Image Segmentation Based on the Hybrid Bias Field Correction
•We proposed a novel hybrid bias field correction model to segment the intensity inhomogeneous image.•We added a prior constraint to the multiplicative bias field to improve the robustness of the proposed model.•Since the proposed model is a constrained optimization problem and also the nonsmooth pr...
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| Published in | Applied mathematics and computation Vol. 452; p. 128050 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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01.09.2023
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| Abstract | •We proposed a novel hybrid bias field correction model to segment the intensity inhomogeneous image.•We added a prior constraint to the multiplicative bias field to improve the robustness of the proposed model.•Since the proposed model is a constrained optimization problem and also the nonsmooth problem, the alternating direction method can be used to solve it.•Numerical experiments on the natural images and the medical images demonstrate performance improvement over several state-of-the-art models.
Image segmentation is the foundation for analyzing and understanding high-level images. How to effectively segment an intensity inhomogeneous image into several meaningful regions in terms of human visual perception and ensure that the segmented regions are consistent at different resolutions is still a very challenging task. In order to describe the structure information of the intensity inhomogeneous efficiently, this paper proposes a novel hybrid bias field correction model by decoupling the multiplicative bias field and the additive bias field. These kinds of bias fields are assumed to be smooth, so can employ the Sobolev space W1,2 to feature them and use a constraint to the multiplicative bias field. Since the proposed model is a constrained optimization problem, we use the Lagrangian multiplier method to transform it into an unconstrained optimization problem, and then the alternating direction method can be used to solve it. In addition, we also discuss some mathematical properties of our proposed model and algorithm. Numerical experiments on the natural images and the medical images demonstrate performance improvement over several state-of-the-art models. |
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| AbstractList | •We proposed a novel hybrid bias field correction model to segment the intensity inhomogeneous image.•We added a prior constraint to the multiplicative bias field to improve the robustness of the proposed model.•Since the proposed model is a constrained optimization problem and also the nonsmooth problem, the alternating direction method can be used to solve it.•Numerical experiments on the natural images and the medical images demonstrate performance improvement over several state-of-the-art models.
Image segmentation is the foundation for analyzing and understanding high-level images. How to effectively segment an intensity inhomogeneous image into several meaningful regions in terms of human visual perception and ensure that the segmented regions are consistent at different resolutions is still a very challenging task. In order to describe the structure information of the intensity inhomogeneous efficiently, this paper proposes a novel hybrid bias field correction model by decoupling the multiplicative bias field and the additive bias field. These kinds of bias fields are assumed to be smooth, so can employ the Sobolev space W1,2 to feature them and use a constraint to the multiplicative bias field. Since the proposed model is a constrained optimization problem, we use the Lagrangian multiplier method to transform it into an unconstrained optimization problem, and then the alternating direction method can be used to solve it. In addition, we also discuss some mathematical properties of our proposed model and algorithm. Numerical experiments on the natural images and the medical images demonstrate performance improvement over several state-of-the-art models. |
| ArticleNumber | 128050 |
| Author | Ge, Hong Guan, Zhenyan Li, Yue Pang, Zhi-Feng Chen, Ke |
