Approaches for constrained parametric curve interpolation

Authors:
Cai Ming Zhang;Xing Qiang Yang;Jia Ye Wang
Affiliations:
School of Computer Science and Technology, Shandong University, Jinan 250100, P.R. China;School of Computer Science and Technology, Shandong University, Jinan 250100, P.R. China;School of Computer Science and Technology, Shandong University, Jinan 250100, P.R. China
Venue:
Journal of Computer Science and Technology
Year:
2003

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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.