Planar two-point Hermite interpolating log-aesthetic spirals

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• 作者：D.S. Meek ; T. Saito ; D.J. Walton ; N. Yoshida
• 关键词：Log-aesthetic spiral ; Hermite interpolation
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2012
• 出版时间：November, 2012
• 年：2012
• 卷：236
• 期：17
• 页码：4485-4493
• 全文大小：286 K

文摘

Log-aesthetic spirals are currently being studied as fair curves that can be used in computer aided design. A family of planar log-aesthetic spirals that include a point of zero curvature is used in this paper. The two-point Hermite data that is considered has some restrictions on the angles. This paper proves that for any member of the family, a unique segment of that spiral can be found that matches given two-point Hermite data.