A NURBS curve generation based on line segments

Abstract

We have developed a method to generate a NURBS curve based on line segments. A NURBS curve is generated by giving the positions and the directions on the concatenated line segments. According to the number of line segments and control points of the NURBS curve, the system to be solved may be underdetermined or overdetermined. The methods to solve these systems are shown. In addition to these, a NURBS curve generation example based on the line segments is shown.