COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
This paper presents an algorithm for sampling and triangulating a generic C2 -smooth surface Σ ⊂ R3 that is input with an implicit equation. The output triangulation is guarant...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
We present a new algorithm for unfolding planar polygonal linkages without self-intersection based on following the gradient flow of a “repulsive” energy function. This algor...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
We prove that the lines tangent to four possibly intersecting convex polyhedra in 3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
For many geometric problems, there are efficient algorithms that use surprisingly very little extra space other than the given array holding the input. For many geometric query pr...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
We study the problem of computing the visibility graph defined by a set P of n points inside a polygon Q: two points p, q ∈ P are joined by an edge if the segment pq ⊂ Q. Ef...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
We present memory-efficient deterministic algorithms for constructing -nets and -approximations of streams of geometric data. Unlike probabilistic approaches, these deterministic...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
A frequently arising problem in computational geometry is when a physical structure, such as an ad-hoc wireless sensor network or a protein backbone, can measure local information...
COMPGEOM
2004
ACM
14 years 4 months ago
2004
ACM
Given a set of n points S in the plane, a triangulation of S is a subdivision of the convex hull into triangles whose vertices are from S. In the kinetic setting, the input point ...