Abstract
We study difficulties that appear when well-established definitions and results in Euclidean geometry, especially in the theory of convex sets and functions in vector spaces, are translated into a discrete setting. Solutions to these problems are sketched.
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Kiselman, C.O. (2022). Digital Geometry, Mathematical Morphology, and Discrete Optimization: A Survey. In: Baudrier, É., Naegel, B., Krähenbühl, A., Tajine, M. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2022. Lecture Notes in Computer Science, vol 13493. Springer, Cham. https://doi.org/10.1007/978-3-031-19897-7_3
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DOI: https://doi.org/10.1007/978-3-031-19897-7_3
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