Discrete periodic splines with vector coefficients for computer-aided geometric design

摘要

In computeraided geometric design, curves and surfaces are usually represented by means of vector functions of a real argument [1, 2]. The specific of the situation is that only the values of vector functions on a finite set of argument values are taken into account. Therefore, it is natural to assume from the very beginning that curves and surfaces are represented by vector functions defined on some discrete sets.