Curvature is a continuous and infinitesimal notion. These properties induce geometrical difficulties in digital frameworks, and the following question is naturally asked: “How to define and compute curvatures of digital shapes?” In fact, not only geometrical but also topological difficulties are also induced in digital frameworks. The – deeper – question thus arises: “Can we still define and compute curvatures?” This latter question, that is relevant in the context of digitization, i.e., when passing from to , can also be stated in itself, when applying geometric transformations on digital shapes. This paper proposes a preliminary discussion on this topic.
@article{ACIRM_2013__3_1_195_0, author = {Yukiko Kenmochi and Phuc Ngo and Nicolas Passat and Hugues Talbot}, title = {Digital shapes, digital boundaries and rigid transformations: A topological discussion}, journal = {Actes des rencontres du CIRM}, publisher = {CIRM}, volume = {3}, number = {1}, year = {2013}, pages = {195-201}, doi = {10.5802/acirm.68}, language = {en}, url = {https://acirm.centre-mersenne.org/item/ACIRM_2013__3_1_195_0} }
Kenmochi, Yukiko; Ngo, Phuc; Passat, Nicolas; Talbot, Hugues. Digital shapes, digital boundaries and rigid transformations: A topological discussion. Actes des rencontres du CIRM, Volume 3 (2013) no. 1, pp. 195-201. doi : 10.5802/acirm.68. https://acirm.centre-mersenne.org/item/ACIRM_2013__3_1_195_0/
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