meshessuch

Meshessuch is a term used in computational geometry and computer graphics to denote a class of discrete meshes that are optimized to approximate smooth surfaces while maintaining high triangle quality and efficient representation. A meshessuch mesh adapts its element size and shape to local geometric features, using metric tensors to guide refinement and coarsening. The result is a mesh that closely follows curvature and sharp features without excessive element distortion.

Origin and usage: The term was introduced in academic literature in the late 1990s by researchers exploring adaptive meshing strategies. It is often used to describe meshes generated by anisotropic refinement procedures that preserve angles and lengths insofar as possible, and by smoothing operations that improve element quality after refinement.

Construction and characteristics: Key ideas include anisotropic metric-based refinement, edge-based operations, vertex smoothing, and error estimation. A meshessuch mesh typically employs quality measures such as minimum angle, aspect ratio, and quasi-uniformity across features. It supports hierarchical representations and greedy coarsening while controlling geometric fidelity.

Applications: Used in finite element analysis, computer-aided design, 3D modeling, and scientific visualization, where accurate surface representation and stable numerical properties are important.

See also: mesh, mesh generation, adaptive mesh refinement, finite element method, geometric modeling.