Lloyd's algorithm: Difference between revisions

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** Trivially, a set of [[Tetrahedron|tetrahedra]] is obtained by connecting triangles of the cell's hull with the cell's site.
 
Integration of a cell and computation of its [[Centroid|centroid]] (center of mass) is now given as a weighted combination of its simplices' centroids (in the following called <math display="inline">\mathbf{c}_i</math>).
* Two dimensions:
** For a triangle the centroid can be easily computed, e.g. using [[Centroid#By geometric decomposition|cartesian coordinates]].