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Qianting Ma and De-Xing Kong*, A new variational model for joint restoration and segmentation based on the Mumford-Shah model, Journal of Visual Communication and Image Representation, 2018.
Rendong Chen, Tian-An Jiang, Kaifeng Wang, Fang Lu, Dexing Kong*, Automatic Radiofrequency Ablation Planning Based on Constrained Clustering Process for Hepatic Tumors, IEEE Transactions on Biomedical Engineering 65 (2018), 645-657
Zixu Yan, Feng Chen, Dexing Kong*, Liver Venous Tree Separation via Twin-line RANSAC and Murray’s Law, accepted by IEEE Trans. Medical Imaging, 2017.
Jinlian Ma, Fa Wu, Tian-An Jiang, Qiyu Zhao, Dexing Kong*, Ultrasound image based thyroid nodule automatic segmentation using convolutional neural networks International Journal of Computer Assisted Radiology and Surgery, International Journal of Computer Assisted Radiology and Surgery, 2017. (DOI 10.1007/s11548-017-1649-7)
Qianting Ma, Fangfang Dong, Dexing Kong*, A fractional differential fidelity-based PDE model for image denoising, Machine Vision and Applications 28 (2017), 635-647. (doi:10.1007/s00138-017-0857-z, August 2017, Volume 28, Issue 5C6, pp 635-647)
Dexing Kong, Changhua Wei, Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime, accepted by J. Math. Phys., 2017.
Jinlian Ma, Fa Wu, Tian-An Jiang, Jiang Zhu, Dexing Kong*, Cascade convolutional neural networks for automatic detection of thyroid nodules in ultrasound images, Med. Phys. 44 (5), 1978-1691, May 2017.
Zixu Yan, Feng Chen, Fa Wu, Dexing Kong*, Inferior Vena Cava Segmentation With Parameter Propagation And Graph Cut, International Journal of Computer Assisted Radiology and Surgery (2017), DOI 10.1007/s11548-017-1582-9.
Jinlian Ma, Fa Wu, Jiang Zhu, Dong Xu, Dexing Kong*, A Pre-trained Convolutional Neural Network Based Method for Thyroid Nodule Diagnosis, Ultrasonics (2016), Ultrasonics 73 (2017), 221-230.
Peijun Hu, Fa Wu, Jialin Peng, Ping Liang, Dexing Kong*, Automatic 3D liver segmentation based on deep learning and globally optimized surface evolution, Phys. Med. Biol. 61 (2016), 8676-8698.
Peijun Hu, Fa Wu, Jialin Peng, Yuanyuan Bao, Feng Chen, Dexing Kong*, Automatic abdominal multi-organ segmentation using deep convolutional neural network and time-implicit level sets, Int J CARS (2016), DOI 10.1007/s11548-016-1501-5.
Fang Lu, Fa Wu, Peijun Hu, Zhiyi Peng, Dexing Kong*, Automatic 3D liver location and segmentation via convolutional neural network and graph cut, Int J CARS (2016), doi:10.1007/s11548-016-1467-3.
Jialin Peng, Peijun Hu, Fang Lu, Zhiyi Peng, Dexing Kong and Hongbo Zhang, 3D liver segmentation using multiple region appearances and graph cuts, Medical Physics 42, 6840 (2015).
Jialin Peng, Y. C. Hon and De-Xing Kong*, A Structural low rank regularization method for single image super-resolution, Machine Vision and Applications 26 (2015), 991-1005.
Zheng Xie, Jiang Zhu, De-Xing Kong* and Jianping Li, A random geometric graph built on a time-varying Riemannian manifold, Physica A 436 (2015), 492-498.
De-Xing Kong and Chen Zhao, Light-likeness of boundaries of extremal surfaces of mixed type in physical spaceCtimes, J. Math. Anal. Appl. 422 (2015), 1026-1033.
Qiong Lou, Jialin Peng and De-Xing Kong*, A variational formulation for physical noised image segmentation, Appl. Math. J. Chinese Univ. 30 (2015), 77-92.
Shou-Jun Huang, Hui-Hui Dai and De-Xing Kong, Global structure stability for the wave catching-up phenomena in a prestressed two-material bar, SIAM J. Appl. Math. 75 (2015), 585-604.
De-Xing Kong and Changhua Wei, Formation of singularities in one-dimensional Chaplygin gas, Journal of Hyperbolic Differential Equations 3, (2014), 521C561
Jialin Peng, Ye Wang and De-Xing Kong , Liver segmentation with constrained convex variational model, Pattern Recognition Letters 43 (2014), 81-88.
