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Med. Biol."],"published-print":{"date-parts":[[2024,1,21]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    <jats:italic>Objective.<\/jats:italic>\n                    Nuclei segmentation is crucial for pathologists to accurately classify and grade cancer. However, this process faces significant challenges, such as the complex background structures in pathological images, the high-density distribution of nuclei, and cell adhesion.\n                    <jats:italic>Approach.<\/jats:italic>\n                    In this paper, we present an interactive nuclei segmentation framework that increases the precision of nuclei segmentation. Our framework incorporates expert monitoring to gather as much prior information as possible and accurately segment complex nucleus images through limited pathologist interaction, where only a small portion of the nucleus locations in each image are labeled. The initial contour is determined by the Voronoi diagram generated from the labeled points, which is then input into an optimized weighted convex difference model to regularize partition boundaries in an image. Specifically, we provide theoretical proof of the mathematical model, stating that the objective function monotonically decreases. Furthermore, we explore a postprocessing stage that incorporates histograms, which are simple and easy to handle and prevent arbitrariness and subjectivity in individual choices.\n                    <jats:italic>Main results.<\/jats:italic>\n                    To evaluate our approach, we conduct experiments on both a cervical cancer dataset and a nasopharyngeal cancer dataset. The experimental results demonstrate that our approach achieves competitive performance compared to other methods.\n                    <jats:italic>Significance.<\/jats:italic>\n                    The Voronoi diagram in the paper serves as prior information for the active contour, providing positional information for individual cells. Moreover, the active contour model achieves precise segmentation results while offering mathematical interpretability.\n                  <\/jats:p>","DOI":"10.1088\/1361-6560\/ad0d44","type":"journal-article","created":{"date-parts":[[2023,11,16]],"date-time":"2023-11-16T17:44:05Z","timestamp":1700156645000},"page":"025021","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["An interactive nuclei segmentation framework with Voronoi diagrams and weighted convex difference for cervical cancer pathology images"],"prefix":"10.1088","volume":"69","author":[{"given":"Lin","family":"Yang","sequence":"first","affiliation":[{"name":"Shenzhen Institute of Advanced Technology"},{"name":"Henan University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanyuan","family":"Lei","sequence":"additional","affiliation":[{"name":"Chinese Academy of Medical Sciences and Peking Union Medical College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenxing","family":"Huang","sequence":"additional","affiliation":[{"name":"Shenzhen Institute of Advanced Technology"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4961-0806","authenticated-orcid":true,"given":"Mengxiao","family":"Geng","sequence":"additional","affiliation":[{"name":"Shenzhen Institute of Advanced Technology"},{"name":"Henan University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhou","family":"Liu","sequence":"additional","affiliation":[{"name":"Chinese Academy of Medical Sciences and Peking Union Medical College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baijie","family":"Wang","sequence":"additional","affiliation":[{"name":"Chinese Academy of Medical Sciences and Peking Union Medical College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dehong","family":"Luo","sequence":"additional","affiliation":[{"name":"Chinese Academy of Medical Sciences and Peking Union Medical College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenting","family":"Huang","sequence":"additional","affiliation":[{"name":"Chinese Academy of Medical Sciences and Peking Union Medical College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1358-9777","authenticated-orcid":true,"given":"Dong","family":"Liang","sequence":"additional","affiliation":[{"name":"Shenzhen Institute of Advanced Technology"},{"name":"Key Laboratory of Biomedical Imaging Science and System, Chinese Academy of Sciences, Shenzhen 518055,"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhifeng","family":"Pang","sequence":"additional","affiliation":[{"name":"Henan University"},{"name":"Wuhan University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0618-6240","authenticated-orcid":true,"given":"Zhanli","family":"Hu","sequence":"additional","affiliation":[{"name":"Shenzhen Institute of Advanced Technology"},{"name":"Key Laboratory of Biomedical Imaging Science and System, Chinese Academy of Sciences, Shenzhen 518055,"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"266","published-online":{"date-parts":[[2024,1,12]]},"reference":[{"key":"pmbad0d44bib1","doi-asserted-by":"publisher","first-page":"E191","DOI":"10.1016\/S2214-109X(19)30482-6","type":"journal-article","article-title":"Estimates of incidence and mortality of cervical cancer in 2018: a worldwide analysis","volume":"8","author":"Arbyn","year":"2020","journal-title":"Lancet Global Health"},{"key":"pmbad0d44bib2","doi-asserted-by":"publisher","first-page":"703","DOI":"10.1038\/s41571-019-0252-y","type":"journal-article","article-title":"Artificial intelligence in digital pathology\u2014new tools for diagnosis and precision oncology","volume":"16","author":"Bera","year":"2019","journal-title":"Nat. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2023-07-01","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2023-11-16","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2024-01-12","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}