The Relationship Between Weights and Control Vertices of Two Rational NURBS Curves Representing the Same Curve Parametrically and Geometrically

摘要

The paper discusses the relationship between weights and control vertices of two rational NURBS curves of degree two or three with all weights lager than zero when they represent the same curve parametrically and geometrically,and gives sufficient and necessary conditions for coincidences of two rational NURBS curvbes in non-degeneracy case.