English

Tikhonov Regularization of Sphere-Valued Signals

Optimization and Control 2022-07-26 v1 Signal Processing

Abstract

It is common to have to process signals, whose values are points on the 3-D sphere. We consider a Tikhonov-type regularization model to smoothen or interpolate sphere-valued signals defined on arbitrary graphs. We propose a convex relaxation of this nonconvex problem as a semidefinite program, which is easy to solve numerically and is efficient in practice.

Keywords

Cite

@article{arxiv.2207.12330,
  title  = {Tikhonov Regularization of Sphere-Valued Signals},
  author = {Laurent Condat},
  journal= {arXiv preprint arXiv:2207.12330},
  year   = {2022}
}
R2 v1 2026-06-25T01:12:44.565Z