Image Segmentation Using Euler’s Elastica as the Regularization

被引:0
|
作者
Wei Zhu
Xue-Cheng Tai
Tony Chan
机构
[1] University of Alabama,Department of Mathematics
[2] University of Bergen,Department of Mathematics
[3] Hong Kong University of Science and Technology (HKUST),Office of the President
来源
关键词
Image segmentation; Euler’s elastica; Augmented Lagrangian method;
D O I
暂无
中图分类号
学科分类号
摘要
The active contour segmentation model of Chan and Vese has been widely used and generalized in different contexts in the literature. One possible modification is to employ Euler’s elastica as the regularization of active contour. In this paper, we study the new effects of this modification and validate them numerically using the augmented Lagrangian method.
引用
收藏
页码:414 / 438
页数:24
相关论文
共 50 条
  • [1] Image Segmentation Using Euler's Elastica as the Regularization
    Zhu, Wei
    Tai, Xue-Cheng
    Chan, Tony
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (02) : 414 - 438
  • [2] Image Multiplicative Denoising Using Adaptive Euler's Elastica as the Regularization
    Zhang, Yu
    Li, Songsong
    Guo, Zhichang
    Wu, Boying
    Du, Shan
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2022, 90 (02)
  • [3] Image Multiplicative Denoising Using Adaptive Euler’s Elastica as the Regularization
    Yu Zhang
    Songsong Li
    Zhichang Guo
    Boying Wu
    Shan Du
    [J]. Journal of Scientific Computing, 2022, 90
  • [4] Variational Image Regularization with Euler's Elastica Using a Discrete Gradient Scheme
    Ringholmt, Torbjorn
    Lazic, Jasmina
    Schonlieb, Carola-Bibiane
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2018, 11 (04): : 2665 - 2691
  • [5] Blind Image Deconvolution Based on Adaptive Euler’s Elastica Regularization
    Song, Xiuzheng
    Zhang, Jun
    Lu, Jingjing
    Rao, Sanping
    [J]. IAENG International Journal of Computer Science, 2024, 51 (01) : 32 - 38
  • [6] Poisson image restoration via an adaptive Euler's elastica regularization
    Ma, Mingxi
    Yang, Junci
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (02) : 2095 - 2110
  • [7] A method for giant aneurysm segmentation using Euler's elastica
    Chen, Yu
    Courbebaisse, Guy
    Yu, Jianjiang
    Lu, Dongxiang
    Ge, Fei
    [J]. BIOMEDICAL SIGNAL PROCESSING AND CONTROL, 2020, 62
  • [8] Blind Restoration of Poisson Images Using Adaptive Euler's Elastica Regularization
    Cao, Hanwen
    Zhang, Jun
    Rao, Sanping
    Yi, Chao
    He, Mengling
    [J]. ENGINEERING LETTERS, 2024, 32 (10) : 1939 - 1946
  • [9] A Two-stage Image Segmentation Method Using Euler's Elastica Regularized Mumford-Shah Model
    Duan, Yuping
    Chang, Huibin
    Huang, Weimin
    Zhou, Jiayin
    Zeng, Tieyong
    [J]. 2014 22ND INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION (ICPR), 2014, : 118 - 123
  • [10] VESSEL SEGMENTATION USING 3D ELASTICA REGULARIZATION
    El-Zehiry, Noha Youssry
    Grady, Leo
    [J]. 2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 2012, : 1288 - 1291