Abstract
Non-planar driving mirrors have a complex geometry, which is defined by a base surface (the so-called calotte) and a planar contour. We describe and compare methods for generating NC tool paths for a calotte cutting machine from these data. The methods are based on piecewise circular arcs and on polynomial spline curves. Distance bounds for the resulting tool paths, which are needed in order to check the accuracy, are also discussed. The paper concludes with suggestions for research on the use of Pythagorean hodograph curves in industrial NC tool path generation.
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