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.
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Laurence Boxer is Professor of Computer and Information Sciences at Niagara University, and Research Professor of Computer Science and Engineering at the State University of New York at Buffalo. He received his Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign. His research interests are computational geometry, parallel algorithms, and digital topology. Dr. Boxer is co-author, with Russ Miller, of Algorithms Sequential and Parallel, A Unified Approach, a recent textbook published by Prentice Hall.
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Boxer, L. Properties of Digital Homotopy. J Math Imaging Vis 22, 19–26 (2005). https://doi.org/10.1007/s10851-005-4780-y
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DOI: https://doi.org/10.1007/s10851-005-4780-y