This paper reviews some recent applications of the theory of the compensated convex transforms or of the proximity hull as developed by the authors to image processing and shape interrogation with special attention given to the Hausdorff stability and multiscale properties. The paper contains also numerical experiments that demonstrate the performance of our methods compared to the state-of-art ones.
@article{arxiv.2010.04720,
title = {Compensated Convex Based Transforms for Image Processing and Shape Interrogation},
author = {Antonio Orlando and Elaine Crooks and Kewei Zhang},
journal= {arXiv preprint arXiv:2010.04720},
year = {2020}
}