Separating Rigid Motion for Continuous Shape Evolution

A method is proposed for the construction of descent directions for the minimization of energy functionals defined for plane curves. The method is potentially useful in a number of image analysis problems, such as image registration and shape warping, where the standard gradient descent curve evolut...

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Bibliographic Details
Published inElectronic letters on computer vision and image analysis Vol. 6; no. 2; p. 1
Main Authors Overgaard, Niels Chr, Solem, Jan Erik
Format Journal Article
LanguageCatalan
English
Published Centre de Visió per Computador 19.02.2007
Computer Vision Center Press
Subjects
Computer Vision
Gradient Descent
L2-gradient
Level Set Methods
Normal Velocity
Variational Problems
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Summary:A method is proposed for the construction of descent directions for the minimization of energy functionals defined for plane curves. The method is potentially useful in a number of image analysis problems, such as image registration and shape warping, where the standard gradient descent curve evolutions are not always feasible. The descent direction is constructed by taking a weighted average of the three components of the gradient corresponding to translation, rotation, and deformation. Our approach differs from previous work in the field by the use of implicit representation of curves and the notion of normal velocity of a curve evolution. Thus our theory is morphological and well suited for implementation in the level set framework.
ISSN:1577-5097
1577-5097
DOI:10.5565/rev/elcvia.144