Deformation Grammars: Hierarchical Constraint Preservation Under Deformation

Deformation With Hierarchical B-Splines

Deformation has received wide attention in the eld of Computer Graphics, Computer Vision and Image Processing. This paper describes a new method which is based on the concept of hierarchical BSplines. Compared with existing methods, our approach is adaptive in that it puts more e ort in complex regions which need more attention. It also provides an elegent tool for curve or surface matching tog...

Motion of Particles under Pseudo-Deformation

In this short article, we observe that the path of particle of mass $m$ moving along $mathbf{r}= mathbf{r}(t)$ under pseudo-force $mathbf{A}(t)$, $t$ denotes the time, is given by $mathbf{r}_d= int(frac{dmathbf{r}}{dt} mathbf{A}(t)) dt +mathbf{c}$. We also observe that the effective force $mathbf{F}_e$ on that particle due to pseudo-force $mathbf{A}(t)$, is given by $ mathbf{F}_e= mathbf{F} mat...

Cusp Shapes under Cone Deformation

A horospherical torus about a cusp of a hyperbolic manifold inherits a Euclidean similarity structure, called a cusp shape. We bound the change in cusp shape when the hyperbolic structure of the manifold is deformed via cone deformation preserving the cusp. The bounds are in terms of the change in structure in a neighborhood of the singular locus alone. We then apply this result to provide info...

Wave dispersion under finite deformation

We derive exact dispersion relations for axial and flexural elastic wave motion in a rod and a beam under finite deformation. For axial motion we consider a simple rod model, and for flexural motion we employ the EulerBernoulli kinematic hypothesis and consider both a conventional transverse motion model and an inextensional planar motion model. The underlying formulation uses the Cauchy stress...

Erythrocyte deformation under shear flow.