Properties of Digital Homotopy

Author: Boxer Laurence¹

Source: Journal of Mathematical Imaging and Vision, Volume 22, Number 1, January 2005 , pp. 19-26(8)

Publisher: Springer

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Abstract:

Several recent papers have adapted notions of geometric topology to the emerging field of ‘digital topology.’ An important notion is that of digital homotopy. In this paper, we study a variety of digitally-continuous functions that preserve homotopy types or homotopy-related properties such as the digital fundamental group.

Keywords: digital image; digitally continuous; homeomorphism; retraction; homotopy; fundamental group; digital topology

Document Type: Research article

DOI: 10.1007/s10851-005-4780-y

Affiliations: 1: Department of Computer and Information Sciences, Niagara University, Lewiston, NY, 14109, USA, Email: boxer@niagara.edu

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