12.3.1.8 Fourier Moments, Use, Computation

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

Lai, S.H.[Shang-Hong],
Robust Image Matching under Partial Occlusion and Spatially Varying Illumination Change,
CVIU(78), No. 1, April 2000, pp. 84-98.
DOI Link 0004
BibRef

Lai, S.H.[Shang-Hong], Fang, M.[Ming],
Robust and Efficient Image Alignment with Spatially-Varying Illumination Models,
CVPR99(II: 167-172).
IEEE DOI Alignment when intensity (lighting) changes between views. BibRef 9900

Wei, S.D.[Shou-Der], Lai, S.H.[Shang-Hong],
Robust and Efficient Image Alignment Based on Relative Gradient Matching,
IP(15), No. 10, October 2006, pp. 2936-2943.
IEEE DOI 0609
BibRef
Earlier:
Robust face recognition under lighting variations,
ICPR04(I: 354-357).
IEEE DOI 0409
BibRef
Earlier: A2, A1:
Reliable image matching based on relative gradients,
ICPR02(II: 802-805).
IEEE DOI 0211

See also Computation of optical flow under non-uniform brightness variations. BibRef

Su, H.R.[Hong-Ren], Lai, S.H.[Shang-Hong],
CT-MR Image Registration in 3D K-Space Based on Fourier Moment Matching,
PSIVT11(II: 299-310).
Springer DOI 1111
BibRef

Su, H.R.[Hong-Ren], Kuo, H.Y.[Hao-Yuan], Lai, S.H.[Shang-Hong], Wu, C.C.[Chin-Chia],
Fast 3D Object Alignment from Depth Image with 3D Fourier Moment Matching on GPU,
3DV14(179-186)
IEEE DOI 1503
Fourier transforms BibRef

Su, H.R.[Hong-Ren], Lai, S.H.[Shang-Hong], Tsai, Y.H.[Ya-Hui],
Robust Fourier-Based Image Alignment with Gradient Complex Image,
ICPR10(2378-2381).
IEEE DOI 1008
BibRef

Hsieh, C.K., Lai, S.H.[Shang-Hong], Chen, Y.C.,
An Optical Flow-Based Approach to Robust Face Recognition Under Expression Variations,
IP(19), No. 1, January 2010, pp. 233-240.
IEEE DOI 1001
BibRef

Pan, W.H.[Wei-Hau], Wei, S.D.[Shou-Der], Lai, S.H.[Shang-Hong],
Efficient NCC-Based Image Matching in Walsh-Hadamard Domain,
ECCV08(III: 468-480).
Springer DOI 0810
BibRef

Yang, C.H.T.[Chyuan-Huei Thomas], Lai, S.H.[Shang-Hong], Chang, L.W.[Long-Wen],
Hybrid image matching combining Hausdorff distance with normalized gradient matching,
PR(40), No. 4, April 2007, pp. 1173-1181.
Elsevier DOI 0701
Image matching; Illumination variation; Face recognition; Hausdorff distance; Normalized gradient BibRef

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.
Elsevier DOI 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

Xiao, B.[Bin], Ma, J.F.[Jian-Feng], Wang, X.[Xuan],
Image analysis by Bessel-Fourier moments,
PR(43), No. 8, August 2010, pp. 2620-2629.
Elsevier DOI 1006
Bessel function; Orthogonal moments; Images reconstruction; Image recognition; Invariant moments BibRef

Hoang, T.V.[Thai V.], Tabbone, S.[Salvatore],
Errata and comments on 'Generic orthogonal moments: Jacobi-Fourier moments for invariant image description',
PR(46), No. 11, November 2013, pp. 3148-3155.
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

Upneja, R.[Rahul], Singh, C.[Chandan],
Fast computation of Jacobi-Fourier moments for invariant image recognition,
PR(48), No. 5, 2015, pp. 1836-1843.
Elsevier DOI 1502
Jacobi-Fourier moments
See also Comments on 'fast computation of jacobi-Fourier moments for invariant image recognition'. BibRef

Sáez-Landete, J.[José],
Comments on 'fast computation of jacobi-Fourier moments for invariant image recognition',
PR(67), No. 1, 2017, pp. 16-22.
Elsevier DOI 1704
Jacobi polynomials
See also Fast computation of Jacobi-Fourier moments for invariant image recognition. BibRef

