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API reference

Smesh.build_polygon_mesh — Method
build_polygon_mesh(data_points, triangulation_vertices; mesh_type=:centroids, orthogonal_boundary_edges=true)

There are three different mesh types:

  • :standard_voronoi => standard voronoi, but use centroid if the circumcenter lies outside the triangle
  • :centroids => not an actual voronoi, always use centroids and not circumcenters as vertices for the mesh
  • :incenters => not an actual voronoi, always use incenters and not circumcenters as vertices for the mesh
  • :pure_voronoi => pure Voronoi mesh (just for experiments, should not be used for computation)
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Smesh.delaunay_compute_neighbors — Method
delaunay_compute_neighbors(data_points, vertices; periodicity = (false, false))

Calculates the neighbor connectivity for a delaunay triangulation created with build_delaunay_triangulation.

  • data_points is an array of size 2 × (number of points) with [coordinate, point].
  • vertices of size 3 × (number of triangles) describes the triangulation with the

structure [point_index, triangle_index]

  • periodicity indicates whether the mesh is periodic in x or y direction.

Note: The feature of periodic meshes is experimental. Right now, it only supports straight boundaries which are parallel to the specific axis.

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Smesh.mesh_basic — Method
mesh_basic(coordinates_min, coordinates_max, n_points_x, n_points_y)

Creates points for a regular grid. Shifting every second column of points to avoid a simple mesh with bisected rectangles. This results in a unique triangulation.

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Smesh.mesh_bisected_rectangle — Method
mesh_bisected_rectangle(coordinates_min, coordinates_max, n_points_x, n_points_y;
                        symmetric_shift = false)

Creates points in a regular manner. The resulting non-unique triangulation consists of bisected rectangles. To allow periodic boundaries for the resulting polygon mesh, it is possible to enable a symmetric shift.

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Smesh.voronoi_compute_neighbors — Method
voronoi_compute_periodic_neighbors!(vertices, voronoi_vertices_coordinates, voronoi_vertices,
                                    voronoi_vertices_interval, delaunay_neighbors;
                                    periodicity = (false, false))

Calculates the neighbor connectivity for a polygon mesh created with build_polygon_mesh.

  • vertices defines the structure of the triangulation. An array of size 3 × (number of triangles) with [point_index, triangle_index].
  • voronoi_vertices_coordinates contains the coordinates of Voronoi vertices in voronoi_vertices.
  • voronoi_vertices: All points within the polygon mesh are sorted counterclockwise for each element.
  • voronoi_vertices_interval is an array of size 2 × (number of elements) and contains the starting and ending point index for every element in voronoi_vertices.
  • delaunay_neighbors is the connectivity data structure created by delaunay_compute_neighbors.
  • periodicity indicates whether the mesh is periodic in x or y direction.

Note: The feature of periodic meshes is experimental. Right now, it only supports straight boundaries which are parallel to the specific axis.

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