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《College Mathematics》 2015-01
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Research on Smooth Connection between CE-Bézier Curves and Quadratic B-spline Curves

HONG Ling;XING Yan;School of Mathematic,Hefei University of Technology;  
Based on the theory of curvessmooth connection,the paper researched the connection problem between Bézier curves with multiple shape parameters(CE-Bézier)and uniform B-spline curves,through converting B-spline curves to Bézier representation.The necessary and sufficient conditions of G0,G1,G2 splicing between CE-Bézier curves and uniform B-spline curves were proposed.After meeting the splicing conditions,by changing the shape parameters of CE-Bézier curve,the shape of the stitching curve can be adjusted flexibly.
【Fund】: 国家自然科学基金青年基金(61100126);; 安徽省自然科学基金(1308085MA09);; 合肥工业大学横向课题(JY13-014)
【CateGory Index】: TP391.7
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【Citations】
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