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复杂曲线曲面B-样条插值中的重顶点方法

AN OVERLAP FEATURE VERTEX METHODS FOR B-SPLINE INTERPOLATION TO GENERATING COMPLEX CURVES AND SURFACES

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【Author】 Pan Yongjuan Xu Xiaogang Man JiajuDepartment of Mathematic, Technology University of Zhejiang, Hangzhou, China 310000; State Key Lab. of CAD/CG, Zhejiang University, Hangzhou, China 310027

【机构】浙江工业大学数学系；浙江大学CAD＆CG国家重点实验室；

【摘要】全面分析了在三次B-样条插值曲线曲面中重型值点对控制顶点的影响,引入重顶点方法,结合重型值点和重节点技术,给出了构造夹有尖点和夹有直线段的三次B-样条插值曲线以及夹有尖点、尖边和夹有平面片的双三次B-样条插值曲面的新的简明算法.此方法不但大大提高了传统算法的效率,而且大大简化了编程,已在实际系统中得到了验证、应用,有着广泛的应用前景.更多还原

【Abstract】 Analyzed repetitive feature points affection to the control vertexes in the application of three order B-spline curve and surface interpolate. Introducing repetitive vertexes method, combining superposition of feature point and node, it gives a brief arithmetic which process the curve containing peaky points and lines or surface containing peaky edges and planes. The arithmetic is faster to conventional arithmetic , and let programming brief. With broad appliance in the future, It has been applied in several system.更多还原

【关键词】三次B-样条；插值曲线；插值曲面；多重型值点；
【Key words】 three order B_spline； interpolated curves； interpolated surface； overlap feature vertex；

【会议录名称】中国图象图形学会第十届全国图像图形学术会议（CIG’2001）和第一届全国虚拟现实技术研讨会（CVR’2001）论文集

【会议名称】中国图象图形学会第十届全国图像图形学术会议（CIG’2001）和第一届全国虚拟现实技术研讨会（CVR’2001）

【会议时间】2001-05
【分类号】TP391.7

【主办单位】中国工程图学学会

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