`Continuous' functions on digital pictures
Pattern Recognition Letters
Digitally continuous functions
Pattern Recognition Letters
A Classical Construction for the Digital Fundamental Group
Journal of Mathematical Imaging and Vision
Homotopy in two-dimensional digital images
Theoretical Computer Science
STOC '83 Proceedings of the fifteenth annual ACM symposium on Theory of computing
Homotopy Properties of Sphere-Like Digital Images
Journal of Mathematical Imaging and Vision
Digital Products, Wedges, and Covering Spaces
Journal of Mathematical Imaging and Vision
Fundamental Groups of Unbounded Digital Images
Journal of Mathematical Imaging and Vision
Comparison among digital fundamental groups and its applications
Information Sciences: an International Journal
The Classification of Digital Covering Spaces
Journal of Mathematical Imaging and Vision
Some Properties of Digital Covering Spaces
Journal of Mathematical Imaging and Vision
Digitally continuous multivalued functions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Thinning algorithms as multivalued N-retractions
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Digitally Continuous Multivalued Functions, Morphological Operations and Thinning Algorithms
Journal of Mathematical Imaging and Vision
Ronse deletability conditions and (N,k )-retractions
Pattern Recognition Letters
Deletion of (26,6)-simple points as multivalued retractions
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
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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.