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dc.contributor.authorBo P.en_US
dc.contributor.authorBartoň M.en_US
dc.contributor.authorPottmann H.en_US
dc.date.accessioned2017-08-08T11:54:07Z
dc.date.available2017-08-08T11:54:07Z
dc.date.issued2017-10
dc.identifier.issn0010-4485
dc.identifier.urihttp://hdl.handle.net/20.500.11824/720
dc.description.abstractWe propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the manufacturing point of view as they are, by-definition, manufacturable by computer numerically controlled (CNC) machining using the efficient flank (peripheral) method with standard conical tools. Our geometric approach exploits multi-valued vector fields that consist of vectors in which the point-surface distance changes linearly. Integrating such vector fields gives rise to a family of integral curves, and, among them, linear segments that further serve as conical axes are quickly extracted. The lines that additionally admit tangential motion of the associated cone along the reference geometry form a set of candidate lines that are sequentially clustered and ordered to initialize motions of a rigid truncated cone. We validate our method by applying it on synthetic examples with exact envelopes, recovering correctly the exact solutions, and by testing it on several benchmark industrial datasets, detecting manufacturable conical envelope patches within fine tolerances.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherComputer Aided Designen_US
dc.relationES/1PE/SEV-2013-0323en_US
dc.relationEUS/BERC/BERC.2014-2017en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subject5-axis CNC machiningen_US
dc.subjectflank millingen_US
dc.subjectfree-form surfaceen_US
dc.subjecttangential movabilityen_US
dc.subjectshape manufacturingen_US
dc.titleAutomatic fitting of conical envelopes to free-form surfaces for flank CNC machiningen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doi10.1016/j.cad.2017.06.006
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0010448517301197?via%3Dihuben_US


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