Jun Liu

Associate Professor

Beijing Normal University
Beijing, 100875, P.R. China

Email: jliu@bnu.edu.cn

Office: New Main Building 1230
Fax: +86 10 58809447

Curriculum Vitae Helpful Links Teaching

Research Interests

Variational and PDE-based image processing
Numerical analysis
Image processing applications
Machine Learning & Deep Learning

Preprints

Zhuoxiao Li, and Jun Liu. Learnable Mixture Distribution Prior for Image Denoising. submitted.

Jun Liu, Xue-Cheng Tai, Shousheng Luo. Convex Shape Prior for Deep Convolution Neural Network based Eye Fundus Images Segmentation. revised. arXiv [Matlab code] [keras layer]

Selected Publications

Haifeng Li, Weihong Guo, Jun Liu, Li Cui, and Dongxing Xie. Image Segmentation with Adaptive Spatial Priors from Joint Registration. SIAM Journal on Imaging Sciences, (2022), to appear.

Zhuoxiao Li, Faqaing Wang, Li Cui, and Jun Liu.Dual Mixture Model based CNN for Image Denoising. IEEE Transactions on Image Processing, (2022) 31: 3618-3629.

Jun Liu, Xiangyue Wang, Xue-Cheng Tai. Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-shape Priori for Image Segmentation. Journal of Mathematical Imaging and Vision, (2022), to appear. arXiv [Matlab code] [pytorch demo]

Xiaojun Zheng, Zhongdan Huan and Jun Liu. On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration. Communications on Pure and Applied Analysis, (2022), to appear. AIMS

Junying Meng, Faqiang Wang, Li Cui, and Jun Liu. The Lower Bound of Nonlocal Gradient for Non-convex and Non-smooth Image Patches based Regularization. Inverse Problems, (2022) 38(3): 035010. IOPSCIENCE

Cuicui Zhao, Jun Liu, Jie Zhang. A Dual Model for Restoring Images Corrupted by Mixture of Additive and Multiplicative Noise. IEEE Access, (2021) 9: 168869-168888. IEEE [Supplementary Material] [Matlab code]

Fan Jia, Jun Liu, and Xue-Cheng Tai. A Regularized Convolutional Neural Network for Semantic Image Segmentation. Analysis and Applications, (2021) 19(1): 147-165. WorldScientific arXiv [Caffe code]

Wei Wan, Weihong Guo, Haiyang Huang, Jun Liu. Non-negative and Non-Local Sparse Tensor Factorization Based Hyperspectral Image Super-resulution. IEEE Transactions on Geoscience and Remote Sensing, (2020) 58(12): 8384-8394. IEEE

Wei Wan, Jun Liu. Nonlocal Patches based Gaussian Mixture Model for Image Inpainting. Applied Mathematical Modelling, (2020) 87: 317-331. ScienceDirect arXiv

Haifeng Li, Jun Liu, Li Cui, Haiyang Huang, Xue-Cheng Tai. Volume Preserving Image Segmentation with Entropic Regularization Optimal Transport and Its Applications in Deep Learning. Journal of Visual Communication and Image Representation, (2020) 71: 1-14.Elsevier arXiv [Matlab code]

Fan Jia, Xue-Cheng Tai, Jun Liu. Nonlocal Regularized CNN for Image Segmentation. Inverse Problems & imaging, (2020) 14(5): 891-911. AIMS

Shi Yan, Xue-Cheng Tai, Jun Liu, Hai-yang Huang. Convexity Shape Prior for Level Set based Image Segmentation Method. IEEE Transactions on Image Processing, (2020) 29: 7141-7152. IEEE arXiv

Faqiang Wang, Cuicui Zhao, Jun Liu, Haiyang Huang. A Variational Image Segmentation Model based on Normalized Cut with Adaptive Similarity and Spatial Regularization. SIAM Journal on Imaging Sciences, (2020) 13(2): 651-684. SIAM arXiv [Matlab code]

Faqiang Wang, Haiyang Huang, Jun Liu.Variational based Mixed Noise Removal with CNN Deep Learning Regularization. IEEE Transactions on Image Processing. (2020) 29(1): 1246-1258. IEEE arXiv [Matlab code]

Wei Wan, Weihong Guo, Jun Liu, Haiyang Huang. Non-local Blind Hyperspectral Image Super-resolution via 4D Sparse Tensor Factorization and Low-rank. Inverse Problems & Imaging. (2020) 14(2): 339-361. AIMS

