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一种基于水平集的几何约束与数据逼近下的图像分割模型。

A Level Set-Based Model for Image Segmentation under Geometric Constraints and Data Approximation.

作者信息

Khayretdinova Guzel, Apprato Dominique, Gout Christian

机构信息

National Institute for Applied Sciences (INSA Rouen), Laboratoire de Mathématiques de l'INSA, 76000 Rouen, France.

Tomsk State University of Control Systems and Radioelectronics (TUSUR), Television and Control, 634050 Tomsk, Russia.

出版信息

J Imaging. 2023 Dec 22;10(1):2. doi: 10.3390/jimaging10010002.

DOI:10.3390/jimaging10010002
PMID:38248987
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10816950/
Abstract

In this paper, we propose a new model for image segmentation under geometric constraints. We define the geometric constraints and we give a minimization problem leading to a variational equation. This new model based on a minimal surface makes it possible to consider many different applications from image segmentation to data approximation.

摘要

在本文中,我们提出了一种用于几何约束下图像分割的新模型。我们定义了几何约束,并给出了一个导致变分方程的最小化问题。这种基于极小曲面的新模型使得考虑从图像分割到数据逼近等许多不同的应用成为可能。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/632dabbf41e1/jimaging-10-00002-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ec1db84fb4ab/jimaging-10-00002-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ec260ae4c1ed/jimaging-10-00002-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/e5dcf35f12f3/jimaging-10-00002-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/38eef983513f/jimaging-10-00002-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/d14c83d5f165/jimaging-10-00002-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/0975b07007d8/jimaging-10-00002-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/dbd14830d108/jimaging-10-00002-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/064a67b56ef1/jimaging-10-00002-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ca86fbce6a6d/jimaging-10-00002-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/467f312f3979/jimaging-10-00002-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/19f2eadc235b/jimaging-10-00002-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/8055e5e67867/jimaging-10-00002-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/632dabbf41e1/jimaging-10-00002-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ec1db84fb4ab/jimaging-10-00002-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ec260ae4c1ed/jimaging-10-00002-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/e5dcf35f12f3/jimaging-10-00002-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/38eef983513f/jimaging-10-00002-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/d14c83d5f165/jimaging-10-00002-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/0975b07007d8/jimaging-10-00002-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/dbd14830d108/jimaging-10-00002-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/064a67b56ef1/jimaging-10-00002-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/ca86fbce6a6d/jimaging-10-00002-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/467f312f3979/jimaging-10-00002-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/19f2eadc235b/jimaging-10-00002-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/8055e5e67867/jimaging-10-00002-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6881/10816950/632dabbf41e1/jimaging-10-00002-g013.jpg

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