NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes

NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes
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DOI:
10.1145/1576246.1531352
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发表时间:
2009-07
期刊:
ACM SIGGRAPH 2009 papers
影响因子:
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通讯作者:
T. Cashman;U. Augsdörfer;N. Dodgson;M. Sabin
T. Cashman;U. Augsdörfer;N. Dodgson;M. Sabin
中科院分区:
其他
文献类型:
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作者:
T. Cashman;U. Augsdörfer;N. Dodgson;M. Sabin

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We present a subdivision framework that adds extraordinary vertices to NURBS of arbitrarily high degree. The surfaces can represent any odd degree NURBS patch exactly. Our rules handle non-uniform knot vectors, and are not restricted to midpoint knot insertion. In the absence of multiple knots at extraordinary points, the limit surfaces have bounded curvature.