Planar two-point G1 Hermite interpolating log-aesthetic spirals

• Autores: D. S. Meek, T. Saito, D. J. Walton, N. Yoshida
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 236, Nº 17, 2012, págs. 4485-4493
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.04.021
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• Resumen

  • 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 G1 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 G1 Hermite data.