{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:43:58Z","timestamp":1740120238335,"version":"3.37.3"},"reference-count":43,"publisher":"World Scientific Pub Co Pte Ltd","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Patt. Recogn. Artif. Intell."],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> In this paper, we propose a robust variational segmentation model capable of overcoming the problem of the negative effects of outliers. The proposed method is based on the combination of the characteristics of the generalized mean with the concept of the active contours. The optimization problem raising in this combination employs a power method technique. We demonstrate the performance of the proposed model on a series of sample images from diverse modalities and show an outperforming proposed model in comparison with the state-of-the-art methods. The proposed method shows better or equivalent performance in terms of accuracy and robustness than the conventional state-of-the-art models. The validation of the efficiency of the proposed two-phase algorithm is further extended to vector-valued images and multi-phase formulation. <\/jats:p>","DOI":"10.1142\/s0218001420540269","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T07:02:49Z","timestamp":1575010969000},"page":"2054026","source":"Crossref","is-referenced-by-count":2,"title":["A New Active Contours Image Segmentation Model Driven by Generalized Mean with Outlier Restoration Achievements"],"prefix":"10.1142","volume":"34","author":[{"given":"Haider","family":"Ali","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Peshawar, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amna","family":"Shujjahuddin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Peshawar, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2688-4962","authenticated-orcid":false,"given":"Lavdie","family":"Rada","sequence":"additional","affiliation":[{"name":"Biomedical Engineering Department, Bahcesehir University, Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,3,12]]},"reference":[{"key":"S0218001420540269BIB001","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1155\/2015\/710326","volume":"2015","author":"Akram F.","year":"2015","journal-title":"Comput. 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