The Relationship Between Weights and Control Vertices of Two Rational NURBS Curves Represe

The Relationship Between Weights and Control

Vertices of Two Rational NURBS Curves Representing the Same Curve Parametrically and

Geometrically

冯仁忠;王仁宏;等

【期刊名称】《东北数学：英文版》 【年(卷),期】2003(019)001

【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. 【总页数】7页(P.68-74)

【关键词】权;控制顶点;NURBS曲线;几何;参数;计算机辅助设计;Bezier曲线;表示方法;B样条曲线 【作者】冯仁忠;王仁宏;等 【

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InstituteofMoathematicalSciences,DalinaUniversityofTechnology,Dalian,116024;InstituteofMoathematicalSciences,DalinaUniversityofTechnology,Dalian,116024 【正文语种】英文