Incorporating Sharp Features in the General Solid Sweep Framework

dc.contributor.authorAdsul, Bharaten_US
dc.contributor.authorMachchhar, Jineshen_US
dc.contributor.authorSohoni, Milinden_US
dc.contributor.editorMaks Ovsjanikov and Daniele Panozzoen_US
dc.date.accessioned2016-06-17T14:11:47Z
dc.date.available2016-06-17T14:11:47Z
dc.date.issued2016en_US
dc.description.abstractThis paper extends a recently proposed robust computational framework for constructing the boundary representation (brep) of the volume swept by a given smooth solid moving along a one parameter family h of rigid motions. Our extension allows the input solid to have sharp features, and thus it is a significant and useful generalization of that work. This naturally requires a precise description of the geometry of the surface generated by the sweep of a sharp edge supported by two intersecting smooth faces. We uncover the geometry along with the related issues like parametrization and singularities via a novel mathematical analysis. Correct trimming of such a surface is achieved by an analysis of the interplay between the cone of normals at a sharp point and its trajectory under h. The overall topology is explained by a key lifting theorem which allows us to compute the adjacency relations amongst entities in the swept volume by relating them to corresponding adjacencies in the input solid. Moreover, global issues related to body-check such as orientation, singularities and self-intersections are efficiently resolved. Examples from a pilot implementation illustrate the efficiency and effectiveness of our framework.en_US
dc.description.number5en_US
dc.description.sectionheadersParametrization and Volumesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12960en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages21-31en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12960en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectCurveen_US
dc.subjectsurfaceen_US
dc.subjectsoliden_US
dc.subjectand object representationsen_US
dc.titleIncorporating Sharp Features in the General Solid Sweep Frameworken_US
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