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» A HOL Theory of Euclidean Space
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SIGIR
2005
ACM
13 years 11 months ago
Orthogonal locality preserving indexing
We consider the problem of document indexing and representation. Recently, Locality Preserving Indexing (LPI) was proposed for learning a compact document subspace. Different from...
Deng Cai, Xiaofei He
VISUALIZATION
1999
IEEE
13 years 9 months ago
Tetrahedral Mesh Compression with the Cut-Border Machine
In recent years, substantial progress has been achieved in the area of volume visualization on irregular grids, which is mainly based on tetrahedral meshes. Even moderately fine t...
Stefan Gumhold, Stefan Guthe, Wolfgang Straß...
COMPGEOM
2010
ACM
13 years 9 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
FOCM
2008
100views more  FOCM 2008»
13 years 5 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 5 months ago
Unequal dimensional small balls and quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu