Hybrid Approach for Repair of Geometry with Complex Topology
Kumar, Amitesh and Alan M. Shih
20th International Meshing Roundtable, Springer-Verlag, pp.387-403, October 23-26 2011
20th International Meshing Roundtable
October 23-26, 2011
University of Alabama at Birmingham, AL, USA
A discrete geometry can have artifacts such as holes, intersections, nonmanifold
edges, mesh fragment among other defects depending upon its origin. These
kinds of defects sometime cause the geometry to be unsuitable for any further use
in computational simulation in absence of a satisfactory geometry repair technique.
There are two main approaches to geometry repair, surface based and volume based.
Surface based approaches, in general, provide better quality results when they work
but require that the input model already satisfies certain quality requirements to
be able to guarantee a valid output. Many of these requirements cannot even be
met or checked automatically. Volume based approaches, in general, can guarantee
watertightness but they usually significantly change the underlying model in this
process and are computationally more expensive.
A hybrid approach for mesh repair, combining surface based approach and a
two step volume based approach is being presented in this paper. The two steps in
the volume based approach are heat diffusion solution as the first step and Poisson
surface reconstruction from oriented points in 3D space as the second step. This
approach presents a reliable method for the repair of those defective discrete surface
geometries which otherwise could not be completely repaired using existing surface based
techniques due to geometric and topological complexities presented as holes,
isles, intersections and small overlaps.
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