Digital Analytical Geometry: How do I define a digital analytical object?

Eric Andres (1)

1 XLIM-SIC - SIC

This paper is meant as a short survey on analytically de-ned digital geometric objects. We will start by giving some elements on digitizations and its relations to continuous geometry. We will then explain how, from simple assumptions about properties a digital object should have, one can build mathematical sound digital objects. We will end with open problems and challenges for the future.

Mots clés: Digital Objects; Digital Analytical Geometry

Domaines: Informatique [cs]; Mathématique discrète [cs.DM]; Vision par ordinateur et reconnaissance de formes [cs.CV]

Eric Andres. Digital Analytical Geometry: How do I define a digital analytical object?. Seventeenth International Workshop on Combinatorial Image Analysis, Nov 2015, Calcutta, India. pp.3-17, ⟨10.1007/978-3-319-26145-4_1⟩. ⟨hal-01211465⟩