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COMPGEOM
1994
ACM
15 years 8 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
COMPGEOM
2001
ACM
15 years 8 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
COMPGEOM
2009
ACM
15 years 10 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
COMPGEOM
2000
ACM
15 years 8 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
IMR
2000
Springer
15 years 7 months ago
Quadrilateral Meshing with Anisotropy and Directionality Control via Close Packing of Rectangular Cells
A new technique for automatically generating anisotropic quadrilateral meshes is presented in this paper. The inputs are (1) a 2D geometric domain and (2) a desired anisotropy
Naveen Viswanath, Kenji Shimada, Takayuki Itoh