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MOR
2010
120views more  MOR 2010»
15 years 3 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
165
Voted
SMI
2005
IEEE
111views Image Analysis» more  SMI 2005»
15 years 10 months ago
Rational Spherical Splines for Genus Zero Shape Modeling
Traditional approaches for modeling a closed manifold surface with either regular tensor-product or triangular splines (defined over an open planar domain) require decomposing th...
Ying He 0001, Xianfeng Gu, Hong Qin
CAD
2006
Springer
15 years 5 months ago
A unified subdivision approach for multi-dimensional non-manifold modeling
This paper presents a new unified subdivision scheme that is defined over a k-simplicial complex in n-D space with k 3. We first present a series of definitions to facilitate top...
Yu-Sung Chang, Hong Qin
163
Voted
IJCV
2006
165views more  IJCV 2006»
15 years 5 months ago
A Riemannian Framework for Tensor Computing
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache
MA
2010
Springer
149views Communications» more  MA 2010»
15 years 3 months ago
A nonparametric approach to 3D shape analysis from digital camera images - I
In this article, for the first time, one develops a nonparametric methodology for an analysis of shapes of configurations of landmarks on real 3D objects from regular camera pho...
V. Patrangenaru, X. Liu, S. Sugathadasa