A deformation of Einstein Gravity is constructed based on gauging the noncommutative ISO(3, 1) group using the Seiberg-Witten map. The transformation of the star product under diffeomorphism is given, and the action is determined to second order in the deformation parameter.

We introduce a new algorithm for fitting a Catmull-Clark subdivision surface to a given shape within a prescribed tolerance, based on the method of quasi-interpolation. The fitting algorithm is fast, local and scalable since it does not require the solution of linear systems. Its convergence rate is optimal for regular meshes and our experiments show that it behaves very well for irregular mesh...

To investigate conjoint stimulus control over place cells, Fenton et al. (J Gen Physiol 116:191-209, 2000a) recorded while rats foraged in a cylinder with 45 degrees black and white cue cards on the wall. Card centers were 135 degrees apart. In probe trials, the cards were rotated together or apart by 25 degrees . Firing field centers shifted during these trials, stretching and shrinking the co...

A linear deformation of a Meyer set M in R is the image of M under a group homomorphism of the group [M ] generated by M into R. We provide a necessary and sufficient condition for such a deformation to be a Meyer set. In the case that the deformation is a Meyer set and the deformation is injective, the deformation is pure point diffractive if the orginal set M is pure point diffractive. AMS Cl...

One of the techniques in digital geometry processing that has been studied for many years is mesh deformation. Recently, researchers have proposed deformation methods that preserve certain aspects of the mesh, such as geometric features and material properties. In this project we look at preserving developability of a surface. Specifically, if it is known that a surface is developable before de...

In this paper, we propose a new framework for the representation of deforming meshes by only updating necessary changes of the connectivity. The deforming meshes, which is also known as time-varying surfaces, are often constructed with static connectivity. To progressively represent the deforming meshes with level-of-details, people can simplify the meshes independently to obtain good simplific...