The structure of uniform B-spline curves with parameters |
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Authors: | Juan Cao Guozhao Wang |
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Affiliation: | Institute of Image Processing and Computer Graphic,Department of Mathematics,Zhejiang University,Hangzhou 310027,China |
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Abstract: | The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple parameters. Examples show that the proposed basis functions provide more flexibility for curve design. |
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Keywords: | Uniform B-spline Shape parameter Shape-adjustable curve Degree elevation |
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