Equidistant Smoothing of Polyhedra with Arbitrary Topologies

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dc.contributor.authorMa, Lizhuangen_US
dc.contributor.authorLiang, Youdongen_US
dc.contributor.authorPeng, Qunshengen_US
dc.date.accessioned2014-10-21T07:20:14Z
dc.date.available2014-10-21T07:20:14Z
dc.date.issued1992en_US
dc.description.abstractSmoothing of polyhedron with arbitrary topology is an important issue in CAGD and CAD/CAM, but so far it is deemed to be difficult to smooth the complex corners of a polyhedron. In this paper, the concept of distance surfaces of a surface and a solid is introduced, and the incisive properties of such surfaces are addressed which provide a theoretical foundation for modifying a general corner. The method is based on making constricted volume and the maximum distance the volume can be constricted is given too. It is shown that by the proposed method in this paper any polyhedron can be G1 smoothed with quadraic and, sometimes toroidal surfaces. The new approach is suitable for engineering design and NC machining. The associated algorithm based on the classification theorem of corners is simple, fast and robust.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume11en_US
dc.identifier.doi10.1111/1467-8659.1130405en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages405-414en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1130405en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleEquidistant Smoothing of Polyhedra with Arbitrary Topologiesen_US
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