On the Variety of Planar Spirals and Their Applications in Computer Aided Design

In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very s...

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Bibliographic Details
Main Authors:	Kenjiro T. Miura, Rushan Ziatdinov
Format:	Article
Language:	Russian
Published:	Academic Publishing House Researcher 2012-08-01
Series:	Evropejskij Issledovatelʹ
Subjects:	spiral pseudospiral log-aesthetic curve LAC GLAC superspiral multispiral fair curve monotone curvature high-quality curve aesthetic design gamma function transition curve fillet modelling spline computer aided geometric design.
Online Access:	http://www.erjournal.ru/pdf.html?n=1345307278.pdf

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spelling	doaj-3974e94a8cb2451daa9a21ae70a517402020-11-24T22:38:32ZrusAcademic Publishing House ResearcherEvropejskij Issledovatelʹ2219-82292224-01362012-08-01278-212271232On the Variety of Planar Spirals and Their Applications in Computer Aided DesignKenjiro T. MiuraRushan ZiatdinovIn this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic splines.http://www.erjournal.ru/pdf.html?n=1345307278.pdfspiralpseudospirallog-aesthetic curveLACGLACsuperspiralmultispiralfair curvemonotone curvaturehigh-quality curveaesthetic designgamma functiontransition curvefillet modellingsplinecomputer aided geometric design.
collection	DOAJ
language	Russian
format	Article
sources	DOAJ
author	Kenjiro T. Miura Rushan Ziatdinov
spellingShingle	Kenjiro T. Miura Rushan Ziatdinov On the Variety of Planar Spirals and Their Applications in Computer Aided Design Evropejskij Issledovatelʹ spiral pseudospiral log-aesthetic curve LAC GLAC superspiral multispiral fair curve monotone curvature high-quality curve aesthetic design gamma function transition curve fillet modelling spline computer aided geometric design.
author_facet	Kenjiro T. Miura Rushan Ziatdinov
author_sort	Kenjiro T. Miura
title	On the Variety of Planar Spirals and Their Applications in Computer Aided Design
title_short	On the Variety of Planar Spirals and Their Applications in Computer Aided Design
title_full	On the Variety of Planar Spirals and Their Applications in Computer Aided Design
title_fullStr	On the Variety of Planar Spirals and Their Applications in Computer Aided Design
title_full_unstemmed	On the Variety of Planar Spirals and Their Applications in Computer Aided Design
title_sort	on the variety of planar spirals and their applications in computer aided design
publisher	Academic Publishing House Researcher
series	Evropejskij Issledovatelʹ
issn	2219-8229 2224-0136
publishDate	2012-08-01
description	In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic splines.
topic	spiral pseudospiral log-aesthetic curve LAC GLAC superspiral multispiral fair curve monotone curvature high-quality curve aesthetic design gamma function transition curve fillet modelling spline computer aided geometric design.
url	http://www.erjournal.ru/pdf.html?n=1345307278.pdf
work_keys_str_mv	AT kenjirotmiura onthevarietyofplanarspiralsandtheirapplicationsincomputeraideddesign AT rushanziatdinov onthevarietyofplanarspiralsandtheirapplicationsincomputeraideddesign
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On the Variety of Planar Spirals and Their Applications in Computer Aided Design

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