2214 B-spline curve/surface interpolation by accelerated geometric algorithm

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  • 2214 幾何処理によるB-spline曲線・曲面補間の高速化(OS4-2 自由曲面モデリング,OS4 デジタルエンジニアリング)

Abstract

B-spline surface interpolation technique by geometric algorithm iteratively updates the control mesh in a global manner based on a simple point-surface distance computation followed by translations of the control vertices along the error vectors. In this paper we introduce two techniques to accelerate the computation of geometric interpolation algorithm. The first acceleration technique employs the method of Lagrange Multipliers, and the second technique uses the Steepest Descent Method. We demonstrate the effectiveness of our proposed methods with some examples.

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