{"author":[{"first_name":"Yoni","last_name":"Choukroun","full_name":"Choukroun, Yoni"},{"full_name":"Shtern, Alon","first_name":"Alon","last_name":"Shtern"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","full_name":"Bronstein, Alexander","orcid":"0000-0001-9699-8730","last_name":"Bronstein","first_name":"Alexander"},{"full_name":"Kimmel, Ron","last_name":"Kimmel","first_name":"Ron"}],"language":[{"iso":"eng"}],"status":"public","citation":{"apa":"Choukroun, Y., Shtern, A., Bronstein, A. M., &#38; Kimmel, R. (2020). Hamiltonian operator for spectral shape analysis. <i>IEEE Transactions on Visualization and Computer Graphics</i>. Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/tvcg.2018.2867513\">https://doi.org/10.1109/tvcg.2018.2867513</a>","mla":"Choukroun, Yoni, et al. “Hamiltonian Operator for Spectral Shape Analysis.” <i>IEEE Transactions on Visualization and Computer Graphics</i>, vol. 26, no. 2, Institute of Electrical and Electronics Engineers, 2020, pp. 1320–31, doi:<a href=\"https://doi.org/10.1109/tvcg.2018.2867513\">10.1109/tvcg.2018.2867513</a>.","ista":"Choukroun Y, Shtern A, Bronstein AM, Kimmel R. 2020. Hamiltonian operator for spectral shape analysis. IEEE Transactions on Visualization and Computer Graphics. 26(2), 1320–1331.","ieee":"Y. Choukroun, A. Shtern, A. M. Bronstein, and R. Kimmel, “Hamiltonian operator for spectral shape analysis,” <i>IEEE Transactions on Visualization and Computer Graphics</i>, vol. 26, no. 2. Institute of Electrical and Electronics Engineers, pp. 1320–1331, 2020.","short":"Y. Choukroun, A. Shtern, A.M. Bronstein, R. Kimmel, IEEE Transactions on Visualization and Computer Graphics 26 (2020) 1320–1331.","chicago":"Choukroun, Yoni, Alon Shtern, Alex M. Bronstein, and Ron Kimmel. “Hamiltonian Operator for Spectral Shape Analysis.” <i>IEEE Transactions on Visualization and Computer Graphics</i>. Institute of Electrical and Electronics Engineers, 2020. <a href=\"https://doi.org/10.1109/tvcg.2018.2867513\">https://doi.org/10.1109/tvcg.2018.2867513</a>.","ama":"Choukroun Y, Shtern A, Bronstein AM, Kimmel R. Hamiltonian operator for spectral shape analysis. <i>IEEE Transactions on Visualization and Computer Graphics</i>. 2020;26(2):1320-1331. doi:<a href=\"https://doi.org/10.1109/tvcg.2018.2867513\">10.1109/tvcg.2018.2867513</a>"},"date_published":"2020-02-01T00:00:00Z","publication_status":"published","month":"02","article_type":"original","_id":"18250","date_updated":"2024-10-15T09:43:31Z","article_processing_charge":"No","title":"Hamiltonian operator for spectral shape analysis","pmid":1,"issue":"2","external_id":{"arxiv":["1611.01990"],"pmid":["30176599"]},"abstract":[{"text":"Many shape analysis methods treat the geometry of an object as a metric space that can be captured by the Laplace-Beltrami operator. In this paper, we propose to adapt the classical Hamiltonian operator from quantum mechanics to the field of shape analysis. To this end, we study the addition of a potential function to the Laplacian as a generator for dual spaces in which shape processing is performed. We present general optimization approaches for solving variational problems involving the basis defined by the Hamiltonian using perturbation theory for its eigenvectors. The suggested operator is shown to produce better functional spaces to operate with, as demonstrated on different shape analysis tasks.","lang":"eng"}],"scopus_import":"1","year":"2020","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1611.01990 ","open_access":"1"}],"publisher":"Institute of Electrical and Electronics Engineers","publication":"IEEE Transactions on Visualization and Computer Graphics","day":"01","OA_place":"repository","oa_version":"Preprint","doi":"10.1109/tvcg.2018.2867513","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-10-08T13:05:41Z","extern":"1","intvolume":"        26","type":"journal_article","oa":1,"OA_type":"green","page":"1320-1331","volume":26,"publication_identifier":{"issn":["1077-2626"],"eissn":["2160-9306"]},"quality_controlled":"1"}