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Functional penalised basis pursuit on spheres
2021
Applied and Computational Harmonic Analysis
In this paper, we propose a unified theoretical and practical spherical approximation framework for functional inverse problems on the hypersphere S d−1 . More specifically, we consider recovering spherical fields directly in the continuous domain using functional penalised basis pursuit problems with generalised total variation (gTV) regularisation terms. Our framework is compatible with various measurement types as well as non-differentiable convex cost functionals. Via a novel representer
doi:10.1016/j.acha.2020.12.004
fatcat:3u4yovx5qnhelivab7buhcfliu