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COMGEO
2007
ACM
14 years 9 months ago
Learning smooth shapes by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
PG
2003
IEEE
15 years 3 months ago
From a Closed Piecewise Geodesic to a Constriction on a Closed Triangulated Surface
Constrictions on a surface are defined as simple closed curves whose length is locally minimal. In particular, constrictions are periodic geodesics. We use constrictions in order...
Franck Hétroy, Dominique Attali
COMPGEOM
2008
ACM
14 years 11 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...
COMGEO
2010
ACM
14 years 10 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff
SGP
2003
14 years 11 months ago
Edge-Sharpener: Recovering Sharp Features in Triangulations of non-adaptively re-meshed surfaces
3D scanners, iso-surface extraction procedures, and several recent geometric compression schemes sample surfaces of 3D shapes in a regular fashion, without any attempt to align th...
Marco Attene, Bianca Falcidieno, Michela Spagnuolo...