autoarray.inversion.pixelization.mesh.Delaunay#

class Delaunay[source]#

Bases: Triangulation

An irregular mesh of Delaunay triangle pixels, which using linear barycentric interpolation are paired with a 2D grid of (y,x) coordinates.

For a full description of how a mesh is paired with another grid, see the Pixelization API documentation.

The Delaunay mesh represents pixels as an irregular 2D grid of Delaunay triangles.

  • image_plane_data_grid: The observed data grid in the image-plane (which is paired with the mesh in the source-plane).

  • image_plane_mesh_grid: The (y,x) mesh coordinates in the image-plane (which are the corners of Delaunay triangles in the source-plane).

  • source_plane_data_grid: The observed data grid mapped to the source-plane after gravitational lensing.

  • source_plane_mesh_grid: The corner of each Delaunay triangle in the source-plane (the image_plane_mesh_grid maps to this after gravitational lensing).

Each (y,x) coordinate in the source_plane_data_grid is paired with the three nearest Delaunay triangle corners, using a weighted interpolation scheme.

Coordinates on the source_plane_data_grid are therefore given higher weights when paired with Delaunay triangle corners they are a closer distance to.

Methods

mapper_grids_from

Mapper objects describe the mappings between pixels in the masked 2D data and the pixels in a mesh,

mesh_grid_from

Return the Delaunay source_plane_mesh_grid as a Mesh2DDelaunay object, which provides additional functionality for performing operations that exploit the geometry of a Delaunay mesh.

relocated_grid_from

Relocates all coordinates of the input source_plane_data_grid that are outside of a

relocated_mesh_grid_from

Relocates all coordinates of the input source_plane_mesh_grid that are outside of a border (which

Attributes

requires_image_mesh

uses_interpolation

mesh_grid_from(source_plane_data_grid=None, source_plane_mesh_grid=None)[source]#

Return the Delaunay source_plane_mesh_grid as a Mesh2DDelaunay object, which provides additional functionality for performing operations that exploit the geometry of a Delaunay mesh.

Parameters:

  • source_plane_data_grid – A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the source reference frame.

  • source_plane_mesh_grid – The centres of every Delaunay pixel in the source frame, which are initially derived by computing a sparse set of (y,x) coordinates computed from the unmasked data in the image-plane and applying a transformation to this.

  • settings – Settings controlling the pixelization for example if a border is used to relocate its exterior coordinates.