Jibum Kim

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We present a preliminary method to generate polyhedral meshes of general non-manifold domains. The method is based on computing the dual of a general tetrahedral mesh. The resulting mesh respects the topology of the domain to the same extent as the input mesh. If the input tetrahe-dral mesh is Delaunay and well-centered, the resulting mesh is a Voronoi mesh(More)
BACKGROUND Social epidemiology seeks in part to understand how social factors--ideas, beliefs, attitudes, actions, and social connections--influence health. However, national health datasets have not kept up with the evolving needs of this cutting-edge area in public health. Sociological datasets that do contain such information, in turn, provide limited(More)
In this paper, we study the effect the choice of mesh quality metric, pre-conditioner, and sparse linear solver have on the numerical solution of elliptic partial differential equations (PDEs). We smoothe meshes on several geometric domains using various quality metrics and solve the associated elliptic PDEs using the finite element method. The resulting(More)
We propose a hybrid mesh deformation algorithm which uses the direction of the boundary deformation to determine the positions of the interior mesh vertices in the deformed mesh. Our goal is to produce meshes on deformed domains which maintain mesh 'similar' element shape and possess no inverted elements. The hybrid mesh deformation algorithm consists of(More)
We propose simple and efficient optimization-based untangling strategies for 2D polygonal and 3D polyhedral meshes. The first approach uses a size-based mesh metric, which eliminates inverted elements by averaging element size over the entire mesh. The second method uses a hybrid quality metric, which untangles inverted elements by simultaneously averaging(More)
1 Abstract We present a practical approach for solving volume and surface mesh optimization problems. Our approach is based on Newton's method which uses both first-order (gradient) and second-order (Hessian) derivatives of the non-linear objective function. The volume and surface optimization algorithms are modified such that surface constraints and mesh(More)