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- W2073607318 abstract "Circular arc interpolation is essential in manufacturing of curve contours. However, the problems of how to determine the parameters of the circular arcs and how to minimize the number of arcs according to desired interpolation accuracy have not been completely solved. This paper presents a new algorithm of circular arc interpolation for planar curves. It is based on the principle of minimax approximation. The algorithm has three features which include: (1) the interpolation error is minimax in any spiral segment of the curve, tangent-continuous at the joints of two spiral segments and satisfies the desired accuracy; (2) the parameters of the circular arcs depend on the desired accuracy and the number of arcs is fewest; (3) the circular arcs are compatible with the curve in concavity and convexity, and have almost the same radius of curvature, in other words, the interpolation looks very smooth and natural. Experimental trials show the algorithm is simple and robust for the application to NC contour manufacturing. The trials are carried out on producing the contour of a planar cam and a quadratic NURBS curve." @default.
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- W2073607318 date "1997-11-01" @default.
- W2073607318 modified "2023-10-18" @default.
- W2073607318 title "Optimal circular arc interpolation for NC tool path generation in curve contour manufacturing" @default.
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- W2073607318 doi "https://doi.org/10.1016/s0010-4485(97)00019-5" @default.
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