Shi Yan, Jun Liu, Haiyang Huang, Xue-Cheng Tai. A Dual EM Algorithm for TV Regularized Gaussian Mixture Model in Image Segmentation. Inverse Problems & Imaging. (2019) 13(3): 653-677. AIMS

Jun Liu, Stanley Osher. Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising. Journal of Scientific Computing. (2019) 78(1): 607-624. Springer [Matlab code]

Wei Wan, Haiyang Huang, Jun Liu, Local Block Operators and TV Regularization based Image Inpainting. Inverse Problems and Imaging. (2018) 12(6): 1389-1410.AIMS

Shi Yan, Zihao Yu, Jun Liu, Non-parametric Mixture Model with TV Spatial Regularisation and Its Dual Expectation Maximisation Algorithm. IET Image Processing. (2018) 12(9): 1655-1662. IET.

Yuebin Wang, Liqiang Zhang, Hao Deng, Jiwen Lu,Haiyang Huang, Liang Zhang, Jun Liu, Hong Tang,Xiaoyue Xing. Learning a discriminative distance metric with label consistency for scene classification. IEEE Transactions on Geoscience & Remote Sensing. (2017) 99:1-14. IEEE.

Jun Liu, Xiaojun Zheng. A Block Nonlocal TV Method for Image Restoration. SIAM Journal on Imaging Sciences,(2017) 10(2):920-941. SIAM [Matlab code]

Jun Liu, Xue-Cheng Tai, Shingyu Leung, Haiyang Huang. A New Continuous Max-flow Algorithm for Multiphase Image Segmentation using Super-level Set Functions. Journal of Visual Communication and Image Representation. (2014) 25(6): 1472-1488. Elsevier [Matlab code]

Jun Liu Xue-Cheng Tai, Shingyu Leung.A Generic Convexication and Graph Cut Method for Multiphase Image Segmentation. Energy Minimization Methods in Computer Vision and Pattern Recognition Lecture Notes in Computer Science. (2013) 8081:251-265. Springer [Matlab code]

Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise. IEEE Transactions on Image Processing. (2013) 22(3): 1108-1120. IEEE [Matlab code]

Jun Liu, Shingyu Leung. A Splitting Algorithm for Image Segmentation on Manifolds Represented by Grid Based Particle Method. Journal of Scientific Computing, (2013) 56(2): 243-266. Springer

Jun Liu, Haili Zhang. Image Segmentation Using a Local GMM in a Variational Framework. Journal of Mathematical Imaging and Vision, (2013) 46(2): 161-176. Springer [Matlab code]

Jun Liu,Yin-Bon Ku, Shingyu Leung. Expectation-maximization Algorithm with Total Variation Regularization for Vector-valued Image Segmentation. Journal of Visual Communication and Image Representation, (2012) 23(8): 1234-1244. Elsevier [Matlab code]

Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. Simultaneous Denoising and Illumination Correction via Local Data-Fidelity and Nonlocal Regularization. Scale Space and Variational Methods in Computer Vision Lecture Notes in Computer Science,(2012) 6667:218-230. Springer [Matlab code]

Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. A Fast Segmentation Method Based on Constraint Optimization and Its Applications: Intensity Inhomogeneity and Texture Segmentation. Pattern Recognition . (2011) 44(9):2093-2108. Elsevier [Matlab code]

Jun Liu, Zhongdan Huan, Haiyang Huang. Image Restoration under Mixed Noise Using Globally Convex Segmentation. Journal of Visual Communication and Image Representation. (2011) 22 (3) : 263-270. Elsevier

Qinghua Liu, Huiliang Wang, Jun Liu, Haiyang Huang. AFM Image Processing for Estimating the Number and Volume of Nanoparticles on a Rough Surface. Surface and Interface Analysis. (2011) 43(10): 1354-1359. Wiley

Jun Liu, Haiyang Huang, Zhongdan Huan, Haili Zhang. Adaptive Variational Method for Restoring Color Images with High Density Impulse Noise. International Journal of Computer Vision. (2010) 90 (2): 131-149. Springer [Matlab code]

Jun Liu, Zhongdan Huan, Haiyang Huang, and Haili Zhang. An Adaptive Method for Recovering Image from Mixed Noisy Data. International Journal of Computer Vision. (2009) 85 (2): 182-191. Springer [Matlab code]