De-Xing Kong and Jinhua Wang, Einstein’s hyperbolic geometric flow, Journal of Hyperbolic Differential Equations 11 (2014), 249-267.
De-Xing Kong and Changhua Wei, The global existence and the life span of smooth solutions to a class of complex conservation laws, Nonlinear Analysis 95 (2014), 553-567.
De-Xing Kong and Changhua Wei, Formation and propagation of singularities in one-dimensional Chaplygin gas, Journal of Geometry and Physics 80 (2014), 58-70.
Jialin Peng, Fangfang Dong, Yunmei Chen and Dexing Kong*, A region-appearance-based adaptive variational model for 3D liver segmentation, Medical Physics 41,043502 (2014)
Zheng Xie, Enming Dong, Jianping Li, De-Xing Kong* and Ning Wu, Potential links by neighbor communities, Physica A 406 (2014), 244-252.
De-Xing Kong and Changhua Wei, Blowup of smooth solutions of a class of complex conservation laws, Journal of Mathematical Analysis and Applications 406 (2013), 464-474.
Kai-Feng Wang, Wei Pan, Fei Wang, Gao-Feng Wang, Pai Madhava, Hong- Ming Pan, De-Xing Kong* and Xiang-Guan Liu, Geometric Optimization of a Mathemat-ical Model of Radiofrequency Ablation in Hepatic Carcinoma, Asian Pacific Journal of Cancer Prevention 14 (2013), 6151-6158.
De-Xing Kong and Fa Wu, A New Type of Distributed Parameter Control Systems: Two-Point Boundary Value Problems for Infinite-Dimensional Dynamical Systems, Journal of Applied Mathematics, Article ID 454857 (http://dx.doi.org/10.1155/2013/454857), 2013.
De-Xing Kong and Xiao-Yan Li, Motion of Relativistic Strings on the Equatorial Plane in the Schwarzschild Space-Time, COMMUNICATIONS IN THEORETICAL PHYSICS 59 (2013), 80-86.
Shou-Jun Huang, Hui-Hui Dai, Zhen Chen and De-Xing Kong, Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 468 (2012), 3882-3901.
Dan Long, Jinwei Wang, De-Xing Kong* and Minming Zhang, Automatic classification of early Parkinson’s disease with multi-modal MR imaging, PLOS ONE 7(11) (2012), e47714.
De-Xing Kong and Yu-Zhu Wang, Long-time behaviour of smooth solutions to the compressible Euler equations with damping in several space variables, IMA Journal of Applied Mathematics 77 (2012), 473-494.
Jialin Peng, Jinwei Wang and De-Xing Kong*, A new convex variational model for liver segmentation, ICPR 2012 (IAPR Best Scientific Paper Award).
Jialin Peng, Fangfang Dong and De-Xing Kong*, Recent advances of variational model in medical imaging and applications to computer aided surgery, Appl. Math. J. Chinese Univ. 27 (2012), 379-411
Z. Dong, Y. Chen, De-Xing Kong and Z. Wang, Symmetry reduction and exact solutions of a hyperbolic Monge-Amp`ere equation, Chinese Annals of Mathematics Series 33B (2012), 309-316.
De-Xing Kong, Kefeng Liu and Yu-Zhu Wang, Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data, Communications in Partial Differential Equations 36 (2011), 162-184.
De-Xing Kong, Kefeng Liu and Ming Shen, Time-Periodic Solutions of the Einstein’s Field Equations III: Physical Singularities, Science in China 54 (2011), 23-33.
De-Xing Kong and Qing-You Sun, Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations, Journal of Physics: Conference Series 290 (2011), 012008.
De-Xing Kong, Kefeng Liu and Yu-Zhu Wang, Global existence of smooth solution-s to two-dimensional compressible isentropic Euler equations for Chaplygin gases, Science in China (Special Issue Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday) 53 (2010), 719-738.
Wen-Rong Dai, De-Xing Kong and Kefeng Liu, Hyperbolic geometric flow (I): short-time existence and nonlinear stability, Pure and Applied Mathematics Quarterly (Special Issue: In honor of Michael Atiyah and Isadore Singer) 6 (2010), 331-359.
De-Xing Kong and Kefeng Liu, Time-Periodic Solutions of the Einstein’s Field Equations I: General Framework, Science in China, 53 (2010), 1213-1230.
De-Xing Kong, Kefeng Liu and Ming Shen, Time-Periodic Solutions of the Einstein’s Field Equations II: Geometric Singularities, Science in China, 53 (2010), 1507-1520.
