“NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes” by Cashman, Augsdörfer, Dodgson and Sabin

  • ©Thomas J. Cashman, Ursula H. Augsdörfer, Neil A. Dodgson, and Malcolm Sabin




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



    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.


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