Tracing Surface Intersection with a Validated ODE System Solver

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dc.contributor.authorMukundan, H.en_US
dc.contributor.authorKo, K. H.en_US
dc.contributor.authorMaekawa, T.en_US
dc.contributor.authorSakkalis, T.en_US
dc.contributor.authorPatrikalakis, N. M.en_US
dc.contributor.editorGershon Elber and Nicholas Patrikalakis and Pere Bruneten_US
dc.date.accessioned2016-02-17T18:02:46Z
dc.date.available2016-02-17T18:02:46Z
dc.date.issued2004en_US
dc.description.abstractThis paper presents a robust method for tracing intersection curve segments between continuous rational parametric surfaces, typically rational polynomial parametric surface patches. The tracing procedure is based on a validated ordinary differential equation (ODE) system solver which can be applied, without substantial overhead, for transversal as well as tangential intersections. Application of the validated ODE solver in the context of eliminating the phenomenon of straying and looping is discussed. In addition, we develop a method to fulfill the condition of a continuous gap-free boundary with a definite numerically verified upper bound for the intersection curve error in parameter space and is further mapped to an upper bound for the intersection curve error in 3D model space, which assists in defining well-formed boundary representation models of complex 3D solids.en_US
dc.description.sectionheadersPosters Sessionen_US
dc.description.seriesinformationSolid Modelingen_US
dc.identifier.doi10.2312/sm.20041397en_US
dc.identifier.isbn3-905673-55-Xen_US
dc.identifier.issn1811-7783en_US
dc.identifier.pages249-254en_US
dc.identifier.urihttps://doi.org/10.2312/sm.20041397en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.3 [Solid Modeling]en_US
dc.subjectCADen_US
dc.subjectCAGDen_US
dc.subjecttangencyen_US
dc.subjectrounded interval arithmeticen_US
dc.subjectrobustnessen_US
dc.subjectrigorous error boundsen_US
dc.subjectstraying and loopingen_US
dc.subjectboundary representationen_US
dc.subjectgapen_US
dc.subjectfree boundariesen_US
dc.titleTracing Surface Intersection with a Validated ODE System Solveren_US
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