Abstract. The theory of multidimensional persistence captures the topology of a multifiltration – a multiparameter family of increasing spaces. Multifiltrations arise naturally...
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
: We investigate the relationship between computable metric spaces (X, d, ) and (X, d, ), where (X, d) is a given metric space. In the case of Euclidean space, and are equivalent ...
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D d...