Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2020 Dec 3;10:21061. doi: 10.1038/s41598-020-77933-y

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

© The Author(s) 2020

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

PMC Copyright notice

(Left) Three complexes $K_{t}$ at different time steps in the border modified smoothed image ( $l = 25$ ). (Top Right) The resulting persistence diagram and finite lifetimes obtained by rotating the diagram. (Bottom Right) The identified component—the single component with finite lifetimes above the thresholds marked by the red striped line—right before its lowest death-time, as well as its birth-pixel and value. Ground truth segmentation borders are marked in red on all images. Lesion image from ISIC 2018^11,12.