Wallace, T.P.[Timothy P.],
Wintz, P.A.[Paul A.],
An Efficient Three-Dimensional Aircraft Recognition Algorithm
Using Normalized Fourier Descriptors,
CGIP(13), No. 2, June 1980, pp. 99-126.
Elsevier DOI
0501
BibRef
Earlier:
3-Dimensional Aircraft Recognition Using Fourier Descriptors,
DARPAO77(55-63).
Recognize Aircraft.
Fourier Descriptors. The basic Fourier contour recognition paper.
BibRef
Wallace, T.P.[Timothy P.],
Wintz, P.A.[Paul A.],
Shape Information Extraction,
In Purdue Report for November 1976- January 1977.
PurdueTR-77-16, March 1977.
Fourier Descriptors. Fourier descriptor; averaging.
Fourier descriptors and inverting gives an average object; try it for 3-D views
so that only a few need to be stored; the BLOB program returns to generate the
contours.
BibRef
7703
Wallace, T.P., and
Mitchell, O.R.,
Analysis of Two-Dimensional Movement Using Fourier Descriptors,
PAMI(2), No. 6, November 1980, pp. 583-588.
Tracking. Builds the convex hull of a model of a contour.
BibRef
8011
Wallace, T.P.,
Mitchell, O.R., and
Fukunaga, K.,
Three-Dimensional Shape Analysis Using Local Shape Descriptions,
PAMI(3), No. 3, May 1981, pp. 310-323.
BibRef
8105
Earlier:
Three-Dimensional Shape Analysis Using Local Shape Descriptors,
PRIP79(292-299).
BibRef
Wallace, T.P.,
Wintz, P.A., and
Mitchell, O.R.,
Advances in Shape Description with Application to Three-Dimensional
Aircraft Recognition,
DARPAN78(37-47).
BibRef
7800
Yoo, M.Y., and
Huang, T.S.,
Pattern Recognition by Fourier Shape Descriptor,
In Purdue Report for November 1976- January 1977.
PurdueTR-77-16, March 1977.
Properties of Fourier domain parts and combinations.
BibRef
7703
Persoon, E., and
Fu, K.S.,
Shape Discrimination Using Fourier Descriptors,
SMC(7), No. 3, March 1977, pp. 170-179.
BibRef
7703
And:
Reprinted:
PAMI(8), No. 3, May 1986, pp. 388-397.
BibRef
Earlier:
ICPR74(126-130).
Code, Fourier.
HTML Version.
BibRef
Crimmins, T.R.,
A Complete Set of Fourier Descriptors for Two-Dimensional Shapes,
SMC(12), 1982, pp. 848-855.
BibRef
8200
Mitchell, O.R., and
Grogan, T.,
Global and Partial Shape Discrimination for Computer Vision,
OptEng(23), No. 5, September 1984, pp. 484-491.
Fourier Descriptors. Discussion of curvature functions for contour descriptions
invariant under translation and rotation.
BibRef
8409
Sato, Y., and
Honda, I.,
Pseudodistance Measures for Recognition of Curved Objects,
PAMI(5), No. 4, July 1983, pp. 362-373.
3-D object as a set of slices, Fourier descriptor of the contour
of the slices.
BibRef
8307
Lam, K.P.,
Contour Map Registration Using Fourier Descriptors of Gradient Codes,
PAMI(7), No. 3, May 1985, pp. 332-338.
BibRef
8505
Etesamif, F.[Faryar],
Uicker, Jr., J.J.[John J.],
Automatic Dimensional Inspection of Machine Part Cross-Section
Using Fourier Analysis,
CVGIP(29), No. 2, February 1985, pp. 216-247.
Elsevier DOI
BibRef
8502
Paquet, E.,
Rioux, M.,
Arsenault, H.H.,
Invariant Pattern-Recognition for Range Images Using the
Phase Fourier-Transform and a Neural-Network,
OptEng(34), No. 4, April 1995, pp. 1178-1183.
BibRef
9504
Sheng, A.Y.,
Lejeune, C., and
Arsenault, H.H.,
Frequency-Domain Fourier-Mellin Descriptors for
Invariant Pattern Recognition,
OptEng(27), No. 5, 1988, pp. 354-357.
BibRef
8800
Sheng, A.Y., and
Arsenault, H.H.,
Experiments on Pattern Recognition Using
Invariant Fourier-Mellin Descriptors,
JOSA-A(3), No. 6, June 1986, pp. 771-776.
BibRef
8606
Sheng, Y., and
Arsenault, H.H.,
Noisy-Image Normalization Using Low-Order Radial Moments
of Circular Harmonic Functions,
JOSA-A(4), No. 7, July 1987, pp. 1176-1184.
