TV denoising of two balls in the plane
Vicent Caselles, Matteo Novaga, Christiane P\"oschl
TL;DR
This paper derives an explicit solution for the total variation denoising problem applied to the characteristic function of two disjoint balls in the plane, providing insights into image denoising of simple geometric shapes.
Contribution
It presents the first explicit analytical solution for TV denoising of a union of two disjoint circles, advancing understanding of TV regularization for composite shapes.
Findings
Explicit solution for two disjoint balls in TV denoising
Enhanced understanding of TV regularization on composite shapes
Potential applications in shape analysis and image processing
Abstract
The aim of this paper is to compute the explicit solution of the total variation denoising problem corresponding to the characteristic function of a set which is the union of two planar disjoint balls with different radii.
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Taxonomy
TopicsImage and Signal Denoising Methods · Medical Image Segmentation Techniques · Advanced Numerical Analysis Techniques