Journal
NUMERICAL ALGORITHMS
Volume 84, Issue 3, Pages 983-996Publisher
SPRINGER
DOI: 10.1007/s11075-019-00789-5
Keywords
Distance function; Variational methods; Distance transform; Skeleton; Curvature
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A novel variational problem for approximating the distance function (to a domain boundary) is proposed. It is shown that this problem can be efficiently solved by ADMM. A review of several other variational and PDE-based methods for distance function estimation is presented. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments. Applications of the method to the problems of surface curvature estimation and computing the skeleton of a binary image are shown.
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