Orthogonal function series formulas for inversion of the spherical Radon transform

Inverse Problems ◽

10.1088/1361-6420/ab6d54 ◽

2020 ◽

Vol 36 (3) ◽

pp. 035007

Author(s):

Sunghwan Moon

Keyword(s):

Radon Transform ◽

Function Series ◽

Orthogonal Function ◽

Spherical Radon Transform

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Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis

Inverse Problems ◽

10.1088/1361-6420/ab44e3 ◽

2019 ◽

Vol 35 (12) ◽

pp. 125007 ◽

Author(s):

Sunghwan Moon

Keyword(s):

Radon Transform ◽

Central Axis ◽

Function Series ◽

Orthogonal Function

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Orthogonal Function Series Expansions and the Null Space of the Radon Transform

SIAM Journal on Mathematical Analysis ◽

10.1137/0515047 ◽

1984 ◽

Vol 15 (3) ◽

pp. 621-633 ◽

Author(s):

Alfred K. Louis

Keyword(s):

Radon Transform ◽

Series Expansions ◽

Function Series ◽

Orthogonal Function

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New approximated inversion of spherical Radon transform in SAR imaging

2013 IEEE International Conference on Image Processing ◽

10.1109/icip.2013.6738494 ◽

2013 ◽

Author(s):

Remi Regnier ◽

Gael Rigaud ◽

Mai K. Nguyen

Keyword(s):

Radon Transform ◽

Sar Imaging ◽

Spherical Radon Transform

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On a Regularization Scheme for Linear Operators in Distribution Spaces with an Application to the Spherical Radon Transform

SIAM Journal on Applied Mathematics ◽

10.1137/s003613990343879x ◽

2005 ◽

Vol 65 (4) ◽

pp. 1369-1387 ◽

Author(s):

Thomas Schuster ◽

Eric Todd Quinto

Keyword(s):

Radon Transform ◽

Linear Operators ◽

Regularization Scheme ◽

Distribution Spaces ◽

Spherical Radon Transform

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On a Stability Property of the Generalized Spherical Radon Transform

Asymptotic Geometric Analysis - Fields Institute Communications ◽

10.1007/978-1-4614-6406-8_5 ◽

2013 ◽

pp. 55-73

Author(s):

Dmitry Faifman

Keyword(s):

Radon Transform ◽

Stability Property ◽

Spherical Radon Transform

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Numerical inversion of the spherical Radon transform and the cosine transform using the approximate inverse with a special class of locally supported mollifiers

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0095 ◽

2013 ◽

Vol 0 (0) ◽

Author(s):

Martin Riplinger ◽

Malte Spiess

Keyword(s):

Radon Transform ◽

Special Class ◽

Numerical Inversion ◽

Approximate Inverse ◽

Cosine Transform ◽

Spherical Radon Transform

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Inversion of Fractional Integrals Related to the Spherical Radon Transform

Journal of Functional Analysis ◽

10.1006/jfan.1998.3268 ◽

1998 ◽

Vol 157 (2) ◽

pp. 470-487 ◽

Author(s):

Boris Rubin

Keyword(s):

Radon Transform ◽

Fractional Integrals ◽

Spherical Radon Transform

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The Bingham Distribution of Quaternions and Its Spherical Radon Transform in Texture Analysis

Mathematical Geology ◽

10.1023/b:matg.0000048799.56445.59 ◽

2004 ◽

Vol 36 (8) ◽

pp. 917-943 ◽

Author(s):

Karsten Kunze ◽

Helmut Schaeben

Keyword(s):

Texture Analysis ◽

Radon Transform ◽

Bingham Distribution ◽

Spherical Radon Transform

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Inversion of the spherical Radon transform by a Poisson type formula

Radon Transforms and Tomography - Contemporary Mathematics ◽

10.1090/conm/278/04602 ◽

2001 ◽

pp. 137-146 ◽

Author(s):

Isaac Pesenson ◽

Eric L. Grinberg

Keyword(s):

Radon Transform ◽

Type Formula ◽

Spherical Radon Transform ◽

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The spherical Radon transform with centers on cylindrical surfaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.11.022 ◽

2017 ◽

Vol 448 (1) ◽

pp. 567-579 ◽

Author(s):

Markus Haltmeier ◽

Sunghwan Moon

Keyword(s):

Radon Transform ◽

Spherical Radon Transform

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