Simplified and Flexible Spiral Transitions for Use in Computer Graphics and Geometric Modelling

Authors:
Zulfiqar Habib;Manabu Sakai
Affiliations:
Kagoshima University;Kagoshima University
Venue:
ICIG '04 Proceedings of the Third International Conference on Image and Graphics
Year:
2004

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Cited 2

Fitting G2 multispiral transition curve joining two straight lines

Computer-Aided Design
Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function

Computer Aided Geometric Design

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Abstract

We present the composition of G虏 curves by joining circular arcs and/or straight line segments with cubic Bézier and Pythagorean hodograph quintic spiral transitions. Recent work demonstrates some applications in geometric modelling and a constrained G虏 continuous spiral transition curve that falls within a closed boundary.