论文信息 - Optimised biarc curves with tension

Optimised biarc curves with tension

Parkinson, D.B., Optimised biarc curves with tension, Computer Aided Geometric Design 9 (1992) 207-218. The use of sets of two circular arcs (biarcs) to describe a curve, defined by a finite number of data points (knots) is considered. A previous solution to this problem is extended by the determination of the optimum pair of arcs between any two knots. Gradients at the given data points are determined by an efficient linearised approximation to a minimum strain energy solution, which is modified to include fiied end gradients and the effects of applying tension to the fitted curve and to individual panels. The use of biarcs to fit smooth curves for contour machining permits the use of the circular interpolation facility generally available on CNC machine tools.

D. B. Parkinson | D. Parkinson

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