X3D NURBS

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These are references useful for implementors and users of the NURBS component.

A standard reference for NURBS curves and surfaces is: L Peigl and W Tiller, The NURBS Book, Springer-Verlag 2nd Ed. 1997

NURBS example X3D models

  • NURBS Patch Surface demonstration scenes and explanations for implementations by Vincent Marchetti
  • NURBS Trimmed Surface Examples of NurbsTrimmedSurface node with internal trimming curves by Vincent Marchetti

Michalis Kamburelis has summarized the use of weights and control points in X3D. Note that the X3D terminology is different from the terminology used in the STEP standard. As specified in Part 42 of the STEP (ISO 10303) the "control points" attribute of a b-spline (including nurbs) entity contains the coordinates a point in real, not homegeneous, space. See the standards document ISO 10303-42:1998(E) section 4.4.70