{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/partial-functional-correspondence","title":"Partial Functional Correspondence","arxiv_id":"1506.05274","date":"2015-06-17","proceeding":null,"authors":["Emanuele Rodolà","Luca Cosmo","Michael M. Bronstein","Andrea Torsello","Daniel Cremers"],"abstract":"In this paper, we propose a method for computing partial functional\ncorrespondence between non-rigid shapes. We use perturbation analysis to show\nhow removal of shape parts changes the Laplace-Beltrami eigenfunctions, and\nexploit it as a prior on the spectral representation of the correspondence.\nCorresponding parts are optimization variables in our problem and are used to\nweight the functional correspondence; we are looking for the largest and most\nregular (in the Mumford-Shah sense) parts that minimize correspondence\ndistortion. We show that our approach can cope with very challenging\ncorrespondence settings.","url_abs":"http://arxiv.org/abs/1506.05274v2","url_pdf":"http://arxiv.org/pdf/1506.05274v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"partial-functional-correspondence","repo_url":"https://github.com/llorz/SGP19_complex_resolvent_laplacian","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1506.05274","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}