# EikMesh - A parallel mesh generator for 2D unstructured meshes

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## Introduction

The EIKMESH Java library contains multiple algorithms and data structures to generate, change and use unstructured 2D triangular meshes.

The library implements a generic version of the edge based half-edge data structure also called doubly connected edge list (DCEL).

User defined data types can be easily stored at and accessed via mesh elements (vertices, (half-)edges, faces / triangles).

Given some mesh elements, adjacent elements can be accessed in O(1) time.

Each generated mesh is conforming. Holes are supported.

The aim was to provide a fast, light and user-friendly meshing tool with parametric input, generic data types and advanced visualization capabilities.

EIKMESH generates

- exact Delaunay triangulations (DT),

- constrained Delaunay triangulations (CDT),

- conforming Delaunay triangulations (CCDT),

- Voronoi diagrams, and

- high-quality unstructured and conforming triangular meshes.

## EikMesh

The EikMesh mesh generator was published in [1] and is heavily based on DistMesh a simple and mesh generator (in MATLAB) which was developed by Per-Olof Persson and Gilbert Strang.

EikMesh inherits its specification of the geometry via signed distance functions and the concept of iterative smoothing by converging towards a force equilibrium from DistMesh.

However, EikMesh completely avoids the computation of the Delaunay triangulation, generates a different and cache friendly initial triangulation and treats boundary elements more carefully.

Additionally, EikMesh supports geometries defined by a [segment bounded planar straight-line graphs](https://en.wikipedia.org/wiki/Planar_straight-line_graph)(PSLG).

## Documentation

- EIKMESH - a Java library for 2D unstructured triangular meshes

-[A parallel generator for sparse unstructured meshes to solve the eikonal equation](https://doi.org/10.1016/j.jocs.2018.09.009)

- Wiki

## Download

The source code is available at [GitLab](https://gitlab.lrz.de/vadere/vadere/tree/master/VadereMeshing).

A pre-compiled version can be download [here](TODO).