A Recursive Subdivision Algorithm for Piecewise Circular Spline

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dc.contributor.authorNasri, Ahmad H.en_US
dc.contributor.authorVan Overveld, C. W. A. M.en_US
dc.contributor.authorWyvill, Brianen_US
dc.date.accessioned2015-02-16T07:09:40Z
dc.date.available2015-02-16T07:09:40Z
dc.date.issued2001en_US
dc.description.abstractWe 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.en_US
dc.description.number1en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume20en_US
dc.identifier.doi10.1111/1467-8659.00473en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages35-45en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00473en_US
dc.publisherBlackwell Publishers Ltd and the Eurographics Association.en_US
dc.titleA Recursive Subdivision Algorithm for Piecewise Circular Splineen_US
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