BibRef
8707
Hsu, Y.N.,
Arsenault, H.H., and
April, G.,
Rotation-Invariant Digital Pattern Recognition
Using Circular Harmonic Expansion,
AppOpt(21), No. 22, 1982, pp. 4012-4015.
BibRef
8200
Hsu, Y.N., and
Arsenault, H.H., and
Optical Pattern Recognition Using Circular Harmonic Expansion,
AppOpt(21), No. 22, 1982, pp. 4016-4019.
BibRef
8200
Lin, C.C., and
Chellappa, R.,
Classification of Partial 2-D Shapes Using Fourier Descriptors,
PAMI(9), No. 5, September 1987, pp. 686-690.
BibRef
8709
Earlier:
CVPR86(344-350).
Fourier Descriptors. Shows that Fourier descriptors do not totally lose when pieces are
missing, occlusions are ignored though.
BibRef
Arbter, K.,
Snyder, W.E.,
Burkhardt, H., and
Hirzinger, G.,
Application of Affine-Invariant Fourier Descriptors to
Recognition of 3-D Objects,
PAMI(12), No. 7, July 1990, pp. 640-647.
IEEE DOI
Fourier Descriptors.
BibRef
9007
Wang, Y.F.,
Magee, M.J., and
Aggarwal, J.K.,
Matching Three-Dimensional Objects Using Silhouettes,
PAMI(6), No. 4, July 1984, pp. 513-518.
Fourier Descriptors. An initial set of silhouettes are used to generate a 3-D model of
the object. From this 3 principal silhouettes are derived. The
sequence of inputs is also used to generate a 3-D structure
(
See also Geometric Modeling for Computer Vision. )
and this is used for the matching. When the
results are stable the match is known. This paper is a source for
references to Fourier descriptor based matching references.
BibRef
8407
Krzyzak, A.,
Leung, S.Y.,
Suen, C.Y.,
Reconstruction of Two-Dimensional Patterns from Fourier Descriptors,
MVA(2), 1989, pp. 123-140.
BibRef
8900
Earlier:
ICPR88(I: 555-558).
IEEE DOI
8811
BibRef
Wang, S.S.[Shuenn-Shyang],
Chen, P.C.[Po-Cheng],
Lin, W.G.[Wen-Gou],
Invariant Pattern-Recognition by Moment Fourier Descriptor,
PR(27), No. 12, December 1994, pp. 1735-1742.
Elsevier DOI moment Fourier. Complex objects of closed regions.
BibRef
9412
Kauppinen, H.,
Seppanen, T.,
Pietikainen, M.,
An Experimental Comparison of Autoregressive and
Fourier-Based Descriptors in 2D Shape Classification,
PAMI(17), No. 2, February 1995, pp. 201-207.
IEEE DOI
BibRef
9502
Weng, J.,
Image Matching Using the Windowed Fourier Phase,
IJCV(11), No. 3, December 1993, pp. 211-236.
Springer DOI
BibRef
9312
Weng, J.,
A Theory of Image Matching,
ICCV90(200-209).
IEEE DOI
BibRef
9000
Cesar Junior, R.M.[Roberto Marcondes],
da Fontoura Costa, L.[Luciano],
Towards Effective Planar Shape Representation with Multiscale
Digital Curvature Analysis Based on Signal-processing Techniques,
PR(29), No. 9, September 1996, pp. 1559-1569.
Elsevier DOI
Digital Curvature Estimation.
Multiscale Representation.
Fourier Descriptors.
Performance Analysis. Curvature analysis. Curvegram.
BibRef
9609
Fonga, H.,
Pattern-Recognition in Gray-Level Images by Fourier-Analysis,
PRL(17), No. 14, December 30 1996, pp. 1477-1489.
9702
BibRef
Wu, M.F.,
Sheu, H.T.,
Contour-Based Correspondence Using Fourier Descriptors,
VISP(144), No. 3, June 1997, pp. 150-160.
9708
See also 3D Invariant Estimation of Axisymmetrical Objects Using Fourier Descriptors.
See also Efficient and consistent method for superellipse detection.
BibRef
Hawkins, W.G.,
Fourier-Transform Resampling: Theory and Application,
NucSci(44), No. 4, Part 1, August 1997, pp. 1543-1551.
9708
BibRef
Hawkins, W.G.[William G.],
On The Equivalence Of Stable And Unstable Forms Of The Inverse Circular
Harmonic Transform Solution For The Radon Transform,
IJIG(7), No. 1, January 2007, pp. 17-33.
0701
BibRef
Aguado, A.S.[Alberto S.],
Nixon, M.S.[Mark S.],
Montiel, M.E.[M. Eugenia],
Parameterizing Arbitrary Shapes via Fourier Descriptors
for Evidence-Gathering Extraction,
CVIU(69), No. 2, February 1998, pp. 202-221.
