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Full-Text Articles in Physical Sciences and Mathematics
Rational Cubic B-Spline Interpolation And Its Applications In Computer Aided Geometric Design, Kotien Wu
Rational Cubic B-Spline Interpolation And Its Applications In Computer Aided Geometric Design, Kotien Wu
Mathematics & Statistics Theses & Dissertations
Because of the flexibility that the weights and the control points provide, NURBS have recently become very popular tools for the design of curves and surfaces. If the weights are positive then the NURB will lie in the convex hull of its control points and will not possess singularities. Thus it is desirable to have positive weights.
In utilizing a NURB a designer may desire that it pass through a set of data points {xi} This interpolation problem is solved by the assigning of weights to each data point. Up to now little has been known regarding the …