Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3)

Details Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3) Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3)

2011-12-26

arxiv.org/abs/1112.5862v1

Mathematics

Functional Analysis

Scientific paper

The Radon transform Rf of functions f on SO(3) has recently been applied extensively in texture analysis, i.e. the analysis of preferred crystallographic orientation. In practice one has to determine the orientation probability density function f \in L2(SO(3)) from Rf \in L2(S2\times S2) which is known only on a discrete set of points. Since one has only partial information about Rf the inversion of the Radon transform becomes an ill-posed inverse problem. Motivated by this problem we define a new notion of the Radon transform Rf of functions f on general compact Lie groups and introduce two approximate inversion algorithms which utilize our previously developed generalized variational splines on manifolds. Our new algorithms fit very well to the application of Radon transform on SO(3) to texture analysis.

Affiliated with

Also associated with

No associations

Rating

Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3) 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 Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Splines for Radon Transform on Compact Lie Groups wit Applications to SO(3) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253099