* Auteur correspondant
Abstract : The level set representation of shapes is useful for shape evolution and is widely used for the minimization of energies with respect to shapes. Many algorithms consider energies depending explicitly on the signed distance function (SDF) associated with a shape, and differentiate these energies with respect to the SDF directly in order to make the level set representation evolve. This framework is known as the variational level set method''. We show that this gradient computation is actually mathematically incorrect, and can lead to undesirable performance in practice. Instead, we derive the expression of the gradient with respect to the shape, and show that it can be easily computed from the gradient of the energy with respect to the SDF. We discuss some problematic gradients from the literature, show how they can easily be fixed, and provide experimental comparisons illustrating the improvement.
Type de document :
Communication dans un congrès
11th European Conference on Computer Vision, Sep 2010, Hersonissos, Greece. Springer, 2010, LNCS

Littérature citée [22 références]

https://hal.inria.fr/inria-00497222
Contributeur : Guillaume Charpiat <>
Soumis le : vendredi 2 juillet 2010 - 17:11:36
Dernière modification le : samedi 27 janvier 2018 - 01:30:45
Document(s) archivé(s) le : mardi 23 octobre 2012 - 09:37:18

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ECCV_paper151.pdf
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• HAL Id : inria-00497222, version 1

### Citation

Siqi Chen, Guillaume Charpiat, Richard Radke. Converting Level Set Gradients to Shape Gradients. 11th European Conference on Computer Vision, Sep 2010, Hersonissos, Greece. Springer, 2010, LNCS. 〈inria-00497222〉

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