title: Iterative methods for obtaining energy-minimizing parametric snakes with applications to medical imaging.
abstract: After a brief survey on the parametric deformable models, we develop an iterative method based on the finite difference schemes in order to obtain energy-minimizing snakes. We estimate the approximation error, the residue, and the truncature error related to the corresponding algorithm, then we discuss its convergence, consistency, and stability. Some aspects regarding the prosthetic sugical methods that implement the above numerical methods are also pointed out.
authors.affiliation: Department of Mathematics, Technical University of Cluj-Napoca, George Baritiu Street, No. 25, 400020 Cluj-Napoca, Romania.
authors.forename: Alexandru Ioan
authors.initials: AI
authors.lastname: Mitrea
authors.forename: Radu
authors.initials: R
authors.lastname: Badea
authors.forename: Delia
authors.initials: D
authors.lastname: Mitrea
authors.forename: Sergiu
authors.initials: S
authors.lastname: Nedevschi
authors.forename: Paulina
authors.initials: P
authors.lastname: Mitrea
authors.forename: Dumitru Mircea
authors.initials: DM
authors.lastname: Ivan
authors.forename: Octavian Mircia
authors.initials: OM
authors.lastname: Gurzău
mesh_terms: D003952:Diagnostic Imaging / Q000379:methods*; D020342:Finite Element Analysis; D008962:Models, Theoretical; D019736:Prostheses and Implants; D012984:Software