Reconstructing Open Surfaces from Image Data
International Journal of Computer Vision
Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation
International Journal of Computer Vision
Generalized Gradients: Priors on Minimization Flows
International Journal of Computer Vision
Geometric surface evolution with tangential contribution
Journal of Computational and Applied Mathematics
Organ Segmentation with Level Sets Using Local Shape and Appearance Priors
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Reconstructing open surfaces from unorganized data points
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
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In this paper, we overcome a major drawback of the levelset framework: the lack of point correspondences. We maintainexplicit backward correspondences from the evolvinginterface to the initial one by advecting the initial point coordinateswith the same speed as the level set function. Ourmethod leads to a system of coupled Eulerian partial differentialequations. We show in a variety of numerical experimentsthat it can handle both normal and tangential velocities,large deformations, shocks, rarefactions and topologicalchanges. Applications are many in computer vision andelsewhere since our method can upgrade virtually any levelset evolution. We complement our work with the design ofnon zero tangential velocities that preserve the relative areaof interface patches; this feature may be crucial in such applicationsas computational geometry, grid generation orunfolding of the organs' surfaces, e.g. brain, in medicalimaging.