7.1.4 Fourier Descriptors, DFT, FFT Computation, Use

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 Version. 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 Version. 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 Version. 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 Version. 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 Version. BibRef 8700

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

Kiryati, N.,
Calculating Geometric Properties of Objects Represented by Fourier Coefficients,
CVPR88(641-646).
IEEE Abstract. IEEE Top Reference. 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 Abstract. IEEE Top Reference.
WWW Version. 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 Abstract. IEEE Top Reference.
WWW Version. 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 Link 9208
BibRef

Tang, Y.Y., Suen, C.Y.,
Nonlinear shape restoration by transformation models,
ICPR90(II: 14-19).
IEEE DOI Link 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 Link 8811
BibRef

Lawton, W.M.,
Multidimensional chirp algorithms for computing Fourier transforms,
IP(1), No. 3, July 1992, pp. 429-431.
IEEE DOI Link 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 Link 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 Version. 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 Link 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 Version. 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 Abstract. IEEE Top Reference.
WWW Version. 9710
BibRef
Earlier:
Lie Group Theory, Space Variant Fourier Analysis and the Exponential Chirp Transform,
CVPR96(492-498).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef
Earlier:
Geometric invariance in space-variant vision systems: The exponential chirp transform,
ICPR94(C:204-207).
IEEE DOI Link 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 Link 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., 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

Hess, C.P., Liang, Z.P.,
A Data-Consistent Linear Prediction Method for Image-Reconstruction from Finite Fourier Samples,
IJIST(7), No. 2, Summer 1996, pp. 136-140. 9607
BibRef

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.
WWW Version. 9803
BibRef

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

Bernardini, R., Cortelazzo, G.M., Mian, G.A.,
Multidimensional fast Fourier transform algorithm for signals with arbitrary symmetries,
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 Link 9411
BibRef

Ware, A.F.[Antony F.],
Fast Approximate Fourier Transforms for Irregularly Spaced Data,
SIAM_Rev(40), No. 4, 1998, pp. 838-856.
WWW Version. BibRef 9800

Lo, P.C.[Pei-Chen], Lee, Y.Y.[Yu-Yun],
Real-time implementation of the moving FFT algorithm,
SP(79), No. 3, December 1999, pp. 251-25. 0002
BibRef

Britanak, V.[Vladimir], Rao, K.R.,
The fast generalized discrete Fourier transforms: A unified approach to the discrete sinusoidal transforms computation,
SP(79), No. 2, December 1999, pp. 135-150. 0002
BibRef

Britanak, V.[Vladimir], Rao, K.R.,
A new fast algorithm for the unified forward and inverse MDCT/MDST computation,
SP(82), No. 3, 2002, pp. 433-459.
HTML Version. 0205
BibRef

Zapata, J.L.[Jaime L.], Ritter, G.X.[Gerhard X.],
Fast Fourier Transform for Hexagonal Aggregates,
JMIV(12), No. 3, June 2000, pp. 183-197.
WWW Version. 0003
BibRef

Takahashi, D.,
An extended split-radix FFT algorithm,
SPLetters(8), No. 5, May 2001, pp. 145-147.
IEEE Top Reference. 0105
BibRef

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.
WWW Version. 0108
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.
WWW Version. 0202
BibRef

Gelman, L.,
Feature Representation: Both Components of the Fourier Transform vs. Hartley Transform,
PR(35), No. 5, May 2002, pp. 1191-1192.
WWW Version. 0202
BibRef

Gelman, L.[Leonid], Sanderson, M.[Michael], Thompson, C.[Christopher],
Signal recognition: Fourier transform vs. Hartley transform,
PR(36), No. 12, December 2003, pp. 2849-2853.
WWW Version. 0310
BibRef

Gelman, L., Sanderson, M., Thompson, C.,
Signal recognition: Fourier transform vs. Cosine transform,
PRL(24), No. 15, November 2003, pp. 2823-2827.
WWW Version. 0308
BibRef

Wu, J.L.[Ja-Ling], Huang, Y.M.,
Two-variable modularized fast polynomial transform algorithm for 2-D discrete Fourier transforms,
CirSysVideo(2), No. 1, March 1992, pp. 84-87.
IEEE Top Reference. 0206
BibRef

