@inproceedings{a22181061c91450e94c3f99a4a5c7281,
title = "Geodesic shooting and diffeomorphic matching via textured meshes",
abstract = "We propose a new approach in the context of diffeomorphic image matching with free boundaries. A region of interest is triangulated over a template, which is considered as a grey level textured mesh. A diffeomorphic transformation is then approximated by the piecewise affine deformation driven by the displacements of the vertices of the triangles. This provides a finite dimensional, landmark-type, reduction for this dense image comparison problem. Based on an optimal control model, we analyze and compare two optimization methods formulated in terms of the initial momentum: direct optimization by gradient descent, or root-finding for the transversality equation, enhanced by a preconditioning of the Jacobian. We finally provide a series of numerical experiments on digit and face matching.",
author = "Stephanie Allassonni{\`e}re and Alain Trouv{\'e} and Laurent Younes",
year = "2005",
month = jan,
day = "1",
doi = "10.1007/11585978\_24",
language = "English",
isbn = "3540302875",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "365--381",
booktitle = "Energy Minimization Methods in Computer Vision and Pattern Recognition - 5th International Workshop, EMMCVPR 2005, Proceedings",
note = "5th International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2005 ; Conference date: 09-11-2005 Through 11-11-2005",
}