计算机科学 ›› 2015, Vol. 42 ›› Issue (3): 271-273.doi: 10.11896/j.issn.1002-137X.2015.03.056

• 图形图像与模式识别 • 上一篇    下一篇

一种新的基于稀疏分解的图像放大方法

李秋菊,祝 轩,张旭峰,王 宁   

  1. 西北大学信息科学与技术学院 西安710127,西北大学信息科学与技术学院 西安710127,西北大学信息科学与技术学院 西安710127,西北大学信息科学与技术学院 西安710127
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受陕西省自然科学基金项目(2014JM8341,2010JM8026)资助

Novel Image Zooming Method Based on Sparse Decomposition

LI Qiu-ju, ZHU Xuan, ZHANG Xu-feng and WANG Ning   

  • Online:2018-11-14 Published:2018-11-14

摘要: 提出了一对新的冗余离散小波变换(RDWT)和波原子变换(WAT)字典,并将其应用于图像稀疏形态成分分解以获得图像的卡通与纹理成分。并针对卡通和纹理所具有的不同形态学特征,对卡通成分采用具有曲率运动、边缘冲击特性和平滑去噪性能的非线性self-snake模型来放大;对纹理成分采用双三次插值方法来放大,最后通过叠加就可获得放大图像。实验结果表明,这种基于新字典对的稀疏形态成分分解的图像放大方法相比于传统的基于整幅图像的放大方法能够有效地保护小曲率和大梯度,强化图像边缘,保证纹理细节清晰完整。

关键词: 图像放大,稀疏表示,RDWT,WAT,self-snake模型

Abstract: Two new dictionaries,RDWT and WAT,were proposed in this paper,and we used them to sparsely decompose one image into cartoon component and texture component.Based on the fact that the cartoon and texture in one ima-ge have different morphological characteristics,we zoomed the cartoon by self-snake model with the characteristics of curvature motion,edge shock and smooth denoising,and zoomed the texture by bicubic interpolation.Through superpo-sing the zoomed cartoon and texture,the zoomed image will be obtained.The experiment results show,compared with the traditional zooming methods processing the whole image,the new zooming model based on morphological component decomposition has good performance for enhancing edge,protecting small curvature and large gradient,and ensuring the texture clear and completion.

Key words: Image zooming,Sparse representation,RDWT,WAT,Self-snake model

[1] 程光权,成礼智.基于小波的方向自适应图像插值[J].电子与信息学报,2009,2:265-269
[2] 祝轩,张申华,王蕾,等.基于self-snake模型的图像放大[J].西北大学学报:自然科学版,2010,0(1):73-75
[3] Starck J L,Elad M,Donoho D L.Redundant multiscale transforms and their application for morphological component separation[J].Advances in Imaging and Electron Physics,2004,132(35):287-348
[4] Meyer Y.Oscillating patterns in image processing and nonlinear evolution equations [M].Boston:American Mathematical Society,2002
[5] Chan T F,Shen J H.Mathematical models for local non-texture inpainting[J].SIAM J.Appl.Math,2001,62(6):1019-1043
[6] Zhu Xuan,Wang Ning,En-biao,et al.Image decomposition modelcombined with sparse representation and total variation[C]∥Proceeding of the IEEE International Conference on Information and Automation.Yinchuan,China,2013:86-91
[7] 李德强,吴永国,罗海波.基于冗余离散小波变换的信号配准及分类[J].自动化学报,2011,37(1):61-66
[8] 刘国军,冯象初,张选德.波原子纹理图像阈值算法[J].电子与信息学报,2009,(8):1791-1795
[9] Mallat S G,Jaggi S,Karl W,et al.High resolution pursuit forfeature extraction[J].Applied and Computational Harmonic Analysis,1998,5(7):428-449
[10] Osher S,Burger M,Goldfarb D,et al.An iterated regularization method for total variation-based image restoration[J].SIAM Journal on Multiscale Modeling and Simulation,2005,4(5):460-489
[11] Daubechies I,Defrise M,Mol C D.An iterative thresholding algorithm for linear inverse problems with a sparsity constraint[J].Commun.Pure Appl.Math.,2004,57(11):1413-1457
[12] Stack J L,Elad M,Donoho D L.Image decomposition via thecombination of Sparse representation and a variational approach[J].IEEE Transaction on Image Proeessing,2005,4(10):1570-158

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