# Iterative Directional Total Variation Refinement for Compressive Sensing Image Reconstruction

@article{Fei2013IterativeDT, title={Iterative Directional Total Variation Refinement for Compressive Sensing Image Reconstruction}, author={Xuan Fei and Z. Wei and L. Xiao}, journal={IEEE Signal Processing Letters}, year={2013}, volume={20}, pages={1070-1073} }

We propose a novel compressive sensing (CS) image reconstruction method based on iterative directional total variation (TV) refinement. As is generally known, classical TV-based CS reconstruction methods tend to produce over-smoothed image edges and texture details, since they favor piece-wise constant solutions. Hence, directional TV is introduced to describe the sparsity of the image gradient in order to overcome this drawback. However, it is difficult to estimate orientation field robustly… CONTINUE READING

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#### References

SHOWING 1-10 OF 10 REFERENCES

Color TV: total variation methods for restoration of vector-valued images

- Computer Science, Medicine
- IEEE Trans. Image Process.
- 1998

615- PDF

Low-dose CT reconstruction via edge-preserving total variation regularization.

- Mathematics, Medicine
- Physics in medicine and biology
- 2011

239 Highly Influential- PDF

Fast compressive imaging using scrambled block Hadamard ensemble

- Mathematics, Computer Science
- 2008 16th European Signal Processing Conference
- 2008

192- PDF

Image quality assessment: from error visibility to structural similarity

- Computer Science, Mathematics
- IEEE Transactions on Image Processing
- 2004

25,489- PDF

Perceptual image quality assessment based on structural similarity and visual masking

- Mathematics, Computer Science
- Signal Process. Image Commun.
- 2012

28

Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?

- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2006

6,154- PDF

Latent fingerprint detection and segmentation with a directional total variation model

- Computer Science
- 2012 19th IEEE International Conference on Image Processing
- 2012

21- PDF

The Natural Vectorial Total Variation Which Arises from Geometric Measure Theory

- Computer Science, Mathematics
- SIAM J. Imaging Sci.
- 2012

107- PDF