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Non-uniform B-spline curveswith multiple shape parameters

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Abstract

We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user’s perspective.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Juan Cao

  2. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Guo-zhao Wang

Authors
  1. Juan Cao
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  2. Guo-zhao Wang
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Correspondence to Juan Cao.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 60970079, 60933008, 61100105, and 61100107), the Natural Science Foundation of Fujian Province of China (No. 2011J05007), and the National Defense Basic Scientific Research Program of China (No. B1420110155)

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Cao, J., Wang, Gz. Non-uniform B-spline curveswith multiple shape parameters. J. Zhejiang Univ. - Sci. C 12, 800–808 (2011). https://doi.org/10.1631/jzus.C1000381

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  • DOI: https://doi.org/10.1631/jzus.C1000381

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