Combinatoric digital geometry and image processing

Alain Bretto; Hocine Cherifi; Bernard Laget

doi:10.1117/12.251811

30 September 1996 Combinatoric digital geometry and image processing

Alain Bretto, Hocine Cherifi, Bernard Laget

Proceedings Volume 2826, Vision Geometry V; (1996) https://doi.org/10.1117/12.251811
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

This paper introduces a combinatoric approach in digital geometry. This mathematical tool allows to establish a connection between algebra and geometry in digital geometry. Some development in hypergraphs, matroid and antimatroid are presented. Such concepts provide a sound mathematical basis for digital geometry objects such as graphs, convexity and algebra. Some applications in image processing are included in this paper.

Citation Download Citation

Alain Bretto, Hocine Cherifi, and Bernard Laget "Combinatoric digital geometry and image processing", Proc. SPIE 2826, Vision Geometry V, (30 September 1996); https://doi.org/10.1117/12.251811

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