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.
WWW Version. 0210
BibRef

Chan, S.C., Yiu, P.M.,
An efficient multiplierless approximation of the fast Fourier transform using sum-of-powers-of-two (SOPOT) coefficients,
SPLetters(9), No. 10, October 2002, pp. 322-325.
IEEE Top Reference. 0211
BibRef

Djurovic, I.[Igor], Stankovic, L.[LJubisa],
Adaptive windowed Fourier transform,
SP(83), No. 1, January 2003, pp. 91-100.
HTML Version. 0211
BibRef

Lee, T.C.M.[Thomas C.M.], Wong, T.F.[Tan F.],
Nonparametric log spectrum estimation using disconnected regression splines and genetic algorithms,
SP(83), No. 1, January 2003, pp. 79-90.
HTML Version. 0211
BibRef

Ferreira, P.J.S.G., Vieira, J.M.N.,
Stable DFT codes and frames,
SPLetters(10), No. 2, February 2003, pp. 50-53.
IEEE Top Reference. 0301
BibRef

Hossen, A.[Abdulnasir], Heute, U.[Ulrich], Seraji, G.[Gohlamali],
Arithmetic errors in the sub-band FFT: derivation of error equations and simulation results,
SP(83), No. 2, February 2003, pp. 413-429.
WWW Version. 0304
BibRef

Dapena, A., Servière, C., Castedo, L.,
Inversion of the sliding Fourier transform using only two frequency bins and its application to source separation,
SP(83), No. 2, February 2003, pp. 453-457.
WWW Version. 0304
BibRef

Capus, C., Brown, K.,
Fractional Fourier transform of the Gaussian and fractional domain signal support,
VISP(150), No. 2, April 2003, pp. 99-106.
IEEE Abstract. IEEE Top Reference. 0307
BibRef

Pei, S.C., Chen, W.Y.,
Split Vector-Radix-2/8 2-D Fast Fourier Transform,
SPLetters(11), No. 5, may 2004, pp. 459-462.
IEEE Abstract. IEEE Top Reference. 0404
BibRef

MacLeod, M.D.[Malcolm D.],
Multiplierless Winograd and Prime Factor FFT Implementation,
SPLetters(11), No. 9, September 2004, pp. 740-743.
IEEE Abstract. IEEE Top Reference. 0409
BibRef

MacLeod, M.D.[Malcolm D.],
Multiplierless Implementation of Rotators and FFTs,
JASP(2005), No. 17, 2005, pp. 2903-2910.
WWW Version. 0603
BibRef

Yang, X.P.[Xing-Peng], Tan, Q.F.[Qiao-Feng], Wei, X.F.[Xiao-Feng], Xiang, Y.[Yong], Yan, Y.[Yingbai], Jin, G.[Guofan],
Improved fast fractional-Fourier-transform algorithm,
JOSA-A(21), No. 9, September 2004, pp. 1677-1681.
WWW Version. 0409
BibRef

Guizar Sicairos, M.[Manuel], Gutiérrez Vega, J.C.[Julio C.],
Two-dimensional Fourier transform of scaled Dirac delta curves,
JOSA-A(21), No. 9, September 2004, pp. 1682-1688.
WWW Version. 0409
BibRef

Djurovic, I., Stankovic, L.,
Moments of Multidimensional Polynomial FT,
SPLetters(11), No. 11, November 2004, pp. 879-882.
IEEE Abstract. IEEE Top Reference. 0411
BibRef

Brown, R.A., Zhu, H., Mitchell, J.R.,
Distributed Vector Processing of a New Local MultiScale Fourier Transform for Medical Imaging Applications,
MedImg(24), No. 5, May 2005, pp. 689-691.
IEEE Abstract. IEEE Top Reference. 0505
BibRef

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.
WWW Version. 0510
See also Novel FPGA Implementations of Walsh-Hadamard Transforms for Signal Processing. BibRef

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.
WWW Version. 0512
BibRef
Earlier:
Multiscale fourier descriptor for shape-based image retrieval,
ICPR04(II: 765-768).
IEEE DOI Link 0409
BibRef
Earlier:
Multiscale fourier descriptor for shape classification,
CIAP03(536-541).
IEEE Abstract. IEEE Top Reference. 0310
BibRef

