Splines in motion — An introduction to MODUS and some unresolved approximation problems

Abstract

This paper discusses the application of polynomial spline functions in kinematic design problems for planar motion specification. The architecture of a computer-based design system called MODUS, which uses spline functions, is outlined. The testing and evaluation of the system are discussed and future developments are indicated. Mathematical problems and questions in univariate interpolation, which are very relevant to the application of spline functions in this area, are presented for the consideration of the research community in approximation theory.