DOI Link
BibRef
9802
Earlier:
Extracting Arbitrary Geometric Primitives Represented by
Fourier Descriptors,
ICPR96(II: 547-551).
IEEE DOI
9608
(Univ. of Southampton, UK)
BibRef
Kim, W.Y.[Whoi-Yul],
Kim, Y.S.[Yong-Sung],
A region-based shape descriptor using Zernike moments,
SP:IC(16), No. 1-2, September 2000, pp. 95-102.
Elsevier DOI
0008
BibRef
Shao, Y.[Yuan],
Celenk, M.[Mehmet],
Higher-order spectra (HOS) invariants for shape recognition,
PR(34), No. 11, November 2001, pp. 2097-2113.
Elsevier DOI
0108
BibRef
Osowski, S.[Stanislaw],
Nghia, D.D.[Do Dinh],
Fourier and wavelet descriptors for shape recognition using neural
networksa comparative study,
PR(35), No. 9, September 2002, pp. 1949-1957.
Elsevier DOI
0206
Neurat networks. Fourier and wavelet transforms.
BibRef
Kindratenko, V.V.[Volodymyr V.],
On Using Functions to Describe the Shape,
JMIV(18), No. 3, May 2003, pp. 225-245.
DOI Link
0304
BibRef
Kindratenko, V.,
van Espen, P.,
Classification of Irregularly Shaped Micro-Objects Using
Complex Fourier Descriptors,
ICPR96(II: 285-289).
IEEE DOI
9608
(Univ. of Antwerpen, B)
BibRef
Kuthirummal, S.[Sujit],
Jawahar, C.V.,
Narayanan, P.J.,
Fourier domain representation of planar curves for recognition in
multiple views,
PR(37), No. 4, April 2004, pp. 739-754.
Elsevier DOI
0403
BibRef
And:
Constraints on Coplanar Moving Points,
ECCV04(Vol IV: 168-179).
Springer DOI
0405
BibRef
Earlier:
Planar shape recognition across multiple views,
ICPR02(I: 456-459).
IEEE DOI
0211
BibRef
Soysal, Ö.M.[Ömer M.],
Chen, J.H.[Jian-Hua],
Object recognition by spectral feature derived from canonical shape
representation,
MVA(24), No. 4, May 2013, pp. 855-868.
Springer DOI
1304
String represents polygonal shape. Spectral feature - Fourier
BibRef
Mennesson, J.[Jose],
Saint-Jean, C.[Christophe],
Mascarilla, L.[Laurent],
Color Fourier-Mellin descriptors for image recognition,
PRL(40), No. 1, 2014, pp. 27-35.
Elsevier DOI
1403
BibRef
Earlier:
New geometric fourier descriptors for color image recognition,
ICIP10(2685-2688).
IEEE DOI
1009
Object recognition
BibRef
Shu, X.[Xin],
Pan, L.[Lei],
Wu, X.J.[Xiao-Jun],
Multi-scale contour flexibility shape signature for Fourier
descriptor,
JVCIR(26), No. 1, 2015, pp. 161-167.
Elsevier DOI
1502
Shape signature
BibRef
Li, H.[Heng],
Liu, Z.W.[Zhi-Wen],
Huang, Y.[Yali],
Shi, Y.G.[Yong-Gang],
Quaternion generic Fourier descriptor for color object recognition,
PR(48), No. 12, 2015, pp. 3895-3903.
Elsevier DOI
1509
Quaternion
BibRef
Sokic, E.[Emir],
Konjicija, S.[Samim],
Phase preserving Fourier descriptor for shape-based image retrieval,
SP:IC(40), No. 1, 2016, pp. 82-96.
Elsevier DOI
1601
Content based image retrieval
BibRef
Shahhosseini, S.,
Rezaie, B.,
Pattern Matching Using Partial Fourier Spectrum,
CirSysVideo(26), No. 7, July 2016, pp. 1229-1240.
IEEE DOI
1608
Fourier analysis
BibRef
Bohi, A.[Amine],
Prandi, D.[Dario],
Guis, V.[Vincente],
Bouchara, F.[Frédéric],
Gauthier, J.P.[Jean-Paul],
Fourier Descriptors Based on the Structure of the Human Primary Visual
Cortex with Applications to Object Recognition,
JMIV(57), No. 1, January 2017, pp. 117-133.
Springer DOI
1701
BibRef
Xu, Y.Q.[Yi-Qun],
Hu, W.[Wei],
Wang, S.S.[Shan-She],
Zhang, X.F.[Xin-Feng],
Wang, S.Q.[Shi-Qi],
Ma, S.W.[Si-Wei],
Guo, Z.M.[Zong-Ming],
Gao, W.[Wen],
Predictive Generalized Graph Fourier Transform for Attribute
Compression of Dynamic Point Clouds,
CirSysVideo(31), No. 5, 2021, pp. 1968-1982.
