Compressive sensing reconstruction based on weighted directional total variation

被引:2
作者
Min L. [1 ]
Feng C. [2 ]
机构
[1] School of Science, Nanjing University of Posts and Telecommunications, Nanjing
[2] Department of Beidou, North Information Control Research Academy Group Co., Ltd., Nanjing
关键词
compressive sensing; majorization-minimization algorithm; weighted directional total variation;
D O I
10.1007/s12204-017-1809-5
中图分类号
学科分类号
摘要
Directionality of image plays a very important role in human visual system and it is important prior information of image. In this paper we propose a weighted directional total variation model to reconstruct image from its finite number of noisy compressive samples. A novel self-adaption, texture preservation method is designed to select the weight. Inspired by majorization-minimization scheme, we develop an efficient algorithm to seek the optimal solution of the proposed model by minimizing a sequence of quadratic surrogate penalties. The numerical examples are performed to compare its performance with four state-of-the-art algorithms. Experimental results clearly show that our method has better reconstruction accuracy on texture images than the existing scheme. © 2017, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:114 / 120
页数:6
相关论文
共 16 条
  • [1] Candes E.J., Romberg J., Tao T., Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information [J], IEEE Transactions on Information Theory, 52, 2, pp. 489-509, (2006)
  • [2] Donoho D.L., Compressed sensing [J], IEEE Transactions on Information Theory, 52, 4, pp. 1289-1306, (2006)
  • [3] Candes E.J., Wakin M.B., An introduction to compressive sampling [J], IEEE Signal Processing Magazine, 25, 2, pp. 21-30, (2008)
  • [4] Englh W., Hanke M., Neubauer A., Regularization of inverse problems [M], (1996)
  • [5] Candese J., Romberg J.K., Signal recovery from random projections [C]//, Proceedings of SPIE-IS & T Electronic Imaging, pp. 76-86, (2005)
  • [6] Ma S., Yin W., Zhang Y., Et al., An efficient algorithm for compressed MR imaging using total variation and wavelets [C]//, IEEE Conference on Computer Vision and Pattern Recognition, pp. 1-8, (2008)
  • [7] Rudin L.I., Osher S., Fatemi E., Nonlinear total variation based noise removal algorithms [J], Physica D: Nonlinear Phenomena, 60, 1, pp. 259-268, (1992)
  • [8] Bayram I., Kamasak M.E., Directional total variation [J], IEEE Signal Processing Letters, 19, 12, pp. 781-784, (2012)
  • [9] Zhang J., Lai R., Jaykuo C.C., Adaptive directional total-variation model for latent fingerprint segmentation [J], IEEE Transactions on Information Forensics and Security, 8, 8, pp. 1261-1273, (2013)
  • [10] Weickert J., Coherence-enhancing diffusion filtering [J], International Journal of Computer Vision, 31, 2-3, pp. 111-127, (1999)