Aesthetic curves & surfaces

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Here are some papers connected to log-aesthetic curves and other inherently aesthetic curve and surface representations.

Trig-aesthetic curves

P. Salvi, Generalized catenaries and trig-aesthetic curves. Computer-Aided Design and Applications, Vol. 23(1), pp. 56-67, 2026. DOIBibTeX

  • A generalization of log-aesthetic curves that includes catenaries
  • Trig-aesthetic curves:
    • A curve representation where the curvature is a trigonometric function of the arc length
    • Shape similar to elastica (also used for modeling curve meandering)

P. Salvi, Generalized catenaries and trig-aesthetic curves. Proceedings of the CAD Conference, pp. 6-11, 2025. DOIBibTeX

  • Conference version of the above
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