Med Biol Eng Comput - Computation of a finite element-conformal tetrahedral mesh approximation for simulated soft tissue deformation using a deformable surface model.

Tópicos

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Resumo

In this article, we present a new method for the generation of surface meshes of biological soft tissue. The method is based on the deformable surface model technique and is extended to histological data sets. It relies on an iterative adjustment towards polygonal segments describing the histological structures of the soft tissue. The generated surface meshes allow for the construction of volumetric meshes through a standard constrained Delaunay approach and, thus, for the application in finite element methods. The geometric properties of volumetric meshes have an immediate influence on the numerical conditioning and, therewith, on the stability of the finite element method and the convergence of iterative solvers. In this article, the influence of the surface meshes on the quality of the volumetric meshes is analysed in terms of the spectral condition number of the stiffness matrices, which are assembled within Newton's method. The non-linear material behavior of biological soft tissue is modeled by the Mooney-Rivlin material law. The subject is motivated by the requirements of virtual surgery.

Resumo Limpo

articl present new method generat surfac mesh biolog soft tissu method base deform surfac model techniqu extend histolog data set reli iter adjust toward polygon segment describ histolog structur soft tissu generat surfac mesh allow construct volumetr mesh standard constrain delaunay approach thus applic finit element method geometr properti volumetr mesh immedi influenc numer condit therewith stabil finit element method converg iter solver articl influenc surfac mesh qualiti volumetr mesh analys term spectral condit number stiff matric assembl within newton method nonlinear materi behavior biolog soft tissu model mooneyrivlin materi law subject motiv requir virtual surgeri

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