[{"oa":1,"abstract":[{"lang":"eng","text":"We consider the problem of localizing relevant subsets of non-rigid geometric shapes given only a partial 3D query as the input. Such problems arise in several challenging tasks in 3D vision and graphics, including partial shape similarity, retrieval, and non-rigid correspondence. We phrase the problem as one of alignment between short sequences of eigenvalues of basic differential operators, which are constructed upon a scalar function defined on the 3D surfaces. Our method therefore seeks for a scalar function that entails this alignment. Differently from existing approaches, we do not require solving for a correspondence between the query and the target, therefore greatly simplifying the optimization process; our core technique is also descriptor-free, as it is driven by the geometry of the two objects as encoded in their operator spectra. We further show that our spectral alignment algorithm provides a remarkably simple alternative to the recent shape-from-spectrum reconstruction approaches. For both applications, we demonstrate improvement over the state-of-the-art either in terms of accuracy or computational cost."}],"article_number":"8886146","conference":{"name":"7th International Conference on 3D Vision","end_date":"2019-09-19","start_date":"2019-09-16","location":"Quebec City, QC, Canada"},"fulldoi":"https://doi.org/10.1109/3dv.2019.00014","date_created":"2024-10-08T13:07:51Z","day":"31","scopus_import":"1","quality_controlled":"1","language":[{"iso":"eng"}],"publication_status":"published","type":"conference","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1906.06226"}],"extern":"1","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_published":"2019-10-31T00:00:00Z","oa_version":"Preprint","publication":"2019 International Conference on 3D Vision (3DV)","citation":{"ieee":"A. Rampini, I. Tallini, M. Ovsjanikov, A. M. Bronstein, and E. Rodola, “Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment,” in <i>2019 International Conference on 3D Vision (3DV)</i>, Quebec City, QC, Canada, 2019.","short":"A. Rampini, I. Tallini, M. Ovsjanikov, A.M. Bronstein, E. Rodola, in:, 2019 International Conference on 3D Vision (3DV), IEEE, 2019.","apa":"Rampini, A., Tallini, I., Ovsjanikov, M., Bronstein, A. M., &#38; Rodola, E. (2019). Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. In <i>2019 International Conference on 3D Vision (3DV)</i>. Quebec City, QC, Canada: IEEE. <a href=\"https://doi.org/10.1109/3dv.2019.00014\">https://doi.org/10.1109/3dv.2019.00014</a>","mla":"Rampini, Arianna, et al. “Correspondence-Free Region Localization for Partial Shape Similarity via Hamiltonian Spectrum Alignment.” <i>2019 International Conference on 3D Vision (3DV)</i>, 8886146, IEEE, 2019, doi:<a href=\"https://doi.org/10.1109/3dv.2019.00014\">10.1109/3dv.2019.00014</a>.","ama":"Rampini A, Tallini I, Ovsjanikov M, Bronstein AM, Rodola E. Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. In: <i>2019 International Conference on 3D Vision (3DV)</i>. IEEE; 2019. doi:<a href=\"https://doi.org/10.1109/3dv.2019.00014\">10.1109/3dv.2019.00014</a>","ista":"Rampini A, Tallini I, Ovsjanikov M, Bronstein AM, Rodola E. 2019. Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. 2019 International Conference on 3D Vision (3DV). 7th International Conference on 3D Vision, 8886146.","chicago":"Rampini, Arianna, Irene Tallini, Maks Ovsjanikov, Alex M. Bronstein, and Emanuele Rodola. “Correspondence-Free Region Localization for Partial Shape Similarity via Hamiltonian Spectrum Alignment.” In <i>2019 International Conference on 3D Vision (3DV)</i>. IEEE, 2019. <a href=\"https://doi.org/10.1109/3dv.2019.00014\">https://doi.org/10.1109/3dv.2019.00014</a>."},"publisher":"IEEE","date_updated":"2024-12-05T15:49:06Z","author":[{"first_name":"Arianna","last_name":"Rampini","full_name":"Rampini, Arianna"},{"full_name":"Tallini, Irene","last_name":"Tallini","first_name":"Irene"},{"full_name":"Ovsjanikov, Maks","first_name":"Maks","last_name":"Ovsjanikov"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","full_name":"Bronstein, Alexander","orcid":"0000-0001-9699-8730","last_name":"Bronstein","first_name":"Alexander"},{"first_name":"Emanuele","last_name":"Rodola","full_name":"Rodola, Emanuele"}],"status":"public","arxiv":1,"year":"2019","title":"Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment","_id":"18257","external_id":{"arxiv":["1906.06226"]},"article_processing_charge":"No","publication_identifier":{"eissn":["2475-7888"],"isbn":["9781728131320"]},"doi":"10.1109/3dv.2019.00014","month":"10"}]