| Author_xml | – sequence: 1 givenname: Zhi-Feng surname: Pang fullname: Pang, Zhi-Feng email: zhifengpang@163.com organization: College of Mathematics and Statistics, Henan University, Kaifeng, 475004, Henan Province, China – sequence: 2 givenname: Zhenyan surname: Guan fullname: Guan, Zhenyan email: guanzhenyan0925@163.com organization: College of Mathematics and Statistics, Henan University, Kaifeng, 475004, Henan Province, China – sequence: 3 givenname: Yue surname: Li fullname: Li, Yue email: liyue7278@163.com organization: College of Mathematics and Statistics, Henan University, Kaifeng, 475004, Henan Province, China – sequence: 4 givenname: Ke orcidid: 0000-0002-6093-6623 surname: Chen fullname: Chen, Ke email: k.chen@liverpool.ac.uk organization: Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, UK – sequence: 5 givenname: Hong surname: Ge fullname: Ge, Hong email: gehong666@126.com organization: Department of Radiation Oncology, The Affiliated Cancer Hospital of Zhengzhou University,Zhengzhou 450008, China |
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| Cites_doi | 10.1016/j.sigpro.2021.108017 10.1109/TIP.2015.2451957 10.1016/j.apnum.2018.01.016 10.1137/20M1343956 10.1016/j.eswa.2021.115633 10.1007/s11042-021-10738-x 10.1109/83.902291 10.1016/j.patcog.2009.08.002 10.1007/s10915-018-0757-z 10.1023/A:1007979827043 10.1016/j.patcog.2022.108658 10.1137/090753887 10.1007/s12532-015-0078-2 10.1007/s10915-016-0280-z 10.1016/j.asoc.2018.04.031 10.1016/j.compmedimag.2020.101748 10.1016/j.patcog.2015.08.022 10.1016/j.jcp.2017.08.020 10.1364/JOSA.61.000001 10.1016/j.mri.2014.03.010 10.1016/j.dsp.2021.102989 10.1016/j.sigpro.2022.108881 10.1016/j.bspc.2021.103207 10.1023/A:1020874308076 10.1002/ima.22010 10.1016/j.sigpro.2020.107564 10.3182/20120711-3-BE-2027.00310 10.1016/j.apm.2019.11.005 10.1109/JTEHM.2019.2898870 10.1109/TIP.2018.2825101 10.1007/s11042-018-6735-5 10.1371/journal.pone.0191827 10.1109/TIP.2012.2188033 10.1007/BF00133570 10.1007/s10851-020-01001-3 10.1049/ipr2.12419 10.1007/s10915-013-9710-3 10.1016/j.patcog.2019.02.009 10.1561/2200000016 10.1007/s11060-017-2420-1 10.1016/j.apm.2017.10.018 10.3934/ipi.2019030 |
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| Keywords | Alternating direction method Image segmentation Intensity inhomogeneity Multiplicative bias field Additive bias field |
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| References | Wang, Huang, Xu (bib0038) 2010; 43 Sun, Tai, Yuan (bib0031) 2021; 43 Caselles, Kimmel, Sapiro (bib0005) 1997; 22 Li, Gore, Davatzikos (bib0020) 2014; 32 Liu, Wali, Duan, Chang, Wu, Tai (bib0022) 2018; 12 Mazurowski, Clark, Czarnek (bib0026) 2017; 133 Subudhi, Veerakumar, Esakkirajan, Ghosh (bib0034) 2019; 7 Ali, Rada, Badshah (bib0002) 2018; 27 Soomro, Munir, Choi (bib0032) 2018; 13 Li, Ng, Li (bib0019) 2010; 70 Niu, Cao, Liu, Guo (bib0028) 2017 Wu, Gu, Wang, Zeng (bib0037) 2021; 183 Cheng, Cao, Yang, Zhang, Chen (bib0007) 2022; 128 Evans (bib0009) 2010 Memon, Soomro, Shahid (bib0027) 2020 Wu, Li, Zhang, Liu (bib0042) 2018; 54 Saman, Narayanan (bib0033) 2021; 80 Li, Kao, Gore, Ding (bib0018) 2007 Fang, He, Liu, Yuan (bib0010) 2015; 7 Brás, Bioucas-Dias, Martins, Serra (bib0004) 2012; 21 Chan, Vese (bib0006) 2001; 10 Land, McCann (bib0021) 1971; 61 Yang, Zhong, Duan, Zeng (bib0045) 2020; 173 Zosso, An, Stevick, Takaki (bib0050) 2017; 11 Venkatesh, Sharma, Singh (bib0035) 2020; 84 Boyd, Parikh, Chu, Peleato, Eckstein (bib0003) 2011; 3 Kass, Witkin, Terzopoulos (bib0015) 1998; 1 Ali, Badshah, Chen, AliKhan (bib0001) 2016; 51 Zhang, Zhang, Lam, Zhang (bib0048) 2015; 46 Wang, Yin, Zeng (bib0044) 2019; 78 Powell (bib0029) 1981 Mahata, Kahali, Adhikari, Sing (bib0023) 2018; 68 Zhu, Tai, Chan (bib0049) 2013; 57 Wang, Li, Wei, Wang (bib0039) 2017; 350 Li, Huang, Ding, Gatenby, Metaxas, Gore (bib0016) 2016; 20 Vese, Chan (bib0036) 2002; 50 Jung (bib0013) 2017; 70 Duan, Chang, Huang, Zhou, Lu, Wu (bib0008) 2015; 24 Gao, Yang, Yan (bib0011) 2012; 22 Jin, Wu, Min, Ng (bib0014) 2020; 79 Yan, Liu, Huang, Tai (bib0047) 2019; 13 Min, Xia, Han, Wang (bib0024) 2019; 91 L. Min, Q. Cui, Z. Jin, T. Zeng, Inhomogeneous image segmentation based on local constant and global smoothness priors, 2021, Digital Signal Processing, 111, 102989 Pang, Geng, Zhang, Zhou (bib0030) 2023; 205 Weng, Dong, Lei (bib0041) 2021; 185 Guo, Xue, Wu (bib0012) 2021; 63 Wahlberg, Boyd, Annergren, Wan (bib0043) 2012; 45 Yu, He, Pan (bib0046) 2019; 78 Li, Chen, Feng, Li, Yu (bib0017) 2022; 71 Wang, Lei, Cui, Zhang, Meng, Nandi (bib0040) 2022; 16 Cheng (10.1016/j.amc.2023.128050_bib0007) 2022; 128 Guo (10.1016/j.amc.2023.128050_bib0012) 2021; 63 Chan (10.1016/j.amc.2023.128050_bib0006) 2001; 10 Zhang (10.1016/j.amc.2023.128050_bib0048) 2015; 46 Min (10.1016/j.amc.2023.128050_bib0024) 2019; 91 Niu (10.1016/j.amc.2023.128050_bib0028) 2017 Wu (10.1016/j.amc.2023.128050_bib0037) 2021; 183 Li (10.1016/j.amc.2023.128050_bib0020) 2014; 32 Yang (10.1016/j.amc.2023.128050_bib0045) 2020; 173 Land (10.1016/j.amc.2023.128050_bib0021) 1971; 61 Fang (10.1016/j.amc.2023.128050_bib0010) 2015; 7 Li (10.1016/j.amc.2023.128050_bib0016) 2016; 20 