English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The paper addresses the generalization of the half-quadratic minimizationmethod for the restoration of images having values in a complete Riemannianmanifold. We recall the half-quadratic minimization method using the notationof the c-transform and adapt the algorithm to our special variational setting.We prove the convergence of the method for Hadamard spaces. Extensive numericalexamples for images with values on spheres, in the rotation group SO(3) and inthe manifold of positive definite matrices demonstrate the excellentperformance of the algorithm. In particular, the method with SO(3)-valued datashows promising results for the restoration of images obtained from ElectronBackscattered Diffraction which are of interest in material science.

Restoration of Manifold-Valued Images by Half-Quadratic Minimization