{"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","month":"11","title":"Diffusion runs low on persistence fast","doi":"10.1109/ICCV.2011.6126271","publication_status":"published","department":[{"_id":"HeEd"}],"date_created":"2018-12-11T12:02:37Z","oa":1,"file_date_updated":"2020-07-14T12:46:07Z","author":[{"id":"3E92416E-F248-11E8-B48F-1D18A9856A87","full_name":"Chen, Chao","last_name":"Chen","first_name":"Chao"},{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","first_name":"Herbert"}],"article_number":"6126271","_id":"3313","quality_controlled":"1","date_updated":"2024-10-09T20:54:33Z","publication":"Proceedings of the IEEE International Conference on Computer Vision","corr_author":"1","publisher":"IEEE","status":"public","day":"06","has_accepted_license":"1","scopus_import":1,"conference":{"name":"ICCV: International Conference on Computer Vision","location":"Barcelona, Spain","start_date":"2011-11-06","end_date":"2011-11-13"},"citation":{"short":"C. Chen, H. Edelsbrunner, in:, Proceedings of the IEEE International Conference on Computer Vision, IEEE, 2011.","mla":"Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.” <i>Proceedings of the IEEE International Conference on Computer Vision</i>, 6126271, IEEE, 2011, doi:<a href=\"https://doi.org/10.1109/ICCV.2011.6126271\">10.1109/ICCV.2011.6126271</a>.","ista":"Chen C, Edelsbrunner H. 2011. Diffusion runs low on persistence fast. Proceedings of the IEEE International Conference on Computer Vision. ICCV: International Conference on Computer Vision, 6126271.","ieee":"C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in <i>Proceedings of the IEEE International Conference on Computer Vision</i>, Barcelona, Spain, 2011.","ama":"Chen C, Edelsbrunner H. Diffusion runs low on persistence fast. In: <i>Proceedings of the IEEE International Conference on Computer Vision</i>. IEEE; 2011. doi:<a href=\"https://doi.org/10.1109/ICCV.2011.6126271\">10.1109/ICCV.2011.6126271</a>","chicago":"Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.” In <i>Proceedings of the IEEE International Conference on Computer Vision</i>. IEEE, 2011. <a href=\"https://doi.org/10.1109/ICCV.2011.6126271\">https://doi.org/10.1109/ICCV.2011.6126271</a>.","apa":"Chen, C., &#38; Edelsbrunner, H. (2011). Diffusion runs low on persistence fast. In <i>Proceedings of the IEEE International Conference on Computer Vision</i>. Barcelona, Spain: IEEE. <a href=\"https://doi.org/10.1109/ICCV.2011.6126271\">https://doi.org/10.1109/ICCV.2011.6126271</a>"},"publist_id":"3327","abstract":[{"text":"Interpreting an image as a function on a compact sub- set of the Euclidean plane, we get its scale-space by diffu- sion, spreading the image over the entire plane. This gener- ates a 1-parameter family of functions alternatively defined as convolutions with a progressively wider Gaussian ker- nel. We prove that the corresponding 1-parameter family of persistence diagrams have norms that go rapidly to zero as time goes to infinity. This result rationalizes experimental observations about scale-space. We hope this will lead to targeted improvements of related computer vision methods.","lang":"eng"}],"language":[{"iso":"eng"}],"type":"conference","year":"2011","pubrep_id":"540","ddc":["000"],"date_published":"2011-11-06T00:00:00Z","file":[{"creator":"system","access_level":"open_access","date_updated":"2020-07-14T12:46:07Z","relation":"main_file","file_size":614050,"date_created":"2018-12-12T10:17:28Z","file_id":"5282","checksum":"6984684081ba123808b344f9f2e64a8f","file_name":"IST-2016-540-v1+1_2011-P-08-RunEmpty.pdf","content_type":"application/pdf"}],"oa_version":"Submitted Version"}