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IJCV
2006
165views more  IJCV 2006»
14 years 11 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
14 years 3 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
16 years 1 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»
14 years 11 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»
15 years 4 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...