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 compuationcomputation of its centroid (center of mass) is now given as a weighted combination of its simplices' [[Circumscribed circle|circumcenters]] (in the following called <math display="inline">\mathbf{c}_i</math>).
* Two dimensions:
** For a triangle the circumcircle and its center are unique and can be easily computed, e.g. using [[Circumscribed circle#Circumcenter coordinates|cartesian coordinates]].