The Generalized Spherical Radon Transform and Its Application in Texture Analysis

Details The Generalized Spherical Radon Transform and Its Application in Texture Analysis The Generalized Spherical Radon Transform and Its Application in Texture Analysis

2005-04-22

arxiv.org/abs/math-ph/0504069v1

Physics

Mathematical Physics

26 pages

Scientific paper

The generalized spherical Radon transform associates the mean values over spherical tori to a function $f$ defined on $\mathbb{S}^3 \subset \mathbb{H}$, where the elements of $\mathbb{S}^3$ are considered as quaternions representing rotations. It is introduced into the analysis of crystallographic preferred orientation and identified with the probability density function corresponding to the angle distribution function $W$. Eventually, this communication suggests a new approach to recover an approximation of $f$ from data sampling $W$. At the same time it provides additional clarification of a recently suggested method applying reproducing kernels and radial basis functions by instructive insight in its involved geometry. The focus is on the correspondence of geometrical and group features but not on the mapping of functions and their spaces.

Affiliated with

Also associated with

No associations

Rating

The Generalized Spherical Radon Transform and Its Application in Texture Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Generalized Spherical Radon Transform and Its Application in Texture Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Generalized Spherical Radon Transform and Its Application in Texture Analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612109