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 Link 0608
BibRef
Earlier:
Color Fourier Descriptor for Defect Image Retrieval,
CIAP05(415-422).
Springer DOI Link 0509
BibRef

Kunttu, I.[Iivari], Lepistö, L.[Leena],
Shape-based retrieval of industrial surface defects using angular radius Fourier descriptor,
IET-IPR(1), No. 2, June 2007, pp. 231-236.
WWW Version. 0905
BibRef

Kunttu, I.[Iivari], Lepistö, L.[Leena], Visa, A.[Ari],
Enhanced Fourier Shape Descriptor Using Zero-Padding,
SCIA05(892-900).
Springer DOI Link 0506
BibRef

Djurovic, I., Lukin, V.V.,
Robust DFT With High Breakdown Point for Complex-Valued Impulse Noise Environment,
SPLetters(13), No. 1, January 2006, pp. 25-28.
IEEE DOI Link 0601
BibRef

Pei, S.C.[Soo-Chang], Hsue, W.L.,
The Multiple-Parameter Discrete Fractional Fourier Transform,
SPLetters(13), No. 6, June 2006, pp. 329-332.
IEEE DOI Link 0606
BibRef

Pei, S.C., Hsue, W.L.,
Random Discrete Fractional Fourier Transform,
SPLetters(16), No. 12, December 2009, pp. 1015-1018.
IEEE DOI Link 0909
BibRef

Meher, P.K.,
Highly Concurrent Reduced-Complexity 2-D Systolic Array for Discrete Fourier Transform,
SPLetters(13), No. 8, August 2006, pp. 481-484.
IEEE DOI Link 0606
BibRef

Meher, P.K.,
Systolic Designs for DCT Using a Low-Complexity Concurrent Convolutional Formulation,
CirSysVideo(16), No. 9, September 2006, pp. 1041-1050.
IEEE DOI Link 0610
BibRef

Meher, P.K.,
Parallel and Pipelined Architectures for Cyclic Convolution by Block Circulant Formulation Using Low-Complexity Short-Length Algorithms,
CirSysVideo(18), No. 10, October 2008, pp. 1422-1431.
IEEE DOI Link 0811
BibRef

Loughlin, P.J.,
Time-Varying Spectral Approximation of Filtered Signals,
SPLetters(13), No. 10, October 2006, pp. 604-607.
IEEE DOI Link 0609
BibRef

Grigoryan, A.M.[Artyom M.],
Representation of the Fourier Transform by Fourier Series,
JMIV(25), No. 1, July 2006, pp. 87-105.
Springer DOI Link 0610
BibRef

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.
WWW Version. 0610
BibRef

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.
WWW Version. 0610
Lensless security system. BibRef

Sangwine, S.J.,
The problem of defining the Fourier transform of a colour image,
ICIP98(I: 171-175).
IEEE DOI Link 9810
BibRef

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 Version. 0705
BibRef

Jones, K.J.,
Design and parallel computation of regularised fast Hartley transform,
VISP(153), No. 1, February 2006, pp. 70-78.
WWW Version. 0602
BibRef

Sung, T.Y.,
Memory-efficient and high-speed split-radix FFT/IFFT processor based on pipelined CORDIC rotations,
VISP(153), No. 4, August 2006, pp. 405-410.
WWW Version. 0705
BibRef

Brackx, F.[Fred], de Schepper, N.[Nele], Sommen, F.[Frank],
The Two-Dimensional Clifford-Fourier Transform,
JMIV(26), No. 1-2, November 2006, pp. 5-18.
Springer DOI Link 0701
BibRef

Liu, J., Liu, X.,
Eigenvector-Based N-D Frequency Estimation From Sample Covariance Matrix,
SPLetters(14), No. 3, March 2007, pp. 209-212.
IEEE DOI Link 0703
The proposed algorithm achieves automatic frequency pairing without using joint diagonalization. BibRef

Krakovsky, V.Y.[Vladimir Y.],
Moving-window discrete Fourier transform,
RealTimeIP(1), No. 2, December 2006, pp. 153-161.
Springer DOI Link 0001
BibRef

