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A one‐dimensional Radon transform on SO (3) and its application to texture goniometry
Author(s) -
Bernstein Swanhild,
Schaeben Helmut
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.612
Subject(s) - goniometer , radon transform , inversion (geology) , radon , texture (cosmology) , mathematics , mathematical analysis , computer science , artificial intelligence , image (mathematics) , geology , geometry , physics , geomorphology , quantum mechanics , structural basin
We consider a one‐dimensional Radon transform on the group SO (3), which is motivated by texture goniometry. In particular, we will derive several inversion formulae and compare them with the inversion of the one‐dimensional spherical Radon transform on 3 for even functions. Copyright © 2005 John Wiley & Sons, Ltd.