Euclidean motion group representations and the singular value decomposition of the Radon transform

Can Evren Yarman; Birsen Yazici

doi:10.1080/10652460600856450

Euclidean motion group representations and the singular value decomposition of the Radon transform

Integral Transforms and Special Functions ◽

10.1080/10652460600856450 ◽

2007 ◽

Vol 18 (1) ◽

pp. 59-76 ◽

Cited By ~ 3

Author(s):

Can Evren Yarman ◽

Birsen Yazici

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Group Representations ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion ◽

Value Decomposition

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Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle

Integral Transforms and Special Functions ◽

10.1080/10652469.2020.1846035 ◽

2020 ◽

pp. 1-11

Author(s):

Gihyeon Jeon ◽

Sunghwan Moon

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Central Axis ◽

Opening Angle ◽

Value Decomposition

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A Wiener Filtering Approach over the Euclidean Motion Group for Radon Transform Inversion

10.1117/12.481372 ◽

2003 ◽

Cited By ~ 1

Author(s):

Can E. Yarman ◽

Birsen Yazici

Keyword(s):

Radon Transform ◽

Wiener Filtering ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion ◽

Filtering Approach

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An inversion method for the exponential radon transform based on the harmonic analysis of the Euclidean motion group

10.1117/12.647807 ◽

2006 ◽

Cited By ~ 1

Author(s):

Can Evren Yarman ◽

Birsen Yazıcı

Keyword(s):

Harmonic Analysis ◽

Radon Transform ◽

Inversion Method ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion ◽

Exponential Radon Transform

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On a singular value decomposition of the normal Radon transform operator acting on 3D 2-tensor fields

Journal of Physics Conference Series ◽

10.1088/1742-6596/1715/1/012041 ◽

2021 ◽

Vol 1715 ◽

pp. 012041

Author(s):

A P Polyakova ◽

I E Svetov

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Tensor Fields ◽

Value Decomposition

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Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields

Sibirskie Elektronnye Matematicheskie Izvestiya ◽

10.33048/semi.2021.18.117 ◽

2021 ◽

Vol 18 (2) ◽

pp. 1572-1595

Author(s):

A. P. Polyakova

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Tensor Fields ◽

Value Decomposition

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On the security of a hybrid watermarking algorithm based on singular value decomposition and Radon transform

AEU - International Journal of Electronics and Communications ◽

10.1016/j.aeue.2011.06.008 ◽

2011 ◽

Vol 65 (11) ◽

pp. 958-960 ◽

Cited By ~ 15

Author(s):

Huo-Chong Ling ◽

Raphael C.-W. Phan ◽

Swee-Huay Heng

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Hybrid Watermarking ◽

Value Decomposition

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Singular value decomposition for the 2D fan-beam Radon transform of tensor fields

Journal of Inverse and Ill-Posed Problems ◽

10.1515/1569394042215865 ◽

2004 ◽

Vol 12 (3) ◽

pp. 245-278 ◽

Cited By ~ 21

Author(s):

S. G. Kazantsev ◽

A. A. Bukhgeim

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Tensor Fields ◽

Value Decomposition

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Hybrid watermarking algorithm based on Singular Value Decomposition and Radon transform

AEU - International Journal of Electronics and Communications ◽

10.1016/j.aeue.2010.09.008 ◽

2011 ◽

Vol 65 (7) ◽

pp. 658-663 ◽

Cited By ~ 75

Author(s):

Saeed Rastegar ◽

Fateme Namazi ◽

Khashayar Yaghmaie ◽

Amir Aliabadian

Keyword(s):

Singular Value Decomposition ◽

Radon Transform ◽

Singular Value ◽

Hybrid Watermarking ◽

Value Decomposition

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Radon transform inversion via Wiener filtering over the Euclidean motion group

Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429) ◽

10.1109/icip.2003.1246804 ◽

2004 ◽

Cited By ~ 6

Author(s):

C.E. Yarman ◽

B. Yazici

Keyword(s):

Radon Transform ◽

Wiener Filtering ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion

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Radon Transform Inversion Based on Harmonic Analysis of the Euclidean Motion Group

Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. ◽

10.1109/icassp.2005.1415446 ◽

2006 ◽

Cited By ~ 2

Author(s):

C.E. Yarman ◽

B. Yazici

Keyword(s):

Harmonic Analysis ◽

Radon Transform ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion

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