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Random Polygon to Ellipse
Repeatedly averaging the neighboring vertices of a random polygon forms a sequence of polygons that converge to an ellipse.
Contributed by:
Rongzhong Li
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The averaging operation is represented in the code by a matrix.
Snapshot 1: the initial state of 20 2D points
Snapshot 2: the final state of the 20 2D points
Snapshot 3: the middle state of 30 3D points
Reference
[1] A. Elmachtoub and C. Van Loan, "From Random Polygon to Ellipse: An Eigenanalysis,"
SIAM Review
, 52(1), 2010 pp. 151–170.
doi:10.1137/090746707
.
PERMANENT CITATION
Rongzhong Li
"
Random Polygon to Ellipse
"
http://demonstrations.wolfram.com/RandomPolygonToEllipse/
Wolfram Demonstrations Project
Published: August 14, 2014
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