Subudhi (10.1016/j.amc.2023.128050_bib0034) 2019; 7 Li (10.1016/j.amc.2023.128050_sbref0017) 2022; 71 Wang (10.1016/j.amc.2023.128050_bib0039) 2017; 350 Liu (10.1016/j.amc.2023.128050_bib0022) 2018; 12 Soomro (10.1016/j.amc.2023.128050_sbref0031) 2018; 13 Saman (10.1016/j.amc.2023.128050_bib0033) 2021; 80 Evans (10.1016/j.amc.2023.128050_bib0009) 2010 Yu (10.1016/j.amc.2023.128050_bib0046) 2019; 78 Vese (10.1016/j.amc.2023.128050_bib0036) 2002; 50 10.1016/j.amc.2023.128050_bib0025 Venkatesh (10.1016/j.amc.2023.128050_bib0035) 2020; 84 Jung (10.1016/j.amc.2023.128050_bib0013) 2017; 70 Li (10.1016/j.amc.2023.128050_bib0018) 2007 Ali (10.1016/j.amc.2023.128050_bib0001) 2016; 51 Zhu (10.1016/j.amc.2023.128050_bib0049) 2013; 57 Brás (10.1016/j.amc.2023.128050_bib0004) 2012; 21 Jin (10.1016/j.amc.2023.128050_bib0014) 2020; 79 Weng (10.1016/j.amc.2023.128050_bib0041) 2021; 185 Powell (10.1016/j.amc.2023.128050_bib0029) 1981 Yan (10.1016/j.amc.2023.128050_bib0047) 2019; 13 Gao (10.1016/j.amc.2023.128050_bib0011) 2012; 22 Ali (10.1016/j.amc.2023.128050_bib0002) 2018; 27 Zosso (10.1016/j.amc.2023.128050_bib0050) 2017; 11 Li (10.1016/j.amc.2023.128050_bib0019) 2010; 70 Pang (10.1016/j.amc.2023.128050_bib0030) 2023; 205 Wu (10.1016/j.amc.2023.128050_bib0042) 2018; 54 Boyd (10.1016/j.amc.2023.128050_bib0003) 2011; 3 Mahata (10.1016/j.amc.2023.128050_bib0023) 2018; 68 Wang (10.1016/j.amc.2023.128050_bib0040) 2022; 16 Wang (10.1016/j.amc.2023.128050_bib0038) 2010; 43 Sun (10.1016/j.amc.2023.128050_sbref0030) 2021; 43 Memon (10.1016/j.amc.2023.128050_bib0027) 2020 Wang (10.1016/j.amc.2023.128050_bib0044) 2019; 78 Caselles (10.1016/j.amc.2023.128050_bib0005) 1997; 22 Wahlberg (10.1016/j.amc.2023.128050_bib0043) 2012; 45 Mazurowski (10.1016/j.amc.2023.128050_bib0026) 2017; 133 Kass (10.1016/j.amc.2023.128050_bib0015) 1998; 1 Duan (10.1016/j.amc.2023.128050_bib0008) 2015; 24 |
| References_xml | – volume: 84 start-page: 101748 year: 2020 ident: bib0035 article-title: Intensity inhomogeneity correction of mri images using inhomonet publication-title: Computerized Medical Imaging and Graphics contributor: fullname: Singh – volume: 350 start-page: 657 year: 2017 end-page: 667 ident: bib0039 article-title: An efficient iterative thresholding method for image segmentation publication-title: Journal of Computational Physics contributor: fullname: Wang – volume: 183 start-page: 108017 year: 2021 ident: bib0037 article-title: Adaptive total variation based image segmentation with semi-proximal alternating minimization publication-title: Signal Processing contributor: fullname: Zeng – volume: 22 start-page: 61 year: 1997 end-page: 79 ident: bib0005 article-title: Geodesic active contours publication-title: International Journal of Computer Vision contributor: fullname: Sapiro – volume: 51 start-page: 27 year: 2016 end-page: 42 ident: bib0001 article-title: A variational model with hybrid images data fitting energies for segmentation of images with intensity inhomogeneity publication-title: Pattern Recognition contributor: fullname: AliKhan – volume: 16 start-page: 1243 year: 2022 end-page: 1267 ident: bib0040 article-title: Medical image segmentation using deep learning:a survey publication-title: IET Image Processing contributor: fullname: Nandi – volume: 27 start-page: 3729 year: 2018 end-page: 3738 ident: bib0002 article-title: Image segmentation for intensity inhomogeneity in presence of high noise publication-title: IEEE Transactions on Image Processing contributor: fullname: Badshah – volume: 70 start-page: 2750-2770 year: 2010 ident: bib0019 article-title: Variational fuzzy mumford-shah model for image segmentation publication-title: SIAM Journal on Applied Mathematics contributor: fullname: Li – volume: 63 start-page: 356 year: 2021 end-page: 379 ident: bib0012 article-title: Effective two-stage image segmentation: a new non-lipschitz decomposition approach with convergent algorithm publication-title: Journal of Mathematical Imaging and Vision contributor: fullname: Wu – volume: 24 start-page: 3927 year: 2015 end-page: 3938 ident: bib0008 article-title: The publication-title: IEEE Transactions on Image Processing contributor: fullname: Wu – year: 1981 ident: bib0029 article-title: Approximation Theory and Methods contributor: fullname: Powell – volume: 32 start-page: 913-923 year: 2014 ident: bib0020 article-title: Multiplicative intrinsic component optimization (MICO) for MRI bias field estimation and tissue segmentation publication-title: Magnetic Resonance Imaging contributor: fullname: Davatzikos – volume: 22 start-page: 103 year: 2012 end-page: 113 ident: bib0011 article-title: A local modified chan-vese model for