The basic formulation of deformable models and survey their application to fundamental medical image analysis problems including segmentation shape representation matching and motion tracking 2 mathematical foundations of deformable models the mathematical foundations of deformable models represent the confluence of geometry physics and. O a deformable model is a geometric object whose shapecan changeover time o the deformation behavior of a deformable model is governed by variational ppprinciples vps and or state of art deformable models oexplicit parametric model snake kass witkin and terzopoulos 87 d superquadrics metaxas and terzopoulos 92 . 134 image segmentation using deformable models figure 33 a potential energy function derived from fig 31a 321 energy minimizing formulation the basic premise of the energy minimizing formulation of deformable con tours is to find a parameterized curve that minimizes the weighted sum of inter nal energy and potential energy. Deformable models in medical image analysis a survey tim mcinerney1 and demetri terzopoulos23 1departmentofcomputerscienceryersonuniversitytorontooncanadam5b2k3 2computersciencedepartmentuniversityofcalifornialosangelesca90095usa 3departmentofcomputerscienceuniversityoftorontotorontooncanadam5s3h5 abstract this article surveys deformable models a promising and vigorously
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