Name
Abstract | ||
|---|---|---|
The problem of finding p-harmonic flows arises in a wide range of applications including color image (chromaticity) denoising, micromagnetics, liquid crystal theory, and directional diffusion. In this paper, we propose an innovative curvilinear search method for minimizing p-harmonic energies over spheres. Starting from a flow (map) on the unit sphere, our method searches along a curve that lies on the sphere in a manner similar to that of a standard inexact line search descent method. We show that our method is globally convergent if the step length satisfies the Armijo-Wolfe conditions. Computational tests are presented to demonstrate the efficiency of the proposed method and a variant of it that uses Barzilai-Borwein steps. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080726926 | SIAM JOURNAL ON IMAGING SCIENCES |
Keywords | DocType | Volume |
energy minimization,p-harmonic maps,p-harmonic flows,finite difference,curvilinear search,global convergence,chromaticity denoising | Journal | 2 |
Issue | ISSN | Citations |
1 | 1936-4954 | 16 |
PageRank | References | Authors |
0.79 | 14 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Donald Goldfarb | 1 | 755 | 63.99 |
| Zaiwen Wen | 2 | 934 | 40.20 |
| Wotao Yin | 3 | 5038 | 243.92 |