Chun-Lei He and De-Xing Kong*, Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime, Journal of Mathematical Physics 50 (2009), 083516.
De-Xing Kong and Qiang Zhang, Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space R1+n, Physica D 238 (2009), 902-922.
De-Xing Kong and Zeng-Gui Wang, Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow, Journal of Differential Equations 247 (2009), 1694-1719.
De-Xing Kong, Kefeng Liu and De-Liang Xu, The hyperbolic geometric flow on Riemann surfaces, Communications in Partial Differential Equations 34 (2009), 553-580.
Chun-Lei He, De-Xing Kong and Kefeng Liu, Hyperbolic mean curvature flow, Journal of Differential Equations 246 (2009), 373-390.
De-Xing Kong, Kefeng Liu and Zeng-Gui Wang, Hyperbolic mean curvature flow: Evolution of plane curves, Acta Mathematica Scientia (A special issue dedicated to Professor Wu Wenjun’s 90th birthday) 29 (2009), 493-514.
Wen-Rong Dai, De-Xing Kong and Kefeng Liu, Dissipative hyperbolic geometric flow, Asian Journal of Mathematics 12 (2008), 345-364.
De-Xing Kong, Extremal Sub-manifolds in Minkowski Space-time, in “Trends in Partial Differential Equations” ALM 10, Higher Education Press and International Press, Beijing-Boston, 2010, 213-240.
Chun-Lei He, Sen Hu, De-Xing Kong and Kefeng Liu, Generalized Ricci flow I: local existence and uniqueness, in Topology and Physics: Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin (Tianjin, China, 2007), World Scientific Publishing Company, 2008, 142-159.
De-Xing Kong, Qiang Zhang and Qing Zhou, The dynamics of relativistic strings moving in the Minkowski space R1+n, Communications in Mathematical Physics 269 (2007), 153-174.
De-Xing Kong and Kefeng Liu, Wave character of metrics and hyperbolic geometric flow, J. Math. Phys. 48(10), 103508 (2007), 1-14.
Wen-Rong Dai and De-Xing Kong , Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields, Journal of Differential Equations, 235 (2007), 127-165.
Shou-Jun Huang and De-Xing Kong*, Equations for the motion of relativistic torus in the Minkowski space R1+n , J. Math. Phys. 48(8), 083510 (2007), 1-15.
De-Xing Kong, Hyperbolic geometric flow, in the Proceedings of ICCM (Hangzhou, China, 2007), Vol. II, Higher Education Press, Beijing, 2007, 95-110.
De-Xing Kong, Qing-You Sun and Yi Zhou, The equation for time-like extremal surfaces in Minkowski space R1+(1+n), Journal of Mathematical Physics 47(1), 013503 (2006), 1-16.
Hui-Hui Dai and De-Xing Kong*, The propagation of impact-induced tensile waves in a kind of phase-transforming materials, Journal of Computational and Applied Mathematics 190 (2006), 57-73.
Hui-Hui Dai and De-Xing Kong*, Global Structure Stability of Impact-Induced Tensile Waves in a Rubber-like Material, IMA J. Appl. Math. 71 (2006), 14-33.
De-Xing Kong, Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves, Journal of Differential Equations 219 (2005), 421-450.
De-Xing Kong and Hui Yao, Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws II, SIAM Journal on Control and Optimization 44 (2005), 140-158.
Wen-Rong Dai and De-Xing Kong*, Analysis of Singularities and Development of Shocks for a class of multidimensional hyperbolic systems of conservation laws, Math. Meth. Appl. Sci., 28 (2005), 1585-1611.
Hui-Hui Dai and De-Xing Kong*, Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws, IMA J. Appl. Math. 69 (2004), 131-158.
De-Xing Kong and Tong Yang, Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems, Communications in Partial Differential Equations 28 (2003), 1203-1220.
De-Xing Kong, Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities, Journal of Differential Equations 188 (2003), 242-271.
De-Xing Kong and Tong Yang, A note on “Well-posedness for hyperbolic conservation laws”, Applied Mathematics Letters 16 (2003), 143-146.
De-Xing Kong, Global exact boundary controllability of a class of quasilinear hyper-bolic systems of conservation laws, Systems & Control Letters 47 (2002), 287-298.
De-Xing Kong, Formation and propagation of singularities for 2x2 quasilinear hyperbolic systems, Transactions of the American Mathematical Society 354 (2002), 3155-3179.
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