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  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.