Discrete Morse theory has been used in various works of image analysis. In this talk, we will describe a recent study on how to reconstruct a geometric graph from its noisy sample using Discrete Morse theory. Theoretical results can be applied for reconstructing road networks from their noisy images in 2D. In three dimensions, we explore its application to reconstructing neurons, porous bones, and other fillamentary structures from their images. Joint work with: Jiayuan Wang and Yusu Wang

This presentation is part of Minisymposium “MS16 - Topological Image Analysis: Methods, Algorithms, Applications (3 parts)”
organized by: Patrizio Frosini (University of Bologna) , Massimo Ferri (University of Bologna) , Claudia Landi (University of Modena and Reggio Emilia) .

Authors:

Tamal Krishna Dey (The Ohio State University )

Keywords:

discrete morse theory, image enhancement, image reconstruction, image segmentation