Variational Shape Approximation

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Optimizing <strong>Shape</strong> ProxiesThe algorithmIt is inspired in Lloyd’s Clustering AlgorithmGeometry Partitioning.It is used an error-minimizing region-growingalgorithm. The object is segmented innon-overlapping regions.Proxy Fitting.For each partition it is computed an optimallocal representative.
¡¡¡¡Optimizing <strong>Shape</strong> ProxiesGeometry Partitioning: Initial seedGiven a partition , a set of proxies , and anerror metric :For each region , select the trianglethat is most similar to .In the first step, select arbitrary triangles.For each one, assign as proxy its barycenterand normal.of
Page 3 and 4: IntroductionThe Problem:
Page 6 and 7: ¡IntroductionOther approaches:Part
Page 8 and 9: Shape ApproximationApproximation Th
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Page 18 and 19: ¢£¡¤¡¡Optimizing Shape Proxie
Page 20 and 21: Optimizing Shape ProxiesImprovement
Page 22 and 23: Final remarks and results
Page 24 and 25: Final remarks and resultsLimitation

Variational Shape Approximation

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