619-1631.
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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 Version.
0501
BibRef
And:
Retraction:
PRL(28), No. 13, 1 October 2007, pp. 1852.
WWW Version.
0709Retracted. 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.
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Numerical experiments on the accuracy of rotation moments invariants,
IVC(23), No. 6, 1 June 2005, pp. 577-586.
WWW Version.
0505
BibRef
Liu, J.[Jin],
Zhang, T.X.[Tian-Xu],
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PRL(26), No. 8, June 2005, pp. 1128-1138.
WWW Version.
0506
BibRef
Ghorbel, F.,
Derrode, S.,
Mezhoud, R.,
Bannour, T.,
Dhahbi, S.,
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extracted from complex moments,
PRL(27), No. 12, September 2006, pp. 1361-1369.
WWW Version.
0606Complex moments; Reconstruction; Similarity invariants
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Cerjan, C.[Charles],
Zernike-Bessel representation and its application to Hankel transforms,
JOSA-A(24), No. 6, June 2007, pp. 1609-1616.
WWW Version.
0801
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Liu, H.M.[Hong-Mei],
Rui, W.[Wei],
Huang, J.W.[Ji-Wu],
Binary Image Authentication using Zernike Moments,
ICIP07(I: 385-388).
IEEE DOI may work or IEEE-CS DOI may work.
0709
BibRef
Lange, M.[Mikhail],
Ganebnykh, S.[Sergey],
Lange, A.[Andrey],
Moment-Based Pattern Representation Using Shape and Grayscale Features,
IbPRIA07(I: 523-530).
WWW Version.
0706
BibRef
Rahtu, E.[Esa],
Salo, M.[Mikko],
Heikkil, J.[Janne],
Flusser, J.[Jan],
Generalized affine moment invariants for object recogn,
ICPR06(II: 634-637).
WWW Version.
0609
BibRef
Maaoui, C.,
Laurent, H.,
Rosenberger, C.,
2D Color Shape Recognition Using Zernike Moments,
ICIP05(III: 976-979).
IEEE DOI may work or IEEE-CS DOI may work.
0512
BibRef
Ruberto, C.,
Morgera, A.,
A Comparison of 2-D Moment-Based Description Techniques,
CIAP05(212-219).
WWW Version.
0509
BibRef
Martinez, J.,
Thomas, F.,
On the reconstruction of an image from its moments,
ICIP03(I: 217-220).
IEEE Abstract. IEEE Top Reference.
0312
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Poupon, F.[Fabrice],
Mangin, J.F.[Jean-Francois],
Frouin, V.[Vincent], and
Magnin, I.[Isabelle],
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SCIA97(xx-yy)
9705
HTML Version.
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Horikawa, Y.,
Pattern Recognition with Invariance to Similarity Transformations Based
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ICPR96(II: 200-204).
IEEE DOI may work or IEEE-CS DOI may work.
9608(Australian National Univ., AUS)
BibRef
Burns, J.B.[J. Brian],
Recognition via Consensus of Local Moments of
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CVPR96(891-898).
IEEE Abstract. IEEE Top Reference.
WWW Version.
Tracking.
BibRef
9600
Cheatham, L.,
Cassasent, D., and
Fetterly, D.,
Distortion Invariant Recognition Using a Moment Feature Space,
CVPR83(171-174).
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8300
Lucas, D.,
Moment Techniques in Picture Analysis,
CVPR83(178-187).
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8300
Lambert, G.[Georg],
Gao, H.[Hua],
Line moments and invariants for real time processing of vectorized
contour data,
CIAP95(347-352).
WWW Version.
9509
BibRef
Lambert, G.,
Noll, J.,
Discrimination Properties of Invariants Using the
Line Moments of Vectorized Contours,
ICPR96(II: 735-739).
IEEE DOI may work or IEEE-CS DOI may work.
9608(Darmstadt Univ. of Techn., D)
BibRef
Ghosal, S.,
Mehrotra, R.,
Zernike moment-based feature detectors,
ICIP94(I: 934-938).
IEEE DOI may work or IEEE-CS DOI may work.
9411
BibRef
Guo, X.[Xuan],
Three dimensional moment invariants under rigid transformation,
CAIP93(518-522).
WWW Version.
9309
BibRef
Ngan, K.N.,
Kang, S.B.,
Fuzzy quaternion approach to object recognition incorporating Zernike
moment invariants,
ICPR90(I: 288-290).
IEEE DOI may work or IEEE-CS DOI may work.
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 .