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Geometry and tool motion planning for curvature adapted CNC machining
CNC machining is the leading subtractive manufacturing technology. Although it is in use since decades, it is far from fully solved and still a rich source for challenging problems in geometric computing. We demonstrate ...
Characterizing envelopes of moving rotational cones and applications in CNC machining
Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a one-parametric family of congruent rotational cones. As limit cases, we also address ruled surfaces and their ...
Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
We propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the ...
Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution
We introduce a new method that approximates free-form surfaces by envelopes of one-parameter motions of surfaces of revolution. In the context of 5-axis computer numerically controlled (CNC) machining, we propose a flank ...