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Functional Maps: A Flexible Representation of Maps (with Applications)

Published on Mar 05, 20135694 Views

In this talk, I will discuss a representation of maps between pairs of 3D shapes (represented as triangle meshes) that generalizes of the standard notion of a map to include correspondences that are n

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Chapter list

Functional Shape Maps: A Flexible Representation of Maps Between Shapes00:00
Problem Formulation - 100:43
Problem Formulation - 201:01
Problem Formulation - 301:13
Problem Formulation - 401:27
Problem Formulation - 502:14
Motivation - 102:59
Applications - 104:27
Applications - 205:42
Applications - 306:07
Method Taxonomy - 106:18
Method Taxonomy - 207:40
Pairwise Rigid Correspondence - 108:21
Pairwise Rigid Correspondence - 210:05
Pairwise Rigid Correspondence - 310:09
Pairwise Rigid Correspondence - 410:28
Pairwise Rigid Correspondence - 510:38
Pairwise Rigid Correspondence - 610:39
Pairwise Rigid Correspondence - 710:39
Pairwise Rigid Correspondence - 810:40
Pairwise Rigid Correspondence - 910:41
Pairwise Rigid Correspondence - 1011:02
Motivation - 211:23
Motivation - 312:59
Motivation - 413:56
Motivation - 518:00
Motivation - 618:12
Canonical Embeddings - 120:59
Canonical Embeddings - 221:38
Canonical Embeddings - 321:45
Canonical Embeddings - 422:24
Canonical Embeddings - 522:29
Our Goals22:38
Background - 123:40
Background - 224:04
Background - 325:05
Background - 425:39
Background - 525:40
Background - 626:49
Background - 727:05
Background - 827:08
Background - 929:24
Example30:44
Choice of Basis – Laplace-Beltrami33:35
Reconstruction Error - 135:09
Reconstruction Error - 236:53
Main Properties37:30
Map Constraints - 140:24
Map Constraints - 242:36
Map Constraints - 342:43
Map Constraints - 442:45
Map Constraints - 542:47
Commutativity Constraints44:04
Some Regularization Constraints45:22
Benchmark Results46:52
Result Improvement47:31
Segmentation Transfer48:33
Multishape Analysis49:46
Map Visualization and Analysis50:55
Map Visualization - 152:59
Map Visualization - 253:43
Map Visualization - 353:50
Map Visualization - 453:50
Conclusion & Future Work - 153:51
Conclusion & Future Work - 254:36
Questions & Suggestions?56:25