On the stability and convergence rate of some discretized schemes for parametric deformable models used in medical image analysis

Abstract

In order to find the energy-minimizing surface and to reduce the computational requirements, we consider an associated simplified model, [1], and we derive an algorithm for solving numerically the corresponding Euler-Gauss-Ostrogradsky equation of Calculus of Variations. The stability and the convergence of the algorithm are discussed, together with some aspects regarding the statistical modeling, applied in medical imaging.