segmenting inhomogeneous multiphase images publication-title: International Journal of Imaging Systems and Technology contributor: fullname: Yan – volume: 50 start-page: 271 year: 2002 end-page: 293 ident: bib0036 article-title: A multiphase level set framework for image segmentation using the mumford and shah model publication-title: International Journal of Computer Vision contributor: fullname: Chan – volume: 13 start-page: 653 year: 2019 end-page: 677 ident: bib0047 article-title: A dual EM algorithm for TV regularized gaussian mixture model in image segmentation publication-title: Inverse Problems & Imaging contributor: fullname: Tai – volume: 91 start-page: 69 year: 2019 end-page: 85 ident: bib0024 article-title: A multi-scale level set method based on local features for segmentation of images with intensity inhomogeneity publication-title: Pattern Recognition contributor: fullname: Wang – volume: 128 start-page: 108658 year: 2022 ident: bib0007 article-title: A spatially constrained skew student’s-t mixture model for brain MR image segmentation and bias field correction publication-title: Pattern Recognition contributor: fullname: Chen – volume: 133 start-page: 27 year: 2017 end-page: 35 ident: bib0026 article-title: Radiogenomics of lower-grade glioma: algorithmically-assessed tumor shape is associated with tumor genomic subtypes and patient outcomes in a multi-institutional study with the cancer genome atlas data publication-title: Journal of Neuro-Oncology contributor: fullname: Czarnek – volume: 173 start-page: 107564 year: 2020 ident: bib0045 article-title: A weighted bounded hessian variational model for image labeling and segmentation publication-title: Signal Processing contributor: fullname: Zeng – volume: 71 start-page: 103207 year: 2022 ident: bib0017 article-title: Bias correction of intensity inhomogeneous images hybridized with superpixel segmentation publication-title: Biomedical Signal Processing and Control contributor: fullname: Yu – volume: 61 start-page: 1 year: 1971 end-page: 11 ident: bib0021 article-title: Lightness and retinex theory publication-title: Journal of the Optical Society of America contributor: fullname: McCann – volume: 70 start-page: 1229 year: 2017 end-page: 1261 ident: bib0013 article-title: Piecewise-smooth image segmentation models with publication-title: Journal of Scientific Computing contributor: fullname: Jung – volume: 10 start-page: 266-277 year: 2001 ident: bib0006 article-title: Active contours without edges publication-title: IEEE Transactions on Image Processing contributor: fullname: Vese – volume: 78 start-page: 29 year: 2019 end-page: 63 ident: bib0044 article-title: Global convergence of ADMM in nonconvex nonsmooth optimization publication-title: Journal of Scientific Computing contributor: fullname: Zeng – volume: 43 start-page: 603 year: 2010 end-page: 618 ident: bib0038 article-title: An efficient local chan-vese model for image segmentation publication-title: Pattern Recognition contributor: fullname: Xu – volume: 46 start-page: 546-557 year: 2015 ident: bib0048 article-title: A level set approach to image segmentation with intensity inhomogeneity publication-title: IEEE Transactions on Cybernetics contributor: fullname: Zhang – volume: 11 start-page: 577-600 year: 2017 ident: bib0050 article-title: Image segmentation with dynamic artifacts detection and bias correction publication-title: Inverse Problems and Imaging contributor: fullname: Takaki – volume: 185 start-page: 115633 year: 2021 ident: bib0041 article-title: A level set method based on additive bias correction for image segmentation publication-title: Expert Systems with Applications contributor: fullname: Lei – volume: 205 start-page: 108881 year: 2023 ident: bib0030 article-title: Adaptive weighted curvature-based active contour for ultrasonic and 3t/5t MR image segmentation publication-title: Signal Processing contributor: fullname: Zhou – start-page: 1 year: 2007 end-page: 7 ident: bib0018 article-title: Implicit active contours driven by local binary fitting energy publication-title: IEEE Conference on Computer Vision and Pattern Recognition contributor: fullname: Ding – start-page: 308 year: 2017 end-page: 311 ident: bib0028 article-title: A novel acm for segmentation of medical image with intensity inhomogeneity publication-title: The 2nd IEEE International Conference on Computational Intelligence and Applications (ICCIA) contributor: fullname: Guo – volume: 57 start-page: 414 year: 2013 end-page: 438 ident: bib0049 article-title: Image segmentation using eulers elastica as the regularization publication-title: Journal of Scientific Computing contributor: fullname: Chan – volume: 45 start-page: 83-88 year: 2012 ident: bib0043 article-title: An ADMM algorithm for a class of total variation regularized estimation problems publication-title: IFAC Proceedings Volumes contributor: fullname: Wan – volume: 54 start-page: 697 year: 2018 end-page: 709 ident: bib0042 article-title: A retinex modulated piecewise constant variational model for image segmentation and bias correction publication-title: Applied Mathematical Modelling contributor: fullname: Liu – volume: 21 start-page: 3004-3016 year: 2012 ident: bib0004 article-title: An alternating direction algorithm for total variation reconstruction of distributed parameters publication-title: IEEE Transactions on Image Processing contributor: fullname: Serra – volume: 68 start-page: 586 year: 2018 end-page: 596 ident: bib0023 article-title: Local contextual information and gaussian function induced fuzzy clustering algorithm for brain MR image segmentation and intensity inhomogeneity estimation publication-title: Applied Soft Computing contributor: fullname: Sing – volume: 20 start-page: 7 year: 2016 end-page: 2007 ident: bib0016 article-title: A level set method for image segmentation in the presence of intensity inhomogeneities with application to MRI publication-title: IEEE Transactions on Image Processing contributor: fullname: Gore – volume: 12 start-page: 370 year: 2018 end-page: 402 ident: bib0022 article-title: Proximal ADMM for euler elastica based image decomposition model publication-title: Numerical Mathematics: Theory, Methods and Applications contributor: fullname: Tai – start-page: 6317415 year: 2020 ident: bib0027 article-title: Segmentation of intensity corrupted medical images using adaptive weight-based hybrid active contours publication-title: Computational and Mathematical Methods in Medicine contributor: fullname: Shahid – volume: 43 start-page: 455 year: 2021 end-page: 478 ident: bib0031 article-title: Efficient and convergent preconditioned ADMM for the potts models publication-title: SIAM Journal on Scientific Computing contributor: fullname: Yuan – volume: 80 start-page: 21925 year: 2021 end-page: 21954 ident: bib0033 article-title: Active contour model driven by optimized energy functionals for mr brain tumor segmentation with intensity inhomogeneity correction publication-title: Multimedia Tools and Applications contributor: fullname: Narayanan – volume: 1 start-page: 321 year: 1998 end-page: 331 ident: bib0015 article-title: Snakes:active contour models publication-title: International Journal of Computer Vision contributor: fullname: Terzopoulos – volume: 78 start-page: 11779 year: 2019 end-page: 11798 ident: bib0046 article-title: A novel segmentation model for medical images with intensity inhomogeneity based on adaptive perturbation publication-title: Multimedia Tools and Applications contributor: fullname: Pan – volume: 13 year: 2018 ident: bib0032 article-title: Hybrid two-stage active contour method with region and edge information for intensity inhomogeneous image segmentation publication-title: PloS One contributor: fullname: Choi – volume: 7 start-page: 1 year: 2019 end-page: 9 ident: bib0034 article-title: Context dependent fuzzy associated statistical model for intensity inhomogeneity correction from magnetic resonance images publication-title: IEEE Journal of Translational Engineering in Health and Medicine contributor: fullname: Ghosh – volume: 7 start-page: 149 year: 2015 end-page: 187 ident: bib0010 article-title: Generalized alternating direction method of multipliers: new theoretical insights and applications publication-title: Mathematical Programming Computation contributor: fullname: Yuan – volume: 3 start-page: 1 year: 2011 end-page: 122 ident: bib0003 article-title: Distributed optimization and statistical learning via the alternating direction method of multipliers publication-title: Foundations and Trends in Machine Learning contributor: fullname: Eckstein – volume: 79 start-page: 52 year: 2020 end-page: 67 ident: bib0014 article-title: A retinex-based total variation approach for image segmentation and bias correction publication-title: Applied Mathematical Modelling contributor: fullname: Ng – year: 2010 ident: bib0009 article-title: Partial differential equations publication-title: American Mathematical Society contributor: fullname: Evans – volume: 183 start-page: 108017 year: 2021 ident: 10.1016/j.amc.2023.128050_bib0037 article-title: Adaptive total variation based image segmentation with semi-proximal alternating minimization publication-title: Signal Processing doi: 10.1016/j.sigpro.2021.108017 contributor: fullname: Wu – volume: 24 start-page: 3927 issue: 11 year: 