The paper at hand is concerned with creating a flexible wavelet theory on the three sphere S 3 and the rotation group SO(3). The theory of zonal functions and reproducing kernels will be used to develop conditions for an admissible wavelet. After explaining some preliminaries on group actions and so
A one-dimensional Radon transform on SO(3) and its application to texture goniometry
β Scribed by Swanhild Bernstein; Helmut Schaeben
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 184 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.612
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β¦ Synopsis
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 S 3 for even functions.
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