Numerical methods for minimization problems constrained to S1 and S2

Authors:
Thomas Cecil;Stanley Osher;Luminita Vese
Affiliations:
Department of Mathematics, University of California, Box 951555, Los Angeles, CA;Department of Mathematics, University of California, Box 951555, Los Angeles, CA;Department of Mathematics, University of California, Box 951555, Los Angeles, CA
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

In this paper, we propose numerical methods for minimization problems constrained to S1 and S2. By our technique based on the angle formulation, standard numerical difficulties are easily overcome. Applications to computations of harmonic maps, denoising of directional data and of color images are presented, in two and three dimensions.