Scattered matter

Image Warping with Scattered

Image warping has many applications in art as well as in image processing. Usually, displacements are computed with mathematical functions or by transformations of a triangulation of control points. Here, di erent approaches based on scattered data interpolation methods are presented. These methods provide smooth deformations with easily controllable behavior. The usefulness and performance of ...

Grammars with Scattered Nonterminals

Convex Preserving Scattered Data

We use bivariate C 1 cubic splines to deal with convexity preserving scattered data interpolation problem. Using a necessary and suucient condition on Bernstein-B ezier polynomials, we set the convexity preserving interpolation problem into a quadratically constraint quadratic programming problem. We show the existence of convexity preserving interpolatory surfaces under certain conditions on t...

Scattered Spaces 3

Uniformly scattered factors

A word u appears as a factor of another word v as it is; in one piece. When u is a subword of v, u may be scattered as several factors. We consider the in-between case and put some restrictions on the number of factors as which u is allowed to be scattered. A large class of partial orders which are generalizations of factors and subwords is obtained. For all of them, the property of being well ...