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» Focal surfaces of discrete geometry
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CGF
2011
12 years 11 months ago
Contouring Discrete Indicator Functions
We present a method for calculating the boundary of objects from Discrete Indicator Functions that store 2material volume fractions with a high degree of accuracy. Although Marchi...
Josiah Manson, J. Smith, Scott Schaefer
DGCI
2003
Springer
14 years 23 days ago
On the Use of Shape Primitives for Reversible Surface Skeletonization
We use a mathematical morphology approach to compute the surface and curve skeletons of a 3D object. We focus on the behaviour of the surface skeleton, in particular the reversibil...
Stina Svensson, Pieter P. Jonker
COMPGEOM
2008
ACM
13 years 9 months ago
Schnyder woods for higher genus triangulated surfaces
In this paper we introduce a unified framework for topological manipulation on triangulated 2-manifolds with or without boundary. We show that there are two kinds of primitive oper...
Luca Castelli Aleardi, Éric Fusy, Thomas Le...
COMPGEOM
2000
ACM
13 years 12 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
CVPR
2010
IEEE
14 years 3 months ago
Discrete minimum ratio curves and surfaces
Graph cuts have proven useful for image segmentation and for volumetric reconstruction in multiple view stereo. However, solutions are biased: the cost function tends to favour ei...
Fred Nicolls, Phil Torr