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NURBSNon-Uniform Rational B-Spline (mathematical algorithm used in computer graphics especially CAD)
NURBSNon Uniform Rational B-Spline
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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.
Huang, "Fast real-time NURBS path interpolation for CNC machine tools," International Journal of Machine Tools & Manufacture, vol.
Caption: Figure 3: Procedure for weave structure modeling using NURBS. (a) Cylinder models for core and cladding representation [1]; (b) target fabric weave structure; (c) weave peg string input (dashed: weft, solid: warp direction); (d) initial NURBS control points (for warp); (e) adjustment of control points using peg string; (f) final crimp structure.
[24] studied the benefits of using the NURBS functions by applying the X-FEM method with the main objective of validating the X-IGA method.
In contrast to constructing the digital model of single tooth surface, NURBS surface is used to construct the error tooth surface model of modified involute gears in this paper.
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering 194(39): 4135-4195.
Useful for shaping large-scale smooth surfaces with relatively few control vertices, NURBS are experts in constructing industrial surfaces and organic flow surfaces (Figure 1).