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» Combinatorial Surface Integration
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JACM
2007
115views more  JACM 2007»
13 years 7 months ago
Optimal pants decompositions and shortest homotopic cycles on an orientable surface
We consider the problem of finding a shortest cycle (freely) homotopic to a given simple cycle on a compact, orientable surface. For this purpose, we use a pants decomposition of...
Éric Colin de Verdière, Francis Laza...
SIAMCOMP
2010
93views more  SIAMCOMP 2010»
13 years 2 months ago
Tightening Nonsimple Paths and Cycles on Surfaces
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
Éric Colin de Verdière, Jeff Erickso...
COMGEO
2010
ACM
13 years 7 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
CORR
2002
Springer
79views Education» more  CORR 2002»
13 years 7 months ago
Optimally cutting a surface into a disk
We consider the problem of cutting a subset of the edges of a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total...
Jeff Erickson, Sariel Har-Peled
PAMI
1998
137views more  PAMI 1998»
13 years 7 months ago
Registration and Integration of Multiple Object Views for 3D Model Construction
—Automatic 3D object model construction is important in applications ranging from manufacturing to entertainment, since CAD models of existing objects may be either unavailable o...
Chitra Dorai, Gang Wang, Anil K. Jain, Carolyn R. ...