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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 ...
Surfaces of a non-uniform rational B-spline (NURBS)-based phantom are defined by NURBS equations which are formulated by a set of control points. The shape and volume of a NURBS surface vary with the coordinates of control points. This feature is useful in designing a time-dependent 4D human body modeling. [34]
Isogeometric analysis is a computational approach that offers the possibility of integrating finite element analysis (FEA) into conventional NURBS-based CAD design tools. . Currently, it is necessary to convert data between CAD and FEA packages to analyse new designs during development, a difficult task since the two computational geometric approaches are diffe
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 ]
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.
Rational motions are defined by rational functions (ratio of two polynomial functions) of time. They produce rational trajectories , and therefore they integrate well with the existing NURBS (Non-Uniform Rational B-Spline) based industry standard CAD/CAM systems.