Chamfer distances are discrete distances based on the propagation of local distances, or weights defined in a mask. The medial axis, i.e. the centers of the maximal disks (disks which are not contained in any other disk), is a powerful tool for shape representation and analysis. The extraction of maximal disks is performed in the general case with comparison tests involving look-up tables representing the covering relation of disks in a local neighborhood. Although look-up table values can be computed efficiently [1], the computation of the look-up table neighborhood tend to be very time-consuming. By using polytope [2] descriptions of the chamfer disks, the necessary operations to extract the look-up tables are greatly reduced. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Normand, N., & Évenou, P. (2008). Medial axis LUT computation for chamfer norms using ℋ-polytopes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4992 LNCS, pp. 189–200). https://doi.org/10.1007/978-3-540-79126-3_18
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