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CCCG
2007
13 years 9 months ago
On the Fewest Nets Problem for Convex Polyhedra
Given a convex polyhedron with n vertices and F faces, what is the fewest number of pieces, each of which unfolds to a simple polygon, into which it may be cut by slices along edg...
Val Pinciu
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 8 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
28
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CAGD
2005
89views more  CAGD 2005»
13 years 7 months ago
Mean value coordinates in 3D
Abstract: Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at th...
Michael S. Floater, Géza Kós, Martin...
CAGD
2007
86views more  CAGD 2007»
13 years 7 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren
ESA
2008
Springer
94views Algorithms» more  ESA 2008»
13 years 9 months ago
Relative Convex Hulls in Semi-dynamic Subdivisions
Abstract. We present data structures for maintaining the relative convex hull of a set of points (sites) in the presence of pairwise non-crossing line segments (barriers) that subd...
Mashhood Ishaque, Csaba D. Tóth