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.
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.
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.
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.