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IMR
2005
Springer
15 years 9 months ago
Polygon Crawling: Feature-Edge Extraction from a General Polygonal Surface for Mesh Generation
This paper describes a method for extracting feature edges of a polygonal surface for mesh generation. This method can extract feature edges from a polygonal surface typically cre...
Soji Yamakawa, Kenji Shimada
182
Voted
COMPGEOM
2010
ACM
15 years 8 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan
147
Voted
COMPGEOM
2000
ACM
15 years 7 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
COMPGEOM
2000
ACM
15 years 7 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
113
Voted
COMPGEOM
2007
ACM
15 years 7 months ago
Bi-criteria linear-time approximations for generalized k-mean/median/center
We consider the problem of approximating a set P of n points in Rd by a collection of j-dimensional flats, and extensions thereof, under the standard median / mean / center measur...
Dan Feldman, Amos Fiat, Micha Sharir, Danny Segev