Estimation of motion through inverse finite element methods with triangular meshes

Abstract

This paper presents algorithms to implement the estimation of motion, focusing on the finite element method as a framework for the development of techniques. The finite element approach has the advan-tages of a rigorous mathematical formulation, speed of reconstruction, conceptual simplicity and ease of implementation via well-established finite element procedures in comparison to finite volume or finite difference techniques. The finite element techniques are implemented as a triangu-lar discretisation, and preliminary results are presented. An important advantage is the capacity to tackle problems in which non-uniform sam-pling of the image sequence is appropriate, which will be addressed in future work.