The Shape of an Image - A Study of Mapper on Images

Abstract

We study the topological construction called Mapper in the context of simply connected domains, in particular on images. The Mapper construction can be considered as a generalization for contour, split, and joint trees on simply connected domains. A contour tree on an image domain assumes the height function to be a piecewise linear Morse function. This is… (More)
DOI: 10.5220/0006574803390347

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