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