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Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing curves and surfaces. It offers great flexibility and precision for handling both analytic (defined by common mathematical formulae ) and modeled shapes .
The development of non-uniform rational B-spline (NURBS) originated with seminal work at Boeing and Structural Dynamics Research Corporation in the 1980s and 1990s, a company that led in mechanical computer-aided engineering (CAE) in those years. [1]
NURBS curve – polynomial curve defined in homogeneous coordinates (blue) and its projection on plane – rational curve (red) In computer aided design, computer aided manufacturing, and computer graphics, a powerful extension of B-splines is non-uniform rational B-splines (NURBS). NURBS are essentially B-splines in homogeneous coordinates ...
Computer-aided design systems often use an extended concept of a spline known as a Nonuniform rational B-spline (NURBS). If sampled data from a function or a physical object is available, spline interpolation is an approach to creating a spline that approximates that data.
NURBS are an extension of B-splines, so everything to do with the basis functions and the knots really belongs on B-spline (unless I'm mistaken and regular B-splines don't include non-uniform knots). My understanding is that non-uniform knot vectors are a part of B-splines and so the difference between B-splines and NURBS is that NURBS are ...
In computer graphics, non-uniform rational mesh smooth (NURMS) or subdivision surface technique is typically applied to a low-polygonal mesh to create a high-polygonal smoothed mesh. Usage [ edit ]
Power Surfacing uses subdivision surface (Sub-D) modeling and Non-uniform rational B-spline (NURBS) modeling methods together, to provide a flexible and intuitive way of designing organic shapes with high quality class A surfaces. [1]
Autodesk Alias (formerly known as Alias StudioTools) is a family of computer-aided industrial design (CAID) software predominantly used in automotive design and industrial design for generating class A surfaces using Bézier surface and non-uniform rational B-spline (NURBS) modeling method.