An Improvement Algorithm for the Image Compression Imaging
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
Lines and textures are natural properties of the surface of natural objects, and their images can be sparselyrepresented in suitable frames such as wavelets, curvelets and wave atoms. Based on characteristics that thecurvelets framework is good at expressing the line feature and wavesat is good at representing texture features,we propose a model for the weighted sparsity constraints of the two frames. Furtherly, a multi-step iterativefast algorithm for solving the model is also proposed based on the split Bergman method. By introducingauxiliary variables and the Bergman distance, the original problem is transformed into an iterative solution oftwo simple sub-problems, which greatly reduces the computational complexity. Experiments using standardimages show that the split-based Bergman iterative algorithm in hybrid domain defeats the traditional Waveletsframework or curvelets framework both in terms of timeliness and recovery accuracy, which demonstrates thevalidity of the model and algorithm in this paper.
Abstract
Lines and textures are natural properties of the surface of natural objects, and their images can be sparselyrepresented in suitable frames such as wavelets, curvelets and wave atoms. Based on characteristics that thecurvelets framework is good at expressing the line feature and wavesat is good at representing texture features,we propose a model for the weighted sparsity constraints of the two frames. Furtherly, a multi-step iterativefast algorithm for solving the model is also proposed based on the split Bergman method. By introducingauxiliary variables and the Bergman distance, the original problem is transformed into an iterative solution oftwo simple sub-problems, which greatly reduces the computational complexity. Experiments using standardimages show that the split-based Bergman iterative algorithm in hybrid domain defeats the traditional Waveletsframework or curvelets framework both in terms of timeliness and recovery accuracy, which demonstrates thevalidity of the model and algorithm in this paper.
참고문헌 (15)
- D. L. Donoho, "Compressed sensing", IEEE Transactions on Information Theory, 52(4), pp.1289~1306 (2006)
- M. F. Duarte, "Single-pixel imaging via compressive sampling", IEEE Signal Processing Magazine, 25(2), pp.83~91 (2008)
- H. Rauhut, "Compressed sensing and redundant dictionaries", IEEE Transactions on Information Theory, 54(5), pp.2210~2219 (2008)
- Q. S. Lian, "Sparse image representation using the analytic contourlet transform and its application on compressed sensing", Acta Electronica Sinica, 38(6), pp.1293~1298 (2010)
- V. Kiani, "Iterative wedgelet transform : an efficient algorithm for computing wedgelet representation and approximation of images", Journal of Visual Communication and Image Representation, 34, pp.65~77 (2016)
- J. Liu, "Image denoising with multidirectional shrinkage in directionlet domain", Signal Processing, 125, pp.64~78 (2016)
- Y. Lu, "SAR speckle reduction using Laplace mixture model and spatial mutual information in the directionlet domain", Neurocomputing, 173, pp.633~644 (2016)
- C. Dossal, "Bandlet image estimation with model selection", Signal Processing, 91(12), pp.2743~2753 (2011)
- P. Amorim, "Electroencephalogram signal classification based on shearlet and contourlet transforms", Expert Systems with Applications, 67, pp.140~147 (2017)
- T. Goldstein, "The split Bregman method for L1-regularized problems", SIAM Journal on Imaging Sciences, 2(2), pp.323~343 (2009)
- L. Demanet, "Wave atoms and sparsity of oscillatory patterns", Applied and Computational Harmonic Analysis, 23(3), pp.368~387 (2017)
- S. Osher, "Fast linearized Bregman iteration for compressive sensing and sparse denoising", Communications in Mathematical Sciences, 8(1), pp.93~111 (2010)
- S. Osher, "An iterative regularization method for total variationbased image restoration", Multiscale Modeling & Simulation, 4(2), pp.460~489 (2005)
- J. Ma, "Improved iterative curvelet thresholding for compressed sensing and measurement", IEEE Transactions on Instrumentation and Measurement, 60(1), pp.126~136 (2010)
- E. Van Den Berg, "Probing the Pareto frontier for basis pursuit solutions", SIAM Journal on Scientific Computing, 31(2), pp.890~912 (2009)
