Planar hexagonal-dominant (PHex) meshes are an important class of meshes with minimal vertex-degree. They are highly useful in the rationalization of freeform architectural surfaces, for construction with flat steel, glass, or wooden panels of equal thickness. A PHex mesh must contain both convex and concave faces of varying anisotropic shapes due to the planarity constraint. Therefore, while p...

Even though many methods have been suggested to meet the challenge of all-hexahedral meshing, octree-based methods remain the most efficient from an engineering point of view. As of today, its robustness, speed and robustness are still unmatched. This paper presents advances made in the Hexotic project, especially in terms of sharp angles meshing, non-manifold geometries and adaptation.

The objective of the present research is to develop a standard hexahedral Finite Element (FE) model of the human femur accounting for the material characteristics of cortical bone, cancellous bone and bone marrow. The anatomical data were acquired from the Visible Human Project. A detailed outline of the steps necessary in developing hexahedral FE meshes from computed tomography (CT) data is pr...

Metric tensor fields computed from solution data for adaptation problems are not always well-behaved. They may contain noise, high gradients in desired directionality and anisotropy, global undulations in directionality, and other defects that pose challenges for meshing algorithms. We focus on the application of filters to address some of these defects through noise removal and a form of fairi...

Meshing is the process of computing, for a given surface, a representation consisting of pieces of simple surface patches, like triangles. This survey discusses all currently known surface (and curve) meshing algorithms that come with correctness and quality guarantees. Page references to other chapters are to the pages of the book. The original publication is available on-line at www.springerl...

Issues related to curvilinear mesh generation starting from a CAD model are addressed. Curvilinear mesh geometry representation in the context of p-version finite elements and its impact on the validity of curvilinear meshes is discussed. A set of meshing tools is described for generation and modification of curved meshes in three-dimensional space. An iterative algorithm for curved meshing of ...