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» Introduction to the Calculus of Variations
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IJCV
2006
262views more  IJCV 2006»
13 years 8 months ago
A Variational Model for Object Segmentation Using Boundary Information and Shape Prior Driven by the Mumford-Shah Functional
In this paper, we propose a new variational model to segment an object belonging to a given shape space using the active contour method, a geometric shape prior and the Mumford-Sha...
Xavier Bresson, Pierre Vandergheynst, Jean-Philipp...
BMVC
2010
13 years 6 months ago
Diffusion-based Regularisation Strategies for Variational Level Set Segmentation
Variational level set methods are formulated as energy minimisation problems, which are often solved by gradient-based optimisation methods, such as gradient descent. Unfortunatel...
Maximilian Baust, Darko Zikic, Nassir Navab
CVPR
2007
IEEE
14 years 10 months ago
A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation
In this paper we derive differential equations for evolving radial basis functions (RBFs) to solve segmentation problems. The differential equations result from applying variation...
Greg G. Slabaugh, Huong Quynh Dinh, Gozde B. Unal
PAMI
2007
129views more  PAMI 2007»
13 years 8 months ago
Algorithmic Differentiation: Application to Variational Problems in Computer Vision
Abstract— Many vision problems can be formulated as minimization of appropriate energy functionals. These energy functionals are usually minimized, based on the calculus of varia...
Thomas Pock, Michael Pock, Horst Bischof
AISC
2006
Springer
14 years 9 days ago
Operator Calculus Approach to Solving Analytic Systems
Solving analytic systems using inversion can be implemented in a variety of ways. One method is to use Lagrange inversion and variations. Here we present a different approach, base...
Philip Feinsilver, René Schott