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» Barycentric coordinates for convex sets
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CGF
2010
128views more  CGF 2010»
13 years 5 months ago
Moving Least Squares Coordinates
We propose a new family of barycentric coordinates that have closed-forms for arbitrary 2D polygons. These coordinates are easy to compute and have linear precision even for open ...
Josiah Manson, Scott Schaefer
DCG
2008
90views more  DCG 2008»
13 years 5 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
WSCG
2004
156views more  WSCG 2004»
13 years 6 months ago
Efficient Collision Detection between 2D Polygons
Collision detection between moving objects is an open question which raises major problems concerning its algorithmic complexity. In this paper we present a polygon collision dete...
Juan José Jiménez, Rafael Jesú...
DAM
2007
177views more  DAM 2007»
13 years 5 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 5 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing