Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
A hyperelastic deformable template for cardiac segmentation in MRI
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
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In this paper a 3D elastic model for the segmentation of vector fields has been proposed and analyzed. Elastic models for segmentation usually involve minimization of internal and external energy. A problem we observed with standard internal and external energy is that the local or the global reached minima do not force the external energy to be zero. To eliminate this difficulty, we propose introducing a constraint. The constraint problem is proved to be mathematically well posed, and a simple algorithm which avoids computing the lagrange multiplier is provided. This algorithm is proved to be convergent. Then the algorithm is applied to the segmentation of cardiac magnetic resonance imaging, and its efficiency is shown with two experiments.