Modification of cubic bézier spirals for curvature linearity

IEICE Transactions on Information and Systems Volume E90D Issue 1 Page 364-370 published_at 2007
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Title ( eng )
Modification of cubic bézier spirals for curvature linearity
Creator
Harada Koichi
Usui Hidekazu
Nishi Koichiro
Source Title
IEICE Transactions on Information and Systems
Volume E90D
Issue 1
Start Page 364
End Page 370
Abstract
We propose the extended Bézier spiral in this paper. The spiral is useful for both design purposes and improved aesthetics. This is because the spiral is one of the Bézier curves, which play an important role in interactive curve design, and because the assessment of the curve is based on the human reception of the curve. For the latter purpose we utilize the logarithmic distribution graph that quantifies the designers' preferences. This paper contributes the unification of the two different curve design objectives (the interactive operation and so called "eye pleasing" result generation); which have been independently investigated so far.
Keywords
spirals
curvature variation
clothoid
Bézier curve
volume of a curve
transition curve
NDC
Physics [ 420 ]
Language
eng
Resource Type journal article
Publisher
電子情報通信学会
Date of Issued 2007
Rights
Copyright (c) 2007 The Institute of Electronics, Information and Communication Engineers
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0916-8532
[DOI] 10.1093/ietisy/e90-1.1.364
[NCID] AA10826272
[DOI] http://dx.doi.org/10.1093/ietisy/e90-1.1.364