Separating an object from its cast
CAD Computer Aided Design , Volume 34 - Issue 8 p. 547- 559
In casting, liquid is poured into a cast that has a cavity with the shape of the object to be manufactured. The liquid then hardens, after which the cast is removed. We consider the case where the cast consists of two parts and address the following problems. (1) Given a cast for an object and a direction d→, can the cast be partitioned into two parts such that the parts can be removed in directions d→ and -d→, respectively, without colliding with the object or the other cast part? (2) How can one find a direction d→ such that the above cast partitioning can be done? We give necessary and sufficient conditions for both problems, as well as algorithms to decide them for polyhedral objects. We also give some evidence that the case where the cast parts need not be removed in opposite directions is considerably harder.
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|CAD Computer Aided Design|
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Ahn, H.-K. (Hee-Kap), de Berg, M. (Mark), Bose, P, Cheng, S.-W. (Siu-Wing), Halperin, D. (Dan), Matoušek, J. (Jiřı́), & Schwarzkopf, O. (Otfried). (2002). Separating an object from its cast. CAD Computer Aided Design, 34(8), 547–559. doi:10.1016/S0010-4485(01)00119-1