A Recursive Subdivision Algorithm for Piecewise Circular Spline
Identifieur interne : 003269 ( Main/Exploration ); précédent : 003268; suivant : 003270A Recursive Subdivision Algorithm for Piecewise Circular Spline
Auteurs : Ahmad H. Nasri ; C. W. A. M. Van Overveld ; Brian Wyvill [Canada]Source :
- Computer Graphics Forum [ 0167-7055 ] ; 2001-03.
English descriptors
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Abstract
We present an algorithm for generating a piecewise G1 circular spline curve from an arbitrary given control polygon. For every corner, a circular biarc is generated with each piece being parameterized by its arc length. This is the first subdivision scheme that produces a piecewise biarc curve that can interpolate an arbitrary set of points. It is easily adopted in a recursive subdivision surface scheme to generate surfaces with circular boundaries with pieces parameterized by arc length, a property not previously available. As an application, a modified version of Doo–Sabin subdivision algorithm is outlined making it possible to blend a subdivision surface with other surfaces having circular boundaries such as cylinders.
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DOI: 10.1111/1467-8659.00473
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For every corner, a circular biarc is generated with each piece being parameterized by its arc length. This is the first subdivision scheme that produces a piecewise biarc curve that can interpolate an arbitrary set of points. It is easily adopted in a recursive subdivision surface scheme to generate surfaces with circular boundaries with pieces parameterized by arc length, a property not previously available. As an application, a modified version of Doo–Sabin subdivision algorithm is outlined making it possible to blend a subdivision surface with other surfaces having circular boundaries such as cylinders.</div></front></TEI><affiliations><list><country><li>Canada</li></country><region><li>Alberta</li></region><settlement><li>Calgary</li></settlement><orgName><li>Université de Calgary</li></orgName></list><tree><noCountry><name sortKey="Nasri, Ahmad H" sort="Nasri, Ahmad H" uniqKey="Nasri A" first="Ahmad H." last="Nasri">Ahmad H. 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