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Wavelet Sparse Regularization for Manifold-Valued Data

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arxiv 1808.00505 v1 pith:S5DCVTZ2 submitted 2018-08-01 math.NA cs.CVcs.NAmath.DG

Martin Storath , Andreas Weinmann This is my paper · ORCID
classification math.NAcs.CVcs.NAmath.DG
keywords datamanifold-valuedmodelsregularizationresultssparsewaveletalgorithms
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In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale transform. We propose and study variational models for this task and provide results on their well-posedness. We present algorithms for a numerical realization of these models in the manifold setup. Further, we provide experimental results to show the potential of the proposed schemes for applications.

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Cited by 1 Pith paper

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  1. Lifting methods for manifold-valued variational problems

    math.NA 2019-08 conditional novelty 6.0 of 10

    A finite-element-based lifting framework gives sublabel-accurate convex relaxations for manifold-valued variational problems with general convex regularizers.

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