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ICIP
2010
IEEE
13 years 8 months ago
Tensor-based image diffusions derived from generalizations of the Total Variation and Beltrami Functionals
We introduce a novel functional for vector-valued images that generalizes several variational methods, such as the Total Variation and Beltrami Functionals. This functional is bas...
Anastasios Roussos, Petros Maragos
ISBI
2008
IEEE
14 years 10 months ago
Triangulating cortical functional networks with anatomical landmarks
Defining precisely the position of active regions obtained from functional neuroimaging studies is challenging due to the functional and anatomical variability across subjects. Tr...
Alan Tucholka, Bertrand Thirion, Philippe Pinel, J...
SMA
2010
ACM
235views Solid Modeling» more  SMA 2010»
13 years 10 months ago
Constructing A-spline weight functions for stable WEB-spline finite element methods
Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is ...
Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na ...
JMLR
2008
139views more  JMLR 2008»
13 years 10 months ago
Regularization on Graphs with Function-adapted Diffusion Processes
Harmonic analysis and diffusion on discrete data has been shown to lead to state-of-theart algorithms for machine learning tasks, especially in the context of semi-supervised and ...
Arthur D. Szlam, Mauro Maggioni, Ronald R. Coifman
COMPGEOM
2003
ACM
14 years 3 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,...