	Zhuoxiao Li, and Jun Liu. Learnable Mixture Distribution Prior for Image Denoising. submitted.
	Jun Liu, Xue-Cheng Tai, Shousheng Luo. Convex Shape Prior for Deep Convolution Neural Network based Eye Fundus Images Segmentation. revised. arXiv [Matlab code] [keras layer]

	Haifeng Li, Weihong Guo, Jun Liu, Li Cui, and Dongxing Xie. Image Segmentation with Adaptive Spatial Priors from Joint Registration. SIAM Journal on Imaging Sciences, (2022), to appear.
	Zhuoxiao Li, Faqaing Wang, Li Cui, and Jun Liu.Dual Mixture Model based CNN for Image Denoising. IEEE Transactions on Image Processing, (2022) 31: 3618-3629.
	Jun Liu, Xiangyue Wang, Xue-Cheng Tai. Deep Convolutional Neural Networks with Spatial Regularization, Volume and Star-shape Priori for Image Segmentation. Journal of Mathematical Imaging and Vision, (2022), to appear. arXiv [Matlab code] [pytorch demo]
	Xiaojun Zheng, Zhongdan Huan and Jun Liu. On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration. Communications on Pure and Applied Analysis, (2022), to appear. AIMS
	Junying Meng, Faqiang Wang, Li Cui, and Jun Liu. The Lower Bound of Nonlocal Gradient for Non-convex and Non-smooth Image Patches based Regularization. Inverse Problems, (2022) 38(3): 035010. IOPSCIENCE
	Cuicui Zhao, Jun Liu, Jie Zhang. A Dual Model for Restoring Images Corrupted by Mixture of Additive and Multiplicative Noise. IEEE Access, (2021) 9: 168869-168888. IEEE [Supplementary Material] [Matlab code]
	Fan Jia, Jun Liu, and Xue-Cheng Tai. A Regularized Convolutional Neural Network for Semantic Image Segmentation. Analysis and Applications, (2021) 19(1): 147-165. WorldScientific arXiv [Caffe code]
	Wei Wan, Weihong Guo, Haiyang Huang, Jun Liu. Non-negative and Non-Local Sparse Tensor Factorization Based Hyperspectral Image Super-resulution. IEEE Transactions on Geoscience and Remote Sensing, (2020) 58(12): 8384-8394. IEEE
	Wei Wan, Jun Liu. Nonlocal Patches based Gaussian Mixture Model for Image Inpainting. Applied Mathematical Modelling, (2020) 87: 317-331. ScienceDirect arXiv
	Haifeng Li, Jun Liu, Li Cui, Haiyang Huang, Xue-Cheng Tai. Volume Preserving Image Segmentation with Entropic Regularization Optimal Transport and Its Applications in Deep Learning. Journal of Visual Communication and Image Representation, (2020) 71: 1-14.Elsevier arXiv [Matlab code]
	Fan Jia, Xue-Cheng Tai, Jun Liu. Nonlocal Regularized CNN for Image Segmentation. Inverse Problems & imaging, (2020) 14(5): 891-911. AIMS
	Shi Yan, Xue-Cheng Tai, Jun Liu, Hai-yang Huang. Convexity Shape Prior for Level Set based Image Segmentation Method. IEEE Transactions on Image Processing, (2020) 29: 7141-7152. IEEE arXiv
	Faqiang Wang, Cuicui Zhao, Jun Liu, Haiyang Huang. A Variational Image Segmentation Model based on Normalized Cut with Adaptive Similarity and Spatial Regularization. SIAM Journal on Imaging Sciences, (2020) 13(2): 651-684. SIAM arXiv [Matlab code]
	Faqiang Wang, Haiyang Huang, Jun Liu.Variational based Mixed Noise Removal with CNN Deep Learning Regularization. IEEE Transactions on Image Processing. (2020) 29(1): 1246-1258. IEEE arXiv [Matlab code]
	Wei Wan, Weihong Guo, Jun Liu, Haiyang Huang. Non-local Blind Hyperspectral Image Super-resolution via 4D Sparse Tensor Factorization and Low-rank. Inverse Problems & Imaging. (2020) 14(2): 339-361. AIMS
	Shi Yan, Jun Liu, Haiyang Huang, Xue-Cheng Tai. A Dual EM Algorithm for TV Regularized Gaussian Mixture Model in Image Segmentation. Inverse Problems & Imaging. (2019) 13(3): 653-677. AIMS
