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