2015 ident: 10.1016/j.amc.2023.128050_bib0008 article-title: The l0 regularized mumford-shah model for bias correction and segmentation of medical images publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2015.2451957 contributor: fullname: Duan – year: 1981 ident: 10.1016/j.amc.2023.128050_bib0029 contributor: fullname: Powell – volume: 12 start-page: 370 year: 2018 ident: 10.1016/j.amc.2023.128050_bib0022 article-title: Proximal ADMM for euler elastica based image decomposition model publication-title: Numerical Mathematics: Theory, Methods and Applications doi: 10.1016/j.apnum.2018.01.016 contributor: fullname: Liu – volume: 43 start-page: 455 year: 2021 ident: 10.1016/j.amc.2023.128050_sbref0030 article-title: Efficient and convergent preconditioned ADMM for the potts models publication-title: SIAM Journal on Scientific Computing doi: 10.1137/20M1343956 contributor: fullname: Sun – volume: 185 start-page: 115633 year: 2021 ident: 10.1016/j.amc.2023.128050_bib0041 article-title: A level set method based on additive bias correction for image segmentation publication-title: Expert Systems with Applications doi: 10.1016/j.eswa.2021.115633 contributor: fullname: Weng – volume: 80 start-page: 21925 year: 2021 ident: 10.1016/j.amc.2023.128050_bib0033 article-title: Active contour model driven by optimized energy functionals for mr brain tumor segmentation with intensity inhomogeneity correction publication-title: Multimedia Tools and Applications doi: 10.1007/s11042-021-10738-x contributor: fullname: Saman – volume: 46 start-page: 546-557 issue: 2 year: 2015 ident: 10.1016/j.amc.2023.128050_bib0048 article-title: A level set approach to image segmentation with intensity inhomogeneity publication-title: IEEE Transactions on Cybernetics contributor: fullname: Zhang – volume: 11 start-page: 577-600 issue: 3 year: 2017 ident: 10.1016/j.amc.2023.128050_bib0050 article-title: Image segmentation with dynamic artifacts detection and bias correction publication-title: Inverse Problems and Imaging contributor: fullname: Zosso – volume: 10 start-page: 266-277 issue: 2 year: 2001 ident: 10.1016/j.amc.2023.128050_bib0006 article-title: Active contours without edges publication-title: IEEE Transactions on Image Processing doi: 10.1109/83.902291 contributor: fullname: Chan – volume: 43 start-page: 603 year: 2010 ident: 10.1016/j.amc.2023.128050_bib0038 article-title: An efficient local chan-vese model for image segmentation publication-title: Pattern Recognition doi: 10.1016/j.patcog.2009.08.002 contributor: fullname: Wang – volume: 78 start-page: 29 issue: 1 year: 2019 ident: 10.1016/j.amc.2023.128050_bib0044 article-title: Global convergence of ADMM in nonconvex nonsmooth optimization publication-title: Journal of Scientific Computing doi: 10.1007/s10915-018-0757-z contributor: fullname: Wang – volume: 22 start-page: 61 year: 1997 ident: 10.1016/j.amc.2023.128050_bib0005 article-title: Geodesic active contours publication-title: International Journal of Computer Vision doi: 10.1023/A:1007979827043 contributor: fullname: Caselles – volume: 128 start-page: 108658 year: 2022 ident: 10.1016/j.amc.2023.128050_bib0007 article-title: A spatially constrained skew student’s-t mixture model for brain MR image segmentation and bias field correction publication-title: Pattern Recognition doi: 10.1016/j.patcog.2022.108658 contributor: fullname: Cheng – start-page: 6317415 year: 2020 ident: 10.1016/j.amc.2023.128050_bib0027 article-title: Segmentation of intensity corrupted medical images using adaptive weight-based hybrid active contours publication-title: Computational and Mathematical Methods in Medicine contributor: fullname: Memon – volume: 70 start-page: 2750-2770 issue: 7 year: 2010 ident: 10.1016/j.amc.2023.128050_bib0019 article-title: Variational fuzzy mumford-shah model for image segmentation publication-title: SIAM Journal on Applied Mathematics doi: 10.1137/090753887 contributor: fullname: Li – volume: 7 start-page: 149 year: 2015 ident: 10.1016/j.amc.2023.128050_bib0010 article-title: Generalized alternating direction method of multipliers: new theoretical insights and applications publication-title: Mathematical Programming Computation doi: 10.1007/s12532-015-0078-2 contributor: fullname: Fang – volume: 70 start-page: 1229 year: 2017 ident: 10.1016/j.amc.2023.128050_bib0013 article-title: Piecewise-smooth image segmentation models with l1 data-fidelity terms publication-title: Journal of Scientific Computing doi: 10.1007/s10915-016-0280-z contributor: fullname: Jung – volume: 68 start-page: 586 year: 2018 ident: 10.1016/j.amc.2023.128050_bib0023 article-title: Local contextual information and gaussian function