Meshgenesis

Meshgenesis is a term used in computational geometry and computer graphics to describe the process and tools involved in creating meshes from geometric models for simulation and rendering. The word blends mesh generation with genesis, signaling the birth or creation of a discretized domain suitable for numerical computation.

As a concept, meshgenesis encompasses both theoretical algorithms and practical software workflows that produce two-dimensional surface meshes or three-dimensional volume meshes. It emphasizes satisfying geometric and topological constraints, guaranteeing mesh conformity to the input geometry, and controlling element size and quality through refinement and coarsening.

Approaches associated with meshgenesis include Delaunay-based refinement, constrained Delaunay triangulation, advancing-front methods, and octree- or kd-tree–based meshers. In 3D, meshgenesis workflows must address quality metrics such as minimum angle, radius-edge ratio, and shape regularity, as well as anisotropic meshing to align elements with features like folds and sharp edges. Surface mesh generation often precedes volume meshing, and boundary fidelity is prioritized.

Applications span finite element analysis, computational fluid dynamics, graphics and animation, geological and biomedical modeling, and additive manufacturing prep. Robustness, portability, and integration with meshing pipelines are common research and development concerns.

In practice, meshgenesis is realized through libraries and tools that implement meshing algorithms, including open-source packages that support 2D and 3D meshing and integration with simulation pipelines. The term remains informal and context-dependent, rather than a single standardized specification.