A finite-element-based lifting framework gives sublabel-accurate convex relaxations for manifold-valued variational problems with general convex regularizers.
Wavelet Sparse Regularization for Manifold-Valued Data
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abstract
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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2019 1verdicts
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Lifting methods for manifold-valued variational problems
A finite-element-based lifting framework gives sublabel-accurate convex relaxations for manifold-valued variational problems with general convex regularizers.