G-Prime B-Spline Manipulation Package Basic Mathematical Subroutines.

摘要

This report describes a library of mathematical subroutines for defining and operating on B-spline curves and surfaces. This library contains subroutines for evaluating B-spline functions,for using B-splines as a basis for fitting curves and surface data,and for finding the intersections of B-spline curves and surfaces. An explanation of the general theory, a summary of important properties,and detailed operating instructions for each subroutine are given. A program illustrating a typical use of the basic subroutines has been included along with computer-generated plots of B-spline surfaces and intersection curves. Although the basic evaluation subroutines use previously published techniques,the fitting and intersection procedures represent effective new approaches to the treatment of these old problems. (Author)