Sheridan, P.[Phil],
A Method to Perform a Fast Fourier Transform With Primitive Image Transformations,
IP(16), No. 5, May 2007, pp. 1355-1369.
IEEE DOI Link 0704
BibRef

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,
IP(16), No. 5, May 2007, pp. 1395-1411.
IEEE DOI Link 0704
BibRef

Vince, A.[Andrew], Zheng, X.Q.A.[Xi-Qi-Ang],
Computing the Discrete Fourier Transform on a Hexagonal Lattice,
JMIV(28), No. 2, June 2007, pp. 125-133.
Springer DOI Link 0710
BibRef

Yan, S., Xu, L., Anazawa, Y.,
A Two-Stage Approach to the Establishment of State-Space Formulation of 2-D Frequency Transformation,
SPLetters(14), No. 12, December 2007, pp. 960-963.
IEEE DOI Link 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 Link 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 Link 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 Version. 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 Link 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 Version. 0810
BibRef
And:
Aspects of binary image reconstruction from Fourier amplitude data,
IVCNZ08(1-6).
IEEE DOI Link 0811
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Lo, V.L., Millane, R.P., Kingston, R.L.,
Reconstruction of Macromolecular Envelopes from Crystal X-Ray Diffraction Amplitudes,
ICIP08(2992-2995).
IEEE DOI Link 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 Link 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 Link 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. To purchase this book look here 0905
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Hirabayashi, A.,
Consistent Sampling and Efficient Signal Reconstruction,
SPLetters(16), No. 12, December 2009, pp. 1023-1026.
IEEE DOI Link 0909
DFT based coefficients. BibRef

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 Link 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 Link 0610
Computation techniques. Fourier and Hough. BibRef

Gluckman, J.M.[Joshua M.],
Higher Order Whitening of Natural Images,
CVPR05(II: 354-360).
IEEE DOI Link 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 Abstract. IEEE Top Reference. 0312
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Chaker, F., Ghorbel, F.,
Application of affine invariant Fourier descriptors to stereo matching,
ICIP03(I: 389-392).
IEEE Abstract. IEEE Top Reference. 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 Abstract. IEEE Top Reference. 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 Link 0211
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Beaudoin, N., Beauchemin, S.S.,
An accurate discrete Fourier transform for image processing,
ICPR02(III: 935-939).
IEEE DOI Link 0211
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Michael, G., Porat, M.,
Image Reconstruction from Localized Fourier Magnitude,
ICIP01(I: 213-216).
IEEE Abstract. IEEE Top Reference. 0108
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Pattichis, M., Zhou, R., Raman, B.,
New Algorithms for Computing Directional Discrete Fourier Transforms,
ICIP01(III: 322-325).
IEEE Abstract. IEEE Top Reference. 0108
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Felsberg, M.[Michael], Sommer, G.[Gerald],
Optimized Fast Algorithms for the Quaternionic Fourier Transform,
CAIP99(209-216).
WWW Version. 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 Link 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 Link BibRef 9600

Chernov, V.M.[Vladimir M.],
Vector Radix FFT with Splitting the Radix of Fractional Order,
SCIA97(xx-yy) 9705

HTML Version. BibRef
Earlier:
A Metric Unified Treatment of Two-Dimensional FFT,
ICPR96(II: 662-669).
IEEE DOI Link 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).
WWW Version. 9709
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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 Link 9509
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Nikolova, M.,
Markovian reconstruction in computed imaging and Fourier synthesis,
ICIP94(II: 690-694).
IEEE DOI Link 9411
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Elbaz, M., Abraham, Z., Rubinstein, J., Zeevi, Y.,
Signal and image reconstruction from partial Fourier phase,
ICPR94(C:82-87).
IEEE DOI Link 9410
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Ruetz, P.A., Cai, M.M.,
A real time FFT chip set: architectural issues,
ICPR90(II: 385-388 vol 2).
IEEE DOI Link 9208
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Abidi, M.A., Gonzalez, R.C.,
Harmonic Shape Decomposition,
ICPR86(419-423). BibRef 8600

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 .