Variational Shape Approximation

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¢£¡¤¡¡Optimizing <strong>Shape</strong> ProxiesGeometry Partitioning: Region growingUse a priority queue to "propagate" the regions:For each seed triangle , insert its 3neighbors in the queuePriority =Tag them with the same label ofFor each popped triangle:IF it has been assigned to a proxy, ENDELSE Assign it to the region with its tag andpush its (untagged) neighbors in the queue
¡£ ¡¤ ¡¡¡¡¡Optimizing <strong>Shape</strong> ProxiesProxy FittingMetric:= Barycenter of the region .= Eigenvector of the smallest eigenvalueof the covariance matrix of .¡ ¤ ¡ £¢Metric:= Barycenter of the region .= area-weighted average of normals oftriangles in .
Page 3 and 4: IntroductionThe Problem:
Page 6 and 7: ¡IntroductionOther approaches:Part
Page 8 and 9: Shape ApproximationApproximation Th
Page 10 and 11: ¡¢£¡¤¢ £¡¤¦¦¥¡§¨©¨
Page 12 and 13: d¤¡¡ £¡¢¤¡Shape Approximati
Page 14 and 15: ¢£¤¡¡¡¢¢¡ £¡¤Shape Appr
Page 16 and 17: Optimizing Shape ProxiesThe algorit
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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