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This paper deals with the study of the interpolation of a bidirectional B-spline curve network by both biquadratic tensor product B-spline surfaces and quadratic B-spline surfaces on criss-cross triangulations, with the aim of simulating discontinuities in the gradient and even in the surface itself. An algorithm for such a construction is proposed and graphical results show the performance of the method.

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Curve Network Interpolation by Unequally Smooth Quadratic B-Spline Surfaces with Free Parameters

  • 会议论文

  • 发表日期：

    2025年

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  • Paola Lamberti,
  • Sara Remogna

摘要

This paper deals with the study of the interpolation of a bidirectional B-spline curve network by both biquadratic tensor product B-spline surfaces and quadratic B-spline surfaces on criss-cross triangulations, with the aim of simulating discontinuities in the gradient and even in the surface itself. An algorithm for such a construction is proposed and graphical results show the performance of the method.