ACGのためのRBF関数の応用

抄録

"In this paper we present an overview of geometric deformation techniques based on using radial based functions (RBFs). A challenging goal in computer graphics (CG) and computer aided design (CAD) is to provide powerful technique for modeling the shape of an object. Indeed, when we are using only generic properties such as position of a point of the object that is deformed the problem of constructing smooth surface satisfying certain constrains can be formulated as a mapping function from R^3 to R^3. Such space mapping techniquebased on RBFs is a powerful tool, which offers simple and quite general control of simulated shapes. In general, a model of extended space mapping incorporates geometric space mappings and function mappings. A comprehensive overview of related works, problems and limitations are given in the report. The approach is illustrated by CG and CAD examples."