Shape deformation and optimal control

Shape Deformation and Optimal Control

Shape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theory. This point of view can be made independent from the parametrization of the shape, and allows to model general constrained s...

Shape deformation analysis from the optimal control viewpoint

A crucial problem in shape deformation analysis is to determine a deformation of a given shape into another one, which is optimal for a certain cost. It has a number of applications in particular in medical imaging. In this article we provide a new general approach to shape deformation analysis, within the framework of optimal control theory, in which a deformation is represented as the flow of...

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

shape-measure method for solving elliptic optimal shape problems (fixed control case)

Deformation Modeling of Viscoelastic Objects for Their Shape Control

A new approach to the deformation modeling of viscoehwtic objects for their shape control is presented. Manipulative operations of viscoeiastic objects can be found in many industrial fields such as food indust~ and medical product industry. Automatic operations of viscoelastic objects are eagerly requirwd in these jields. Since viscoelastic objects deform during operation processes, it is nece...