Distance bound for nonconvex polyhedral models in close proximity

In many applications, it suffices to know a lower bound on the distance between objects, instead of the exact distance itself, which may be more difficult to compute. Such an easy-to-compute lower bound on the distance between two nonconvex polyhedra is presented here, which does not require a decom...

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Detalles Bibliográficos
Autores: Jiménez Schlegl, Pablo, Torras, Carme
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2006
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/30566
Acceso en línea:http://hdl.handle.net/10261/30566
Access Level:acceso abierto
Palabra clave:Distance computation
Lower bound
Nonconvex polyhedra
Orientation-based pruning
Automation
Descripción
Sumario:In many applications, it suffices to know a lower bound on the distance between objects, instead of the exact distance itself, which may be more difficult to compute. Such an easy-to-compute lower bound on the distance between two nonconvex polyhedra is presented here, which does not require a decomposition of the original polyhedra into convex entities. Furthermore, a suitable preprocessing of the polyhedra permits lowering the effort needed to compute this lower bound, and improves its quality. Experimental evidence is presented of the promise of this approach for assembly applications.