Author:
Giga Yoshikazu,Sakakibara Koya,Taguchi Kazutoshi,Uesaka Masaaki
Abstract
AbstractIn this paper, we propose a new numerical scheme for a spatially discrete model of total variation flows whose values are constrained to a Riemannian manifold. The difficulty of this problem is that the underlying function space is not convex; hence it is hard to calculate a minimizer of the functional with the manifold constraint even if it exists. We overcome this difficulty by “localization technique” using the exponential map and prove a finite-time error estimate. Finally, we show a few numerical results for the target manifolds $$S^2$$
S
2
and SO(3).
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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