JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (6): 102-110.doi: 10.6040/j.issn.1671-9352.0.2021.613

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Reconstruction of rational polynomial Coons surface patches throuth Bézier triangular geodesic

WANG Shu-juan, YANG Huo-gen*, CHAI Ying   

  1. Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, Jiangxi, China
  • Published:2022-06-10

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Abstract: For the quintic Bézier triangular curve that satisfies certain constraints, four rational polynomial Coons surfaces which interpolate the triangular curve as the geodesics is proposed. Firstly, the corner compatibility constraints of the cross-boundary tangent vector of the interpolated surface along the boundary geodesics are analyzed. Secondly, based on the rational Hermite polynomial basis represented by the barycentric coordinate, the interpolation operator for interpolating two adjacent boundary geodesics is designed. Finally, the construction scheme of rational polynomial Coons surface for interpolating triangular geodesics is presented. The construction algorithm of Coons surface through Bézier triangular geodesics proposed in this paper is simple and easy to implement, and the calculation results show the feasibility of the algorithm.

Key words: geodesic, triangular domain, Coons surface, reconstruction

CLC Number: 

  • O241
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