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COMPGEOM
2007
ACM
14 years 1 months ago
Medial axis approximation from inner Voronoi balls: a demo of the Mesecina tool
We illustrate a simple algorithm for approximating the medial axis of a 2D shape with smooth boundary from a sample of this boundary. The algorithm is compared to a more general a...
Balint Miklos, Joachim Giesen, Mark Pauly
COMPGEOM
2005
ACM
13 years 12 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
COMPGEOM
2008
ACM
13 years 11 months ago
Delpsc: a delaunay mesher for piecewise smooth complexes
This video presents the working of a new algorithm/software called DelPSC that meshes piecewise smooth complexes in three dimensions with Delaunay simplices. Piecewise smooth comp...
Tamal K. Dey, Joshua A. Levine
COMPGEOM
2008
ACM
13 years 11 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
DCG
2010
77views more  DCG 2010»
13 years 10 months ago
Oriented Mixed Area and Discrete Minimal Surfaces
Abstract. Recently a curvature theory for polyhedral surfaces has been established which associates with each face a mean curvature value computed from areas and mixed areas of tha...
Christian Müller, Johannes Wallner