NURB


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NURB

(NonUniform Rational B-spline) A type of b-spline that is very flexible. NURB curves can represent any shape from a straight line to a circle or ellipse with very little data. They can also be used for guiding animation paths, for approximating data and for controlling the shapes of 3D surfaces. NURBs are known for their ability to control the smoothness of a curve. See spline and b-spline.
References in periodicals archive ?
For comparison between the first order Lagrange element Q4 and the first order NURBS function we have computed the MAC matrix which is illustrated by the following figure.
Tiller, The NURBS Book, Springer, New York, NY, USA, 2nd edition, 1997
Analogously to B-splines, NURBS basis functions on the two-dimensional parametric space [??] = (0,1) x (0,1) are defined as
Path control adopts the NURBS curve fitting method to determine the minimum turning radius of the underwater Robot, so as to realize the rapid and safe navigation of the underwater Robot in water.
Before we conduct NURBS tracking, the consecutive directions along the same pathway have to be extracted.
Choi and Cho [18] calculated the KI factor for a semielliptic crack using the NURBS function in the finite element method (MEF) formulation.
Zhengjin, "Performance evaluation of a real-time interpolation algorithm for NURBS curves," The International Journal of Advanced Manufacturing Technology, vol.
To mimic an actual woven fabric (Figure 3(b)), the positions of the cylinders were controlled by a "peg string" and "NURBS" (nonuniform rational B-spline) curve.
Moreover, the NURBS (nonuniform rational B-spline) surface fitting algorithm guarantees the accuracy of both the positions and shapes of array elements.
Versprille is recognized for publishing the first description of NURBS, the mathematical curve-and-surface formulation, now an international standard in CAD and Computer Graphics.