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Title of article :
A Recursive Subdivision Algorithm for Piecewise Circular Spline
Author/Authors :
Ahmad H. Nasri، نويسنده , , C. W. A. M. van Overveld ، نويسنده , , Brian Wyvill، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
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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.
Keywords :
Recursive subdivision • NURBS • parameterization • arc length • blending
Journal title :
Computer Graphics Forum
Serial Year :
Link To Document :