Description
Reading your work about using CSG in Pücker coordinates to solve visibility problems, I wonder if similar techniques could be used to generate swept volumes...
Swept volumes have numerous applications across engineering, robotics, and computer graphics. If your tools could be expanded to support swept volume generation, it would clearly be an innovative approach.
For my application, I'm particularly interested in generating swept volumes with some tolerance -- for example, the volume swept by an object moving along a certain trajectory, but that trajectory may vary +-15deg. So it would not just be a swept 'cylinder', but a swept cone.
This could be accomplished with compound application of a swept volume algorithm -- first sweep the translation, then sweep that result for the rotation.