{"author":[{"first_name":"Chao","full_name":"Chen, Chao","last_name":"Chen","id":"3E92416E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","first_name":"Herbert"}],"publist_id":"3327","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:46:07Z","department":[{"_id":"HeEd"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T12:02:37Z","article_number":"6126271","publication":"Proceedings of the IEEE International Conference on Computer Vision","date_published":"2011-11-06T00:00:00Z","year":"2011","file":[{"relation":"main_file","date_created":"2018-12-12T10:17:28Z","file_name":"IST-2016-540-v1+1_2011-P-08-RunEmpty.pdf","file_size":614050,"date_updated":"2020-07-14T12:46:07Z","content_type":"application/pdf","creator":"system","checksum":"6984684081ba123808b344f9f2e64a8f","access_level":"open_access","file_id":"5282"}],"ddc":["000"],"month":"11","title":"Diffusion runs low on persistence fast","doi":"10.1109/ICCV.2011.6126271","_id":"3313","type":"conference","citation":{"short":"C. Chen, H. Edelsbrunner, in:, Proceedings of the IEEE International Conference on Computer Vision, IEEE, 2011.","apa":"Chen, C., & Edelsbrunner, H. (2011). Diffusion runs low on persistence fast. In Proceedings of the IEEE International Conference on Computer Vision. Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126271","ama":"Chen C, Edelsbrunner H. Diffusion runs low on persistence fast. In: Proceedings of the IEEE International Conference on Computer Vision. IEEE; 2011. doi:10.1109/ICCV.2011.6126271","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.","mla":"Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.” Proceedings of the IEEE International Conference on Computer Vision, 6126271, IEEE, 2011, doi:10.1109/ICCV.2011.6126271.","ieee":"C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in Proceedings of the IEEE International Conference on Computer Vision, Barcelona, Spain, 2011.","chicago":"Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.” In Proceedings of the IEEE International Conference on Computer Vision. IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126271."},"oa_version":"Submitted Version","scopus_import":1,"oa":1,"publisher":"IEEE","publication_status":"published","conference":{"name":"ICCV: International Conference on Computer Vision","end_date":"2011-11-13","start_date":"2011-11-06","location":"Barcelona, Spain"},"status":"public","abstract":[{"lang":"eng","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."}],"date_updated":"2021-01-12T07:42:35Z","quality_controlled":"1","day":"06","has_accepted_license":"1","pubrep_id":"540"}