induced fuzzy clustering algorithm for brain MR image segmentation and intensity inhomogeneity estimation publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2018.04.031 contributor: fullname: Mahata – volume: 84 start-page: 101748 year: 2020 ident: 10.1016/j.amc.2023.128050_bib0035 article-title: Intensity inhomogeneity correction of mri images using inhomonet publication-title: Computerized Medical Imaging and Graphics doi: 10.1016/j.compmedimag.2020.101748 contributor: fullname: Venkatesh – volume: 51 start-page: 27 year: 2016 ident: 10.1016/j.amc.2023.128050_bib0001 article-title: A variational model with hybrid images data fitting energies for segmentation of images with intensity inhomogeneity publication-title: Pattern Recognition doi: 10.1016/j.patcog.2015.08.022 contributor: fullname: Ali – volume: 350 start-page: 657 year: 2017 ident: 10.1016/j.amc.2023.128050_bib0039 article-title: An efficient iterative thresholding method for image segmentation publication-title: Journal of Computational Physics doi: 10.1016/j.jcp.2017.08.020 contributor: fullname: Wang – volume: 61 start-page: 1 year: 1971 ident: 10.1016/j.amc.2023.128050_bib0021 article-title: Lightness and retinex theory publication-title: Journal of the Optical Society of America doi: 10.1364/JOSA.61.000001 contributor: fullname: Land – volume: 32 start-page: 913-923 issue: 7 year: 2014 ident: 10.1016/j.amc.2023.128050_bib0020 article-title: Multiplicative intrinsic component optimization (MICO) for MRI bias field estimation and tissue segmentation publication-title: Magnetic Resonance Imaging doi: 10.1016/j.mri.2014.03.010 contributor: fullname: Li – ident: 10.1016/j.amc.2023.128050_bib0025 doi: 10.1016/j.dsp.2021.102989 – volume: 205 start-page: 108881 year: 2023 ident: 10.1016/j.amc.2023.128050_bib0030 article-title: Adaptive weighted curvature-based active contour for ultrasonic and 3t/5t MR image segmentation publication-title: Signal Processing doi: 10.1016/j.sigpro.2022.108881 contributor: fullname: Pang – volume: 71 start-page: 103207 year: 2022 ident: 10.1016/j.amc.2023.128050_sbref0017 article-title: Bias correction of intensity inhomogeneous images hybridized with superpixel segmentation publication-title: Biomedical Signal Processing and Control doi: 10.1016/j.bspc.2021.103207 contributor: fullname: Li – volume: 50 start-page: 271 year: 2002 ident: 10.1016/j.amc.2023.128050_bib0036 article-title: A multiphase level set framework for image segmentation using the mumford and shah model publication-title: International Journal of Computer Vision doi: 10.1023/A:1020874308076 contributor: fullname: Vese – volume: 22 start-page: 103 issue: 2 year: 2012 ident: 10.1016/j.amc.2023.128050_bib0011 article-title: A local modified chan-vese model for segmenting inhomogeneous multiphase images publication-title: International Journal of Imaging Systems and Technology doi: 10.1002/ima.22010 contributor: fullname: Gao – volume: 173 start-page: 107564 year: 2020 ident: 10.1016/j.amc.2023.128050_bib0045 article-title: A weighted bounded hessian variational model for image labeling and segmentation publication-title: Signal Processing doi: 10.1016/j.sigpro.2020.107564 contributor: fullname: Yang – volume: 45 start-page: 83-88 issue: 16 year: 2012 ident: 10.1016/j.amc.2023.128050_bib0043 article-title: An ADMM algorithm for a class of total variation regularized estimation problems publication-title: IFAC Proceedings Volumes doi: 10.3182/20120711-3-BE-2027.00310 contributor: fullname: Wahlberg – volume: 79 start-page: 52 year: 2020 ident: 10.1016/j.amc.2023.128050_bib0014 article-title: A retinex-based total variation approach for image segmentation and bias correction publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2019.11.005 contributor: fullname: Jin – volume: 7 start-page: 1 year: 2019 ident: 10.1016/j.amc.2023.128050_bib0034 article-title: Context dependent fuzzy associated statistical model for intensity inhomogeneity correction from magnetic resonance images publication-title: IEEE Journal of Translational Engineering in Health and Medicine doi: 10.1109/JTEHM.2019.2898870 contributor: fullname: Subudhi – volume: 20 start-page: 7 year: 2016 ident: 10.1016/j.amc.2023.128050_bib0016 article-title: A level set method for image segmentation in the presence of intensity inhomogeneities with application to MRI publication-title: IEEE Transactions on Image Processing contributor: fullname: Li – volume: 27 start-page: 3729 issue: 8 year: 2018 ident: 10.1016/j.amc.2023.128050_bib0002 article-title: Image segmentation for intensity inhomogeneity in presence of high noise publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2018.2825101 