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Approaches for Constrained Parametric Curve Interpolation
作者姓名:张彩明  杨兴强  汪嘉业
作者单位:SchoolofComputerScienceandTechnology,ShandongUniversity,Jinan250100,P.R.China
基金项目:This work is supported by the National Natural Science Foundation of China (Grant No.60173052) and the Shandong Province Natural Science Foundation (Grant No.Z2001G01).
摘    要:The construction of a GCx cubic interpolating curve that lies on the same side of a given straight line as the data points is studied. The main task is to choose appropriate approaches to modify tangent vectors at the data points for the desired curve. Three types of approaches for changing the magnitudes of the tangent vectors axe presented. The first-type approach modifies the tangent vectors by applying a constraint to the curve segment. The second one does the work by optimization techniques. The third one is a modification of the existing method. Three criteria are presented to compare the three types of approaches with the existing method. The experiments that test the effectiveness of the approaches are included.

关 键 词:计算机辅助设计  约束插值法  多项式曲线  排队约束

Approaches for Constrained Parametric Curve Interpolation
Zhang CaiMing , Yang XingQiang and Wang JiaYe.Approaches for Constrained Parametric Curve Interpolation[J].Journal of Computer Science and Technology,2003,18(5):0-0.
Authors:Zhang CaiMing  Yang XingQiang and Wang JiaYe
Institution:(1) School of Computer Science and Technology, Shandong University, 250100 Jinan, P.R. China
Abstract:The construction of a GC1 cubic interpolating curve that lies on the same side of a given straight line as the data points is studied. The main task is to choose appropriate approaches to modify tangent vectors at the data points for the desired curve. Three types of approaches for changing the magnitudes of the tangent vectors are presented. The first-type approach modifies the tangent vectors by applying a constraint to the curve segment. The second one does the work by optimization techniques. The third one is a modification of the existing method. Three criteria are presented to compare the three types of approaches with the existing method. The experiments that test the effectiveness of the approaches are included.
Keywords:computer aided geometric design  constrained interpolation  polynomial curve  straight line constraint
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