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COMPGEOM
2009
ACM
16 years 1 months ago
Persistent cohomology and circular coordinates
Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of lo...
Vin de Silva, Mikael Vejdemo-Johansson
COMPGEOM
2009
ACM
16 years 1 months ago
Integral estimation from point cloud in d-dimensional space: a geometric view
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
Chuanjiang Luo, Jian Sun, Yusu Wang
COMPGEOM
2006
ACM
16 years 22 days ago
An optimal-time algorithm for shortest paths on a convex polytope in three dimensions
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
Yevgeny Schreiber, Micha Sharir
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IMR
2005
Springer
16 years 8 days ago
A fews snags in mesh adaptation loops
The first stage in an adaptive finite element scheme (cf. [CAS95, bor1]) consists in creating an initial mesh of a given domain Ω, which is used to perform an initial computati...
Frédéric Hecht
COMPGEOM
2003
ACM
16 years 9 hour ago
Polygon decomposition based on the straight line skeleton
We propose a novel type of decomposition for polygonal shapes. It is thought that, for the task of object recognition, the human visual system uses a part-based representation. De...
Mirela Tanase, Remco C. Veltkamp