 |
Conference papers
Digitization of Partitions and Tessellations
Abstract : We study hierarchies of partitions in a topological space where the interiors of the classes and their frontiers are simultaneously represented. In both continuous and discrete spaces our approach rests on tessellations whose classes are R-open sets. In the discrete case, the passage from partitions to tessellations is expressed by the Alexandrov topology and yields double resolutions. A new topology is proposed to remove the ambiguities of the diagonal configurations. It leads to the triangular grid in Z^2 and the centered cubic grid in Z^3 , which are the only translation invariant grids which preserve connectivity and permit the use of saliency functions.
Cited literature [22 references]
https://hal.archives-ouvertes.fr/hal-01306414
Contributor : Bangalore Ravi Kiran <>
Submitted on : Saturday, April 23, 2016 - 3:03:00 PM
Last modification on : Thursday, April 9, 2020 - 5:08:13 PM
Contributor : Bangalore Ravi Kiran <>
Submitted on : Saturday, April 23, 2016 - 3:03:00 PM
Last modification on : Thursday, April 9, 2020 - 5:08:13 PM
