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This paper proposes a robust algorithmic and computational framework toaddress the problem of modeling the volume obtained by sweeping a solid along atrajectory of rigid motions. The boundary representation (simply brep) of theinput solid naturally induces a brep of the swept volume. We show that it islocally similar to the input brep and this serves as the basis of theframework. All the same, it admits several intricacies: (i) geometric, in termsof parametrizations and, (ii) topological, in terms of orientations. We providea novel analysis for their resolution. More specifically, we prove anon-trivial lifting theorem which allows to locally orient the output using theorientation of the input. We illustrate the framework by providing manyexamples from a pilot implementation.

A Computational Framework for Boundary Representation of Solid Sweeps