Timeline for Cone-Torus intersection in 3D
Current License: CC BY-SA 4.0
5 events
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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 |
added 2 characters in body
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Aug 28, 2018 at 14:51 | history | answered | Alex Gavrilov | CC BY-SA 4.0 |