IEEE DOI
2105
BibRef
Marin, R.[Riccardo],
Rampini, A.[Arianna],
Castellani, U.[Umberto],
Rodolà, E.[Emanuele],
Ovsjanikov, M.[Maks],
Melzi, S.[Simone],
Spectral Shape Recovery and Analysis Via Data-driven Connections,
IJCV(129), No. 10, October 2021, pp. 2745-2760.
Springer DOI
2110
BibRef
Earlier:
Instant recovery of shape from spectrum via latent space connections,
3DV20(120-129)
IEEE DOI
2102
Shape, Eigenvalues and eigenfunctions, Laplace equations, Training,
Encoding
BibRef
Melzi, S.,
Rodolà, E.,
Castellani, U.,
Bronstein, M.M.,
Shape Analysis with Anisotropic Windowed Fourier Transform,
3DV16(470-478)
IEEE DOI
1701
Fourier transforms
BibRef
Wei, F.,
Nguyen, U.T.,
Jiang, H.,
FoNet: A Memory-efficient Fourier-based Orthogonal Network for Object
Recognition,
EDLCV20(2944-2952)
IEEE DOI
2008
Spectral analysis, Memory management, Kernel, Training, Convolution,
Computational modeling
BibRef
Zhao, T.,
Blu, T.,
Detecting Curves in Very Noisy Images Using Fourier-Argand Moments,
ICIP19(3011-3015)
IEEE DOI
1910
Laminar image, directional feature, rotation covariant moments,
frequency estimation, curve detection
BibRef
Zhang, X.,
Williams, L.,
Euclidean Invariant Recognition of 2D Shapes Using Histograms of
Magnitudes of Local Fourier-Mellin Descriptors,
WACV19(303-311)
IEEE DOI
1904
convolutional neural nets, Fourier transforms, image recognition,
learning (artificial intelligence), polynomials,
Training
BibRef
Bernal, J.[Javier],
Dogan, G.[Günay],
Hagwood, C.R.[Charles R.],
Fast Dynamic Programming for Elastic Registration of Curves,
DIFF-CV16(1066-1073)
IEEE DOI
1612
BibRef
Earlier: A2, A1, A3:
FFT-based Alignment of 2D Closed Curves with Application to Elastic
Shape Analysis,
DIFF-CV15(xx-yy).
DOI Link
1601
BibRef
Cagatay, N.D.[Nazli Deniz],
Datcu, M.[Mihai],
Classification of interferometric SAR images based on parametric
modeling in the fractional fourier transform domain,
ICIP15(1364-1368)
IEEE DOI
1512
Fractional Fourier transform (FrFT)
BibRef
Mavridou, E.[Evanthia],
Crowley, J.L.[James L.],
Lux, A.[Augustin],
Multiscale Shape Description with Laplacian Profile and Fourier
Transform,
ICIAR14(I: 46-54).
Springer DOI
1410
BibRef
Cook, G.W.[Gregory W.],
Kalker, T.[Ton],
Low-complexity arbitrarily shaped transform and coefficient ordering
method based on the four-point DCT,
ICIP12(2485-2488).
IEEE DOI
1302
arbitrary shape coding based
BibRef
de Vylder, J.[Jonas],
Philips, W.[Wilfried],
2-D shape representation using improved Fourier descriptors,
ICIP09(397-400).
IEEE DOI
0911
BibRef
Mei, Y.[Ye],
Androutsos, D.[Dimitrios],
Robust affine invariant shape image retrieval using the ICA Zernike
Moment Shape Descriptor,
ICIP09(1065-1068).
IEEE DOI
0911
BibRef
Earlier:
Affine invariant shape descriptors:
The ICA-Fourier descriptor and the PCA-Fourier descriptor,
ICPR08(1-4).
IEEE DOI
0812
BibRef
Schmid, N.A.,
Bresler, Y.,
Moulin, P.,
Complexity regularized shape estimation from noisy Fourier data,
ICIP02(II: 453-456).
IEEE DOI
0210
See also Complexity-Regularized Image Denoising.
BibRef
Díaz de León, R.[Rocio],
Sucar, L.E.[Luis Enrique],
Human Silhouette Recognition with Fourier Descriptors,
ICPR00(Vol III: 709-712).
IEEE DOI
0009
BibRef
Ghorbel, F.,
Stability of invariant Fourier descriptors and its inference in the
shape classification,
ICPR92(III:130-133).
IEEE DOI
9208
BibRef
Chapter on Registration, Matching and Recognition Using Points, Lines, Regions, Areas, Surfaces continues in
Fourier Moments, Use, Computation .