	Jun Liu, Stanley Osher. Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising. Journal of Scientific Computing. (2019) 78(1): 607-624. Springer [Matlab code]
	Wei Wan, Haiyang Huang, Jun Liu, Local Block Operators and TV Regularization based Image Inpainting. Inverse Problems and Imaging. (2018) 12(6): 1389-1410.AIMS
	Shi Yan, Zihao Yu, Jun Liu, Non-parametric Mixture Model with TV Spatial Regularisation and Its Dual Expectation Maximisation Algorithm. IET Image Processing. (2018) 12(9): 1655-1662. IET.
	Yuebin Wang, Liqiang Zhang, Hao Deng, Jiwen Lu,Haiyang Huang, Liang Zhang, Jun Liu, Hong Tang,Xiaoyue Xing. Learning a discriminative distance metric with label consistency for scene classification. IEEE Transactions on Geoscience & Remote Sensing. (2017) 99:1-14. IEEE.
	Jun Liu, Xiaojun Zheng. A Block Nonlocal TV Method for Image Restoration. SIAM Journal on Imaging Sciences,(2017) 10(2):920-941. SIAM [Matlab code]
	Jun Liu, Xue-Cheng Tai, Shingyu Leung, Haiyang Huang. A New Continuous Max-flow Algorithm for Multiphase Image Segmentation using Super-level Set Functions. Journal of Visual Communication and Image Representation. (2014) 25(6): 1472-1488. Elsevier [Matlab code]
	Jun Liu Xue-Cheng Tai, Shingyu Leung.A Generic Convexication and Graph Cut Method for Multiphase Image Segmentation. Energy Minimization Methods in Computer Vision and Pattern Recognition Lecture Notes in Computer Science. (2013) 8081:251-265. Springer [Matlab code]
	Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise. IEEE Transactions on Image Processing. (2013) 22(3): 1108-1120. IEEE [Matlab code]
	Jun Liu, Shingyu Leung. A Splitting Algorithm for Image Segmentation on Manifolds Represented by Grid Based Particle Method. Journal of Scientific Computing, (2013) 56(2): 243-266. Springer
	Jun Liu, Haili Zhang. Image Segmentation Using a Local GMM in a Variational Framework. Journal of Mathematical Imaging and Vision, (2013) 46(2): 161-176. Springer [Matlab code]
	Jun Liu,Yin-Bon Ku, Shingyu Leung. Expectation-maximization Algorithm with Total Variation Regularization for Vector-valued Image Segmentation. Journal of Visual Communication and Image Representation, (2012) 23(8): 1234-1244. Elsevier [Matlab code]
	Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. Simultaneous Denoising and Illumination Correction via Local Data-Fidelity and Nonlocal Regularization. Scale Space and Variational Methods in Computer Vision Lecture Notes in Computer Science,(2012) 6667:218-230. Springer [Matlab code]
	Jun Liu, Xue-Cheng Tai, Haiyang Huang, Zhongdan Huan. A Fast Segmentation Method Based on Constraint Optimization and Its Applications: Intensity Inhomogeneity and Texture Segmentation. Pattern Recognition . (2011) 44(9):2093-2108. Elsevier [Matlab code]
	Jun Liu, Zhongdan Huan, Haiyang Huang. Image Restoration under Mixed Noise Using Globally Convex Segmentation. Journal of Visual Communication and Image Representation. (2011) 22 (3) : 263-270. Elsevier
	Qinghua Liu, Huiliang Wang, Jun Liu, Haiyang Huang. AFM Image Processing for Estimating the Number and Volume of Nanoparticles on a Rough Surface. Surface and Interface Analysis. (2011) 43(10): 1354-1359. Wiley
	Jun Liu, Haiyang Huang, Zhongdan Huan, Haili Zhang. Adaptive Variational Method for Restoring Color Images with High Density Impulse Noise. International Journal of Computer Vision. (2010) 90 (2): 131-149. Springer [Matlab code]
	Jun Liu, Zhongdan Huan, Haiyang Huang, and Haili Zhang. An Adaptive Method for Recovering Image from Mixed Noisy Data. International Journal of Computer Vision. (2009) 85 (2): 182-191. Springer [Matlab code]