Camacho-Bello, C., Toxqui-Quitl, C., Padilla-Vivanco, A., Baez-Rojas, J.J.,
High-precision and fast computation of Jacobi-Fourier moments for image description,
JOSA-A(31), No. 1, January 2014, pp. 124-134.
DOI Link 1402
Image processing BibRef

Hu, H.T.[Hai-Tao], Zhang, Y.D.[Ya-Dong], Shao, C.[Chao], Ju, Q.[Quan],
Orthogonal moments based on exponent functions: Exponent-Fourier moments,
PR(47), No. 8, 2014, pp. 2596-2606.
Elsevier DOI 1405
BibRef
And: A1, A4, A3, Only: Errata and Comments:
Errata and comments on 'Errata and comments on Orthogonal moments based on exponent functions: Exponent-Fourier moments',
PR(52), No. 1, 2016, pp. 471-476.
Elsevier DOI 1601
Exponent-Fourier moments Orthogonal moments BibRef

Xiao, B.[Bin], Li, W.S.[Wei-Sheng], Wang, G.Y.[Guo-Yin],
Errata and comments on 'Orthogonal moments based on exponent functions: Exponent-Fourier moments',
PR(48), No. 4, 2015, pp. 1571-1573.
Elsevier DOI 1502
Orthogonal moments. Comments:
See also Orthogonal moments based on exponent functions: Exponent-Fourier moments. 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],
Quaternion Bessel-Fourier moments and their invariant descriptors for object reconstruction and recognition,
PR(47), No. 2, 2014, pp. 603-611.
Elsevier DOI 1311
Quaternion Bessel-Fourier moment BibRef

Wang, T.S.[Tian-Sheng], Liao, S.[Simon],
Computational aspects of exponent-Fourier moments,
PRL(84), No. 1, 2016, pp. 35-42.
Elsevier DOI 1612
Orthogonal Exponent-Fourier moments BibRef

Zhu, H.Q.[Hong-Qing], Yang, Y.[Yan], Gui, Z.G.[Zhi-Guo], Zhu, Y.[Yu], Chen, Z.H.[Zhi-Hua],
Image analysis by generalized Chebyshev-Fourier and generalized pseudo-Jacobi-Fourier moments,
PR(51), No. 1, 2016, pp. 1-11.
Elsevier DOI 1601
Generalized radial polynomial BibRef

Camacho-Bello, C.,
Exact Legendre-Fourier moments in improved polar pixels configuration for image analysis,
IET-IPR(13), No. 1, January 2019, pp. 118-124.
DOI Link 1812
BibRef

Hosny, K.M.[Khalid M], Darwish, M.M.[Mohamed M], Aboelenen, T.[Tarek],
New fractional-order Legendre-Fourier moments for pattern recognition applications,
PR(103), 2020, pp. 107324.
Elsevier DOI 2005
Color image descriptors, Pattern recognition, Rotation invariance, Fractional-order moments, Legendre-Fourier moments BibRef

He, B.[Bing], Cui, J.T.[Jiang-Tao], Peng, Y.[Yanguo], Yang, T.F.[Teng-Fei],
Image analysis by fast improved radial harmonic-Fourier moments algorithm,
IJIST(30), No. 4, 2020, pp. 1033-1045.
DOI Link 2011
computation complexity, image reconstruction, numerical instability, radial harmonic-Fourier moments BibRef

Wang, C., Wang, X., Xia, Z., Ma, B., Shi, Y.Q.,
Image Description With Polar Harmonic Fourier Moments,
CirSysVideo(30), No. 12, December 2020, pp. 4440-4452.
IEEE DOI 2012
Image reconstruction, Harmonic analysis, Object recognition, Image recognition, Kernel, Market research, BibRef

Yang, H.Y.[Hong-Ying], Qi, S.[Shuren], Tian, J.L.[Jia-Lin], Niu, P.P.[Pan-Pan], Wang, X.Y.[Xiang-Yang],
Robust and discriminative image representation: Fractional-Order Jacobi-Fourier moments,
PR(115), 2021, pp. 107898.
Elsevier DOI 2104
Image representation, Fractional, Jacobi-Fourier moments, Robustness, Discriminability BibRef


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


Last update:May 10, 2021 at 18:51:10