What does NURBS stand for?

What does NURBS stand for?

• A. Non-Uniform Rational B-Splines
• B. Non-Uniform Rational Basis Splines
• C. Uniform Rational B-Splines
• D. Non-Uniform Real Basis Splines

Answer: (A)

Non-Uniform Rational B-Splines describes a curve and surface representation that uses three key ideas: a knot vector that can be spaced unevenly (non-uniform), weights attached to control points (rational), and a B-spline basis that provides smooth, locally controlled shaping. The non-uniform knot spacing gives you fine control where you need it, without forcing changes everywhere. The rational part, through weights, lets you represent exact shapes like circles and ellipses and fine-tune how much each control point influences the curve. The B-spline basis ensures smooth transitions and local influence, so editing a point affects only a portion of the geometry. This combination is what makes NURBS flexible and precise for modeling in 3D software. The other phrasings mix terms (like using Basis Splines instead of B-Splines), or swap Uniform for Non-Uniform, or drop the Rational aspect, which would lose essential characteristics of NURBS.

Non-Uniform Rational B-Splines describes a curve and surface representation that uses three key ideas: a knot vector that can be spaced unevenly (non-uniform), weights attached to control points (rational), and a B-spline basis that provides smooth, locally controlled shaping. The non-uniform knot spacing gives you fine control where you need it, without forcing changes everywhere. The rational part, through weights, lets you represent exact shapes like circles and ellipses and fine-tune how much each control point influences the curve. The B-spline basis ensures smooth transitions and local influence, so editing a point affects only a portion of the geometry. This combination is what makes NURBS flexible and precise for modeling in 3D software. The other phrasings mix terms (like using Basis Splines instead of B-Splines), or swap Uniform for Non-Uniform, or drop the Rational aspect, which would lose essential characteristics of NURBS.