X3D NURBS
These are references useful for implementors and users of the X3D NURBS component.
A primary reference for NURBS curves and surfaces is: L Peigl and W Tiller, The NURBS Book, Springer-Verlag 2nd Ed. 1997. See the Solid Modeling Solutions site for further information on this resource.
NURBS example X3D models
- Basic X3D Examples Archive - NURBS and support screenshots
- NURBS Patch Surface demonstration scenes and explanations for implementations by Vincent Marchetti
- NURBS Trimmed Surface shows 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 homogeneous, space. See the standards document ISO 10303-42:1998(E) section 4.4.70
X3D Browser Evaluation PDF, Oct 2012: A summary of the state of X3D browsers' rendering of NurbsPatchSurface and NurbsTrimmedSurface nodes.
jGeom is an open-source java geometry graphics library using NURBS that might be useful.