×

The generalized spherical Radon transform, kernels, wavelets and standard functions in texture analysis. (English) Zbl 1087.44501

Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 900-903 (2005).
Summary: By the aid of the generalized Radon transform a new approach to recover an approximation of the probability density function \(f\) from data sampling the angular distribution function \(W\) is suggested. It also provides a deeper inside into the method of applying reproducing kernels and radial basis functions.
For the entire collection see [Zbl 1074.65001].

MSC:

44A12 Radon transform
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
51M15 Geometric constructions in real or complex geometry