2016
DOI: 10.1016/j.cma.2016.06.009
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Direct multiphase mesh generation from 3D images using anisotropic mesh adaptation and a redistancing equation

Abstract: In this paper, a new methodology to build automatically 3D adapted meshes, ready for numerical simulations and directly from images, is proposed. It is based on the Immersed Image Method, which interpolates the image information on an initial mesh and combines it with parallel automatic anisotropic mesh adaptation with a control of the number of mesh nodes. Simultaneously, a smooth redistancing technique, based on the resolution of a Hamilton-Jacobi equation, is developed to produce phase functions for the obj… Show more

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Cited by 12 publications
(7 citation statements)
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“…For scientific computation, accuracy of numerical representations may play a key role since the passage from the image to a finite element mesh allows, on one hand, the construction of a numerical representation to be used in further simulations but, on the other hand, may also reduce the size of the stored data. In recent work (Silva et al, 2014; Zhao et al, 2016), we have proposed a novel technique to simultaneously segment and construct a finite element mesh, using directly the 3D image data. In the following, its application on a very large image, requiring massively parallel tools, will be described.…”
Section: Resultsmentioning
confidence: 99%
“…For scientific computation, accuracy of numerical representations may play a key role since the passage from the image to a finite element mesh allows, on one hand, the construction of a numerical representation to be used in further simulations but, on the other hand, may also reduce the size of the stored data. In recent work (Silva et al, 2014; Zhao et al, 2016), we have proposed a novel technique to simultaneously segment and construct a finite element mesh, using directly the 3D image data. In the following, its application on a very large image, requiring massively parallel tools, will be described.…”
Section: Resultsmentioning
confidence: 99%
“…This iterative process starts with a coarse initial mesh, where geometries are immersed and reconstructed using the methods proposed in Section 3.1 . A-posteriori error estimator [ 13 , 14 ] evaluates errors from the level-set results at each computational point, using the smoothed Heaviside function described in Equation ( 2 ). In order to generate an anisotropic mesh, a tensor is defined at each point, enabling to measure the errors along each dimension.…”
Section: Computational Domain Reconstructionmentioning
confidence: 99%
“…The specific anatomy of the patient is generally taken into account case-by-case thanks to pre-operative data such magnetic resonance images (MRI) or computed tomography (CT) scans. From these inputs, the surface and the volume of the organs of interest can be identified, reconstructed and meshed [1,18,24,46] . This can be a time-consuming and computationally intensive task and needs to be repeated for any new patient, posing severe limitations to the use of such models within interactive simulation environments.…”
Section: Scope Of the Current Workmentioning
confidence: 99%