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Timeline for Cone-Torus intersection in 3D

Current License: CC BY-SA 4.0

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Aug 28, 2018 at 22:41 comment added Joseph O'Rourke @GerhardPaseman: Yes. This paper computes the min distance between two surfaces of revolution (although you would not know that from the title). Seong, Joon-Kyung, Myung-Soo Kim, and Kokichi Sugihara. "The Minkowski sum of two simple surfaces generated by slope-monotone closed curves." In Geometric Modeling and Processing, pp. 33-42. IEEE, 2002. They match normals using the Gauss maps.
Aug 28, 2018 at 16:00 comment added Gerhard Paseman Do you know of any papers which cover the case that the objects are two solids of revolution, with "not much concavity"? I would hope the torus has not much concavity and would be part of the allowed list of objects. Gerhard "Axes Should Play A Role" Paseman, 2018.08.28.
Aug 28, 2018 at 15:52 comment added Joseph O'Rourke The Kim paper I cited finds points on the two surfaces such that the segment connecting them is perpendicular to both surfaces.
Aug 28, 2018 at 14:59 history edited Alex Gavrilov CC BY-SA 4.0
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Aug 28, 2018 at 14:51 history answered Alex Gavrilov CC BY-SA 4.0