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» Axiomatizing geometric constructions
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SMA
2005
ACM
151views Solid Modeling» more  SMA 2005»
14 years 2 months ago
A constructive approach to calculate parameter ranges for systems of geometric constraints
Geometric constraints are at the heart of parametric and feature-based CAD systems. Changing values of geometric constraint parameters is one of the most common operations in such...
Hilderick A. van der Meiden, Willem F. Bronsvoort
COMGEO
2004
ACM
13 years 8 months ago
Speeding up the incremental construction of the union of geometric objects in practice
We present a new incremental algorithm for constructing the union of n triangles in the plane. In our experiments, the new algorithm, which we call the Disjoint-Cover (DC) algorit...
Eti Ezra, Dan Halperin, Micha Sharir
COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 8 months ago
Geometrically Constructed Bases for Homology of Partition Lattices
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
Anders Björner, Michelle L. Wachs
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
14 years 7 hour ago
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
In this paper, we present a method for constructing Loop’s subdivision surface patches with given G1 boundary conditions and a given topology of control polygon of the subdivisi...
Guoliang Xu, Qing Pan
FOCS
2009
IEEE
14 years 3 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma