The Mesquite Mesh Quality Improvement Toolkit

Tetrahedral Mesh Generation for Non-rigid Registration of Brain MRI: Analysis of the Requirements and Evaluation of Solutions

rules. Computing and Visualization in Science 1 (1997) 41–5234. Brewer, M., Diachin, L.F., Knupp, P.M., Leurent, T., Melander, D.J.: TheMesquite mesh quality improvement toolkit. In: Proc. of 12th IMR. (2003)239–25035. CGAL: Cgal, Computational Geometry Algorithms Library (2008) http://www.cgal.org.36. Ibanez, L., Schroeder, W.J.: The ITK Software Guide. Kitware Inc (200...

Towards high-quality, untangled meshes via a force-directed graph embedding approach

High quality meshes are crucial for the solution of partial differential equations (PDEs) via the finite element method (or other PDE solvers). The accuracy of the PDE solution, and the stability and conditioning of the stiffness matrix depend upon the mesh quality. In addition, the mesh must be untangled in order for the finite element method to generate physically valid solutions. Tangled mes...

An Unstructured Mesh Improvement Toolkit with Application to Mesh Improvement, Generation and (de-)reenement

Calculation of Positron Distribution in the Presence of a Uniform Magnetic Field for the Improvement of Positron Emission Tomography (PET) Imaging Using GEANT4 Toolkit

Introduction Range and diffusion of positron-emitting radiopharmaceuticals are important parameters for image resolution in positron emission tomography (PET). In this study, GEANT4 toolkit was applied to study positron diffusion in soft tissues with and without a magnetic field for six commonly used isotopes in PET imaging including 11C, 13N, 15O, 18F, 68Ga, and 82Rb. Materials and Methods GEA...

Label-Invariant Mesh Quality Metrics

Mappings from a master element to the physical mesh element, in conjunction with local metrics such as those appearing in the Target-matrix paradigm, are used to measure quality at points within an element. The approach is applied to both linear and quadratic triangular elements; this enables, for example, one to measure quality within a quadratic finite element. Quality within an element may a...