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COMPGEOM
2001
ACM
15 years 4 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
Herbert Edelsbrunner, John Harer, Afra Zomorodian
114
Voted
COMPGEOM
2003
ACM
15 years 6 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
162
Voted
VLSISP
2010
254views more  VLSISP 2010»
14 years 11 months ago
Manifold Based Local Classifiers: Linear and Nonlinear Approaches
Abstract In case of insufficient data samples in highdimensional classification problems, sparse scatters of samples tend to have many ‘holes’—regions that have few or no nea...
Hakan Cevikalp, Diane Larlus, Marian Neamtu, Bill ...
MP
2010
156views more  MP 2010»
14 years 11 months ago
Representing the space of linear programs as the Grassmann manifold
: Each linear program (LP) has an optimal basis. The space of linear programs can be partitioned according to these bases, so called the basis partition. Discovering the structures...
Gongyun Zhao
CVPR
2008
IEEE
16 years 2 months ago
A recursive filter for linear systems on Riemannian manifolds
We present an online, recursive filtering technique to model linear dynamical systems that operate on the state space of symmetric positive definite matrices (tensors) that lie on...
Ambrish Tyagi, James W. Davis