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» Cycle bases of graphs and sampled manifolds
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COMPGEOM
2011
ACM
14 years 1 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
ICASSP
2010
IEEE
14 years 10 months ago
Bridge detection and robust geodesics estimation via random walks
We propose an algorithm for detecting bridges and estimating geodesic distances from a set of noisy samples of an underlying manifold. Finding geodesics on a nearest neighbors gra...
Eugene Brevdo, Peter J. Ramadge
CVPR
2007
IEEE
16 years 3 hour ago
An MRF and Gaussian Curvature Based Shape Representation for Shape Matching
Matching and registration of shapes is a key issue in Computer Vision, Pattern Recognition, and Medical Image Analysis. This paper presents a shape representation framework based ...
Pengdong Xiao, Nick Barnes, Tibério S. Caet...
NIPS
2003
14 years 11 months ago
Minimax Embeddings
Spectral methods for nonlinear dimensionality reduction (NLDR) impose a neighborhood graph on point data and compute eigenfunctions of a quadratic form generated from the graph. W...
Matthew Brand
ICCV
2007
IEEE
15 years 4 months ago
Fast Matching of Planar Shapes in Sub-cubic Runtime
The matching of planar shapes can be cast as a problem of finding the shortest path through a graph spanned by the two shapes, where the nodes of the graph encode the local simil...
Frank R. Schmidt, Dirk Farin, Daniel Cremers