contributor: fullname: Ali – volume: 78 start-page: 11779 year: 2019 ident: 10.1016/j.amc.2023.128050_bib0046 article-title: A novel segmentation model for medical images with intensity inhomogeneity based on adaptive perturbation publication-title: Multimedia Tools and Applications doi: 10.1007/s11042-018-6735-5 contributor: fullname: Yu – volume: 13 year: 2018 ident: 10.1016/j.amc.2023.128050_sbref0031 article-title: Hybrid two-stage active contour method with region and edge information for intensity inhomogeneous image segmentation publication-title: PloS One doi: 10.1371/journal.pone.0191827 contributor: fullname: Soomro – volume: 21 start-page: 3004-3016 issue: 6 year: 2012 ident: 10.1016/j.amc.2023.128050_bib0004 article-title: An alternating direction algorithm for total variation reconstruction of distributed parameters publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2012.2188033 contributor: fullname: Brás – volume: 1 start-page: 321 year: 1998 ident: 10.1016/j.amc.2023.128050_bib0015 article-title: Snakes:active contour models publication-title: International Journal of Computer Vision doi: 10.1007/BF00133570 contributor: fullname: Kass – volume: 63 start-page: 356 year: 2021 ident: 10.1016/j.amc.2023.128050_bib0012 article-title: Effective two-stage image segmentation: a new non-lipschitz decomposition approach with convergent algorithm publication-title: Journal of Mathematical Imaging and Vision doi: 10.1007/s10851-020-01001-3 contributor: fullname: Guo – volume: 16 start-page: 1243 issue: 5 year: 2022 ident: 10.1016/j.amc.2023.128050_bib0040 article-title: Medical image segmentation using deep learning:a survey publication-title: IET Image Processing doi: 10.1049/ipr2.12419 contributor: fullname: Wang – volume: 57 start-page: 414 year: 2013 ident: 10.1016/j.amc.2023.128050_bib0049 article-title: Image segmentation using eulers elastica as the regularization publication-title: Journal of Scientific Computing doi: 10.1007/s10915-013-9710-3 contributor: fullname: Zhu – volume: 91 start-page: 69 year: 2019 ident: 10.1016/j.amc.2023.128050_bib0024 article-title: A multi-scale level set method based on local features for segmentation of images with intensity inhomogeneity publication-title: Pattern Recognition doi: 10.1016/j.patcog.2019.02.009 contributor: fullname: Min – volume: 3 start-page: 1 year: 2011 ident: 10.1016/j.amc.2023.128050_bib0003 article-title: Distributed optimization and statistical learning via the alternating direction method of multipliers publication-title: Foundations and Trends in Machine Learning doi: 10.1561/2200000016 contributor: fullname: Boyd – volume: 133 start-page: 27 issue: 1 year: 2017 ident: 10.1016/j.amc.2023.128050_bib0026 article-title: Radiogenomics of lower-grade glioma: algorithmically-assessed tumor shape is associated with tumor genomic subtypes and patient outcomes in a multi-institutional study with the cancer genome atlas data publication-title: Journal of Neuro-Oncology doi: 10.1007/s11060-017-2420-1 contributor: fullname: Mazurowski – start-page: 1 year: 2007 ident: 10.1016/j.amc.2023.128050_bib0018 article-title: Implicit active contours driven by local binary fitting energy publication-title: IEEE Conference on Computer Vision and Pattern Recognition contributor: fullname: Li – volume: 54 start-page: 697 year: 2018 ident: 10.1016/j.amc.2023.128050_bib0042 article-title: A retinex modulated piecewise constant variational model for image segmentation and bias correction publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2017.10.018 contributor: fullname: Wu – start-page: 308 year: 2017 ident: 10.1016/j.amc.2023.128050_bib0028 article-title: A novel acm for segmentation of medical image with intensity inhomogeneity publication-title: The 2nd IEEE International Conference on Computational Intelligence and Applications (ICCIA) contributor: fullname: Niu – volume: 13 start-page: 653 issue: 3 year: 2019 ident: 10.1016/j.amc.2023.128050_bib0047 article-title: A dual EM algorithm for TV regularized gaussian mixture model in image segmentation publication-title: Inverse Problems & Imaging doi: 10.3934/ipi.2019030 contributor: fullname: Yan – year: 2010 ident: 10.1016/j.amc.2023.128050_bib0009 article-title: Partial differential equations publication-title: American Mathematical Society contributor: fullname: Evans |
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| SubjectTerms | Additive bias field Alternating direction method Image segmentation Intensity inhomogeneity Multiplicative bias field |
| Title | Image Segmentation Based on the Hybrid Bias Field Correction |
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