By Patria Dobbins
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Additional resources for 3D Rendering In Computer Graphics
In modelling, it allows the changing of one part of a surface while keeping other parts equal. Adding more control points allows better approximation to a given curve, although only a certain class of curves can be represented exactly with a finite number of control points. NURBS curves also feature a scalar weight for each control point. This allows for more control over the shape of the curve without unduly raising the number of control points. In particular, it adds conic sections like circles and ellipses to the set of curves that can be represented exactly.
For each original point P, take the average F of all n face points for faces touching P, and take the average R of all n edge midpoints for edges touching P, where each edge midpoint is the average of its two endpoint vertices. Move each original point to the point (This is the barycenter of P, R and F with respective weights (n-3), 2 and 1. ) The new mesh will consist only of quadrilaterals, which won't in general be planar. The new mesh will generally look smoother than the old mesh. Repeated subdivision results in smoother meshes.
Today most professional computer graphics applications available for desktop use offer NURBS technology, which is most often realized by integrating a NURBS engine from a specialized company. Use NURBS are commonly used in computer-aided design (CAD), manufacturing (CAM), and engineering (CAE) and are part of numerous industry wide used standards, such as IGES, STEP, ACIS, and PHIGS. NURBS tools are also found in various 3D modeling and animation software packages, such as form•Z, Blender, Maya, Rhino3D, Cinema 4D, Cobalt, Shark FX, and Solid Modeling Solutions.
3D Rendering In Computer Graphics by Patria Dobbins