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Degree, M.

open access: yes, 2016
Degree, M.
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Algorithm for degree reduction of B-spline curves

Computer-Aided Design, 1995
This paper presents -- in continuation of the authors' previous work on degree elevation [ibid. 19, No. 9, 485-498 (1987; Zbl 0655.65012)] -- an algorithm for degree reduction of a given \(B\)-spline-curve. The three main steps of the new algorithm are: Decomposition of the given \(B\)- spline into Bézier pieces; degree reduction of each Bézier piece ...
Les A. Piegl, Wayne Tiller
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Degree reduction of Bézier curves

Computer-Aided Design, 1988
Degree reduction of Bézier curves and surfaces is a process that amounts to approximating a polynomial of degree n by one of degree ...
Watkins, M. A., Worsey, A. J.
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Degree reduction of NURBS curves

open access: yesThe International Journal of Advanced Manufacturing Technology, 2005
Higher degree curves are used in applications because they are easier to manipulate interactively but require heavy computation. Most of the equations for curves used popularly in CAD software are of degree 2 and 3, because two curves of degree 3 can guarantee 2nd derivative continuity at the connection point.
Yuan-Lung Lai   +3 more
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