1. 1 Numerical geometry of non-rigid shapes Spectral embedding Conclusions I hope that posterity will judge me kindly, not only as to the things which I have explained, but also to those which I have intentionally omitted so as to leave to others the pleasure of discovery. R. Descartes Alexander Bronstein, Michael Bronstein © 2008 All rights reserved. Web: tosca.cs.technion.ac.il

2. 2 Numerical geometry of non-rigid shapes Spectral embedding Thorny path Via dolorosa

3. 3 Numerical geometry of non-rigid shapes Spectral embedding Non-rigid world METRIC GEOMETRY OPTIMIZATION NON-RIGID WORLD NUMERICAL GEOMETRY

4. 4 Numerical geometry of non-rigid shapes Spectral embedding Messages to take home Shapes as metric spaces Isometry-invariant similarity Similarity = Correspondence