Abstract
A method is proposed for generating tool centre paths with an accuracy equal to the resolution of the machine tool. The method exploits the properties of Bertrand curves and surfaces, to generate tool motion which secures the desired degree of continuity in the machined contour or surface. It is shown that for cubic splines or bicubic patches, accurate tool motion can be generated by a fast DDA-like (Digital Differential Analyser) digital integration scheme, which reduces integration to successive additions. Accuracy is achieved by eliminating the integration error inherent in DDA.
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