@inproceedings{dc055971ce5e44348887aa37639be62e,
title = "A Variational Convex Hull Algorithm",
abstract = "Finding the convex hull of a given object or a point set is a very important problem. In this paper, we propose a variational convex hull model and numerical algorithms to solve it. Our model is based on level set representation. Efficient numerical algorithms and implementations based on splitting ideas are given. To test our proposed model, we conduct many experiments for objects represented by binary images, and the results suggest that our model can identify the convex hull accurately. Even more, our model can be easily modified to handle the outliers, and this is also demonstrated by numerical examples.",
keywords = "Convex hull, Image processing, Level set method, Outliers detection",
author = "Lingfeng Li and Shousheng Luo and Xue-Cheng TAI and Jiang Yang",
note = "Funding Information: Acknowledgments. XC Tai would like to acknowledge the support from HKBU startup grant, RG(R)-RC/17-18/02-MATH, and FRG2/17-18/033.; 7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019 ; Conference date: 30-06-2019 Through 04-07-2019",
year = "2019",
month = jun,
day = "5",
doi = "10.1007/978-3-030-22368-7_18",
language = "English",
isbn = "9783030223670",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "224--235",
editor = "Jan Lellmann and Jan Modersitzki and Martin Burger",
booktitle = "Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings",
address = "Germany",
}