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» Triangulations of Line Segment Sets in the Plane
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COMGEO
2010
ACM
13 years 7 months ago
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time and linear space an encompassing tree of maximum degree three such that at every vertex all incid...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
CG
2004
Springer
13 years 7 months ago
Surface processing methods for point sets using finite elements
We present a framework for processing point-based surfaces via partial differential equations (PDEs). Our framework efficiently and effectively brings well-known PDE-based process...
Ulrich Clarenz, Martin Rumpf, Alexandru Telea
ISVD
2007
IEEE
14 years 1 months ago
Voronoi Diagram with Respect to Criteria on Vision Information
Voronoi diagram for a set of geometric objects is a partition of the plane (or space in higher dimensions) into disjoint regions each dominated by some given object under a predet...
Tetsuo Asano, Naoki Katoh, Hisao Tamaki, Takeshi T...
IPL
2002
107views more  IPL 2002»
13 years 7 months ago
Binary space partitions for axis-parallel line segments: Size-height tradeoffs
We present worst-case lower bounds on the minimum size of a binary space partition (BSP) tree as a function of its height, for a set S of n axis-parallel line segments in the plan...
Sunil Arya
COMPGEOM
2010
ACM
13 years 10 months ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml