Computer assisted prosthetic surgery, based on deformable surfaces and statistical modeling

This paper is devoted to investigate numerical optimization algorithms of the theory of deformable surfaces and to emphasize some of their computerized applications in medical image analysis and prosthetic surgery. After defining the 3D variational deformable model, both in static and dynamic form, an algorithm for finding the optimal deformable surface is presented, together with estimations for its approximation error and a condition for its convergence. Finally, a statistical modeling and a corresponding algorithm applied in surgery are presented.