7.1.4 Fourier Descriptors, DFT, FFT Computation, Use

Chapter Contents (Back)
Fourier Transform. Fourier Descriptors. See also Matching Fourier Descriptors, Fourier Shape Descriptors.

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, P., Giardina, C.,
Elliptic Fourier Features of a Closed Contour,
CGIP(18), No. 3, March 1982, pp. 236-258.
WWW Version. BibRef 8203

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).
WWW Version. 9208 BibRef

Tang, Y.Y., Suen, C.Y.,
Nonlinear shape restoration by transformation models,
ICPR90(II: 14-19).
WWW Version. 9208 BibRef

Li, Z.C., Bui, T.D., Suen, C.Y., Tang, Y.Y.,
Nonlinear transformations of digitized patterns,
ICPR88(I: 134-136).
WWW Version. 8811 BibRef

Lawton, W.M.,
Multidimensional chirp algorithms for computing Fourier transforms,
IP(1), No. 3, July 1992, pp. 429-431.
WWW Version. 0402 BibRef

Tabei, M., Ueda, M.,
Backprojection by upsampled Fourier series expansion and interpolated FFT,
IP(1), No. 1, January 1992, pp. 77-87.
WWW Version. 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. 0001Fourier 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.
WWW Version. 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

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).
WWW Version. 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.
WWW Version. 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).
WWW Version. 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.
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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., Servičre, 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).
WWW Version. 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.
WWW Version. 0608 BibRef
Earlier:
Color Fourier Descriptor for Defect Image Retrieval,
CIAP05(415-422).
WWW Version. 0509 BibRef

Kunttu, I.[Iivari], Lepistö, L.[Leena], Visa, A.[Ari],
Enhanced Fourier Shape Descriptor Using Zero-Padding,
SCIA05(892-900).
WWW Version. 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.
WWW Version. 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.
WWW Version. 0606 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.
WWW Version. 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.
WWW Version. 0610 BibRef

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

Grigoryan, A.M.[Artyom M.],
Representation of the Fourier Transform by Fourier Series,
JMIV(25), No. 1, July 2006, pp. 87-105.
WWW Version. 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. 0610Lensless security system. BibRef

Sangwine, S.J.,
The problem of defining the Fourier transform of a colour image,
ICIP98(I: 171-175).
WWW Version. 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

Yip, R.K.K.[Raymond K.K.],
Genetic Fourier descriptor for the detection of rotational symmetry,
IVC(25), No. 2, February 2007, pp. 148-154.
WWW Version. 0701Genetic algorithm; Fourier descriptors; Rotational symmetry detection 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.
WWW Version. 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.
WWW Version. 0703The 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.
WWW Version. 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.
WWW Version. 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.
WWW Version. 0704 BibRef

Vince, A.[Andrew], Zheng, X.Q.[Xi-Qiang],
Computing the Discrete Fourier Transform on a Hexagonal Lattice,
JMIV(28), No. 2, June 2007, pp. 125-133.
WWW Version. 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.
WWW Version. 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.
WWW Version. 0802 BibRef

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.
WWW Version. 0804 BibRef

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 BibRef

Lee, J., Lee, S.Y.,
Robust Fundamental Frequency Estimation Combining Contrast Enhancement and Feature Unbiasing,
SPLetters(15), No. 1, 2008, pp. 521-524.
WWW Version. 0806 BibRef


Gluckman, J.[Joshua],
Higher Order Whitening of Natural Images,
CVPR05(II: 354-360).
WWW Version. 0507Process 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 BibRef

Chaker, F., Ghorbel, F.,
Application of affine invariant Fourier descriptors to stereo matching,
ICIP03(I: 389-392).
IEEE Abstract. IEEE Top Reference. 0312 BibRef

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 BibRef

Sijbers, J., van Dyck, D.,
Efficient algorithm for the computation of 3D Fourier descriptors,
3DPVT02(640-643). 0206 BibRef

Sijbers, J., Ceulemans, T., van Dyck, D.,
Algorithm for the computation of 3D fourier descriptors,
ICPR02(II: 790-793).
WWW Version. 0211 BibRef

Beaudoin, N., Beauchemin, S.S.,
An accurate discrete Fourier transform for image processing,
ICPR02(III: 935-939).
WWW Version. 0211 BibRef

Michael, G., Porat, M.,
Image Reconstruction from Localized Fourier Magnitude,
ICIP01(I: 213-216).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Pattichis, M., Zhou, R., Raman, B.,
New Algorithms for Computing Directional Discrete Fourier Transforms,
ICIP01(III: 322-325).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Felsberg, M.[Michael], Sommer, G.[Gerald],
Optimized Fast Algorithms for the Quaternionic Fourier Transform,
CAIP99(209-216).
WWW Version. 9909 BibRef

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).
WWW Version. 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).
WWW Version. 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).
WWW Version. 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 BibRef

Maki, A.[Atsuto], Bretzner, L.[Lars], Eklundh, J.O.[Jan-Olof],
Local Fourier phase and disparity estimates: An analytical study,
CAIP95(868-873).
WWW Version. 9509 BibRef

Nikolova, M.,
Markovian reconstruction in computed imaging and Fourier synthesis,
ICIP94(II: 690-694).
WWW Version. 9411 BibRef

Elbaz, M., Abraham, Z., Rubinstein, J., Zeevi, Y.,
Signal and image reconstruction from partial Fourier phase,
ICPR94(C:82-87).
WWW Version. 9410 BibRef

Ruetz, P.A., Cai, M.M.,
A real time FFT chip set: architectural issues,
ICPR90(II: 385-388 vol 2).
WWW Version. 9208 BibRef

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 .


Last update:Jun 25, 2008 at 13:37:57