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


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


Last update:Jan 14, 2021 at 15:31:42