Anisotropic deformation for local shape 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...

A Generic Local Deformation Model for Shape Registration

In this paper, we propose a new surface registration approach using a generic deformation model, which is efficient to compute and flexible to represent arbitrary local shape deformations. From Riemannian geometry, local deformation at each point of a surface can be characterized by the eigenvalues of a special transformation matrix between two canonically parameterized domains. This local tran...

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...

Eggs illusion: Local shape deformation generated by a grid pattern.

In this study, we report a new visual shape illusion, the eggs illusion, in which circular disks located at the midpoints between adjacent grid intersections are perceived as being deformed to ellipses. In Experiment 1, we examined the eggs illusion by using a matching method and found that grid luminance and patch size play a critical role in producing the illusory deformation. In Experiment 2...

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