A nonuniform rationalB-spline surface of degree is defined by

where and are theB-spline basis functions, are control points, and the weight of is the last ordinate of the homogeneous point.

NURBS surfaces are implemented in theWolframLanguage asBSplineSurface[array].

See also

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More things to try:

• Wallis's conical edge
• {{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
• continued fraction sqrt(1+x^2)

Cite this as:

Weisstein, Eric W. "NURBS Surface." FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/NURBSSurface.html

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