COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Yufeng Cao


  • M.Sc (Applied Mathematics), University of Texas-Pan American Augest 2013
  • M.Sc (Applied Mathematics), Inner Mongolia University of Technology July 2010
  • B.Sc (Applied Mathematics), Shanxi Normal University July 2007


  • Inverse Problem
  • PDE and Imaging
  • Analysis plus Data


  • 09/2014— Research with Prof. Kevin Vixie on Imaging, PDEs and Analysis plus Data, Washington State University, WA, USA
  • 09/2011—05/2014 Research with Prof. Zhijun Qiao on Imaging and PDEs. The University of Texas-Pan American, Texas, USA
  • 09/2008—07/2010 Research with Prof. Zhong Wang on Operator and Spectral. Zhaoqing University, Guangdong, CHINA

Courses Taking

Nonlinear analysis; Mathematical modeling; Network optimization.

Current Reading

  • Mathematical Problem in Image Processing, Gilles Aubert, Pierre Kornprobst.
  • Geometric Partial Differential Equations and Image Analysis, Guillermo Sapiro.
  • Image Processing and analysis, Tony F. Chan, Jianhong Shen.


  1. Yufeng Cao, Bing Sun, Jie Chen, Chunsheng Li and Zhijun Qiao. Compressive sensing imaging for general synthetic aperture radar echo model based on Maxwell’s equations, EURASIP Journal on Advances in Signal Processing 2014, 2014:153.
  2. Yufeng Cao, S Li, J Lopez, A Martinez and Zhijun Qiao.’’ A mathematical observation on synthetic aperture radar’’, Proc. SPIE 8714, Radar Sensor Technology XVIL,8714J (5/31/2013).
  3. Yufeng Cao, S Li, J Lopez, H Zhao and Zhijun Qiao. ‘’ Noise synthetic aperture radar imagery compressing and reconstruction based on compressed sensing’’, Proc. SPIE 8750, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XI, 87500N(May 29, 2013).
  4. Yufeng Cao, Luo lin, Xia baoqiang. Peakon solutions to supersymmetric Camassa-Holm equation and Degasperis-Procesi equation. Commun. Theor. Phys. 59, 73-79(2013).
  5. Yufeng Cao, Alex Martinez, Juan F. Lopez and Zhijun Qiao. A mathematical model for MIMO imaging, Proc. of SPIE Vol. 8393 839308-1(2012).
  6. Yufeng Cao, Timothy Ray, Genshe Chen and Zhijun Qiao. 2D and 3D ISAR image reconstruction through filtered back projection, Proc. of SPIE VOL. 8361 836107-1(2012).
  7. Yufeng Cao, Neo Pena, Guillermo Garza and Zhijun Qiao. Edge detection of real synthetic aperture radar images through filtered back projection. IEEE 978-1-4673-0199-2\12, 1915(2012).
  8. Yufeng Cao, Zhong Wang. Discontinuous at k points of sturm-Liouville problems with eigenparameter-dependent boundary conditions, Journal of Inner Mongolia University, 41(6)(2010).
  9. Yufeng Cao. Discontinuous sturm-Liouville problems with eigenparameter-dependent boundary conditions, Journal of Zhaoqing University, 2009, 30(5):10-13.
  10. Member of the
    Center for Geometric Analysis and Data