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IJCV
2006
165views more  IJCV 2006»
13 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
CVIU
2011
12 years 9 months ago
Graph attribute embedding via Riemannian submersion learning
In this paper, we tackle the problem of embedding a set of relational structures into a metric space for purposes of matching and categorisation. To this end, we view the problem ...
Haifeng Zhao, Antonio Robles-Kelly, Jun Zhou, Jian...
ICIP
2005
IEEE
14 years 7 months ago
Active contours on statistical manifolds and texture segmentation
A new approach to active contours on statistical manifolds is presented. The statistical manifolds are 2dimensional Riemannian manifolds that are statistically defined by maps that...
Sang-Mook Lee, A. Lynn Abbott, Neil A. Clark, Phil...
CGF
2008
118views more  CGF 2008»
13 years 5 months ago
Manifold-valued Thin-Plate Splines with Applications in Computer Graphics
We present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several app...
Florian Steinke, Matthias Hein, Jan Peters, Bernha...
CSB
2002
IEEE
169views Bioinformatics» more  CSB 2002»
13 years 10 months ago
Bayesian Network and Nonparametric Heteroscedastic Regression for Nonlinear Modeling of Genetic Network
We propose a new statistical method for constructing a genetic network from microarray gene expression data by using a Bayesian network. An essential point of Bayesian network con...
Seiya Imoto, SunYong Kim, Takao Goto, Sachiyo Abur...