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Mathematical Progress in Expressive Image Synthesis IIIAesthetic Design with Log-Aesthetic CurvesLog-aesthetic curve and SurfacesLog-aesthetic curve and surface

Mathematical Progress in Expressive Image Synthesis III: Aesthetic Design with Log-Aesthetic... [Bézier, B-Spline and NURBS are de facto flexible curves developed for various design intent. However, these curves possess complex curvature function complicating the process of aesthetic shape design. In order to shorten the process, we introduce the fundmental equations of aesthetic curves and surfaces. This paper elaborates on the technicalities of Log-Aesthetic (LA) curves and surfaces along with its practical application for industrial design. It is anticipated that the emerging LA curves and surfaces have good prospects to be the standards for designing aesthetic shapes.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Progress in Expressive Image Synthesis IIIAesthetic Design with Log-Aesthetic CurvesLog-aesthetic curve and SurfacesLog-aesthetic curve and surface

Part of the Mathematics for Industry Book Series (volume 24)
Editors: Dobashi, Yoshinori; Ochiai, Hiroyuki
Miura, Kenjiro T.; Gobithaasan, R. U.
Mathematical Progress in Expressive Image Synthesis III — May 22, 2016
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Publisher
Springer Singapore
Copyright
© Springer Science+Business Media Singapore 2016
ISBN
978-981-10-1075-0
Pages
107 –119
DOI
10.1007/978-981-10-1076-7_12
Publisher site
See Chapter on Publisher Site

Abstract

[Bézier, B-Spline and NURBS are de facto flexible curves developed for various design intent. However, these curves possess complex curvature function complicating the process of aesthetic shape design. In order to shorten the process, we introduce the fundmental equations of aesthetic curves and surfaces. This paper elaborates on the technicalities of Log-Aesthetic (LA) curves and surfaces along with its practical application for industrial design. It is anticipated that the emerging LA curves and surfaces have good prospects to be the standards for designing aesthetic shapes.]

Published: May 22, 2016

Keywords: Fair curves and surfaces; Log-aesthetic curve and surface; General equations of aesthetic curves; Logarithmic curvature graph

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