In this talk I will present a recent line of work on (deformable) partial shape correspondence in the spectral domain. I will first introduce Partial Functional Maps (PFM), showing how to robustly formulate the shape correspondence problem under missing geometry with the language of functional maps. We use perturbation analysis to show how removal of shape parts changes the Laplace-Beltrami eigenfunctions, and exploit it as a prior on the spectral representation of the correspondence. I will then show further extensions to deal with the presence of clutter (deformable object-in-clutter) and multiple pieces (non-rigid puzzles). The talk will be self-contained: basic notions on spectral geometry and deformable shape analysis will be introduced, without assuming deep prior knowledge on these topics from the audience.
Emanuele is a post-doctoral researcher at Università della Svizzera Italiana (USI Lugano) since February 2016, where he works in the group led by Prof. Michael Bronstein. Before that, he was an Alexander von Humboldt Fellow in Prof. Daniel Cremers' Computer Vision lab at TU Munich (2013-2016) and a JSPS Research Fellow at The University of Tokyo (Intelligent Systems and Informatics Lab, 2013). His research interests focus on Shape Analysis, matching, and reconstruction, and co-authored around 40 papers on these topics. He received a number of awards, including the Best Student Paper Award at 3DPVT 2010, the Best Paper Award at VMV 2015, and the Best Paper Award at SGP 2016. He has been serving in the program committees of the top rated conferences in computer vision (CVPR, ICCV, ECCV, ACCV, etc.), served as Area Chair at 3DV 2016, founded and chaired the first ECCV workshop on Geometry Meets Deep Learning (GMDL 2016), organized several Eurographics SHREC contests, and was recognized as Outstanding Reviewer at CVPR (2013, 2015, 2016), ICCV (2015), and ECCV (2014, 2016). He gave tutorials and short courses in multiple occasions at EUROGRAPHICS, ECCV, and SIGGRAPH Asia. Emanuele's work on 3D reconstruction was featured by the national Italian television (RAI - Cose dell'altro Geo) in 2012.