Lloyd on Mesh

Dependencies

This node requires SciPy library to work.

Functionality

This node uses Lloyd algorithm to redistribute a set of points on the surface of arbitrary mesh uniformly. If provided points do not lie on the mesh, they will be projected onto the mesh first.

To generate Lloyd distribution on the mesh, Voronoi diagram is generated in the region of space, defined by some maximum distance from the mesh (layer of some thickness). Thickness of this layer can affect resulting distribution slightly.

Optionally, weighted Lloyd algorithm can be used, to put points more dense in places to which higher weight is assigned.

Inputs

This node has the following inputs:

• Vertices. Vertices of the mesh, on which the points are to be distributed. This input is mandatory.

• Faces. Faces of the mesh, on which the points are to be distributed. This input is mandatory.

• Sites. Initial points to be redistributed. This input is mandatory.

• Iterations. Number of Lloyd’s algorithm iterations. The default value is 3.

• Thickness. Thickness of region where Voronoi diagram is generated. The default value is 1.0.

• Weights. Scalar Field object used to assign different weights for different places in 3D space. More points will be put in places which have bigger weight. This input is optional. If not connected, uniform Lloyd algorithm will be used.

Outputs

This node has the following output:

• Sites. Redisrtibuted points.

Example of Usage

• Generator-> Suzanne

• Spatial-> Populate Mesh

• Viz-> Viewer Draw

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• Generator-> Suzanne

• Spatial-> Populate Mesh

• Viz-> Viewer Draw