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计算机工程

• 图形图像处理 • 上一篇    下一篇

基于插值与剪切波融合的图像超分辨率重建

殷 明,水 珺,栾 静,白瑞峰   

  1. (合肥工业大学数学学院,合肥230009)
  • 收稿日期:2014-05-05 出版日期:2015-05-15 发布日期:2015-05-15
  • 作者简介:殷 明(1962 - ),男,教授、博士,主研方向:图形图像处理;水 珺、栾 静、白瑞峰,硕士研究生。
  • 基金资助:
    国家自然科学基金资助项目(11172086);安徽省自然科学基金资助项目(1308085MA09);安徽省教育厅自然科学研究基金资 助重点项目(KJ2013A216)。

Image Super-resolution Reconstruction Based on Interpolation and Shearlet Fusion

YIN Ming,SHUI Jun,LUAN Jing,BAI Ruifeng   

  1. (School of Mathematics,Hefei University of Technology,Hefei 230009,China)
  • Received:2014-05-05 Online:2015-05-15 Published:2015-05-15

摘要: 针对单幅图像超分辨率重建问题,提出一种基于软判决自适应(SAI)-双三次(Bicubic)插值与平移不变剪 切波融合的超分辨率重建算法。对源图像分别进行SAI 插值和Bicubic 插值,采用平移不变剪切波变换对2 幅插 值图像进行多尺度、多方向分解,得到低频及高频子带,对于低频子带,根据区域系数方差确定模糊相似度,结合改 进的S 函数确定自适应加权融合规则,对于高频子带,采用新改进拉普拉斯能量和与加权平均相结合的融合规则 进行处理,将得到的融合系数进行剪切波逆变换,从而得到高分辨率重建图像。实验结果表明,与原有的SAI 插值 算法相比,该算法能提升重建图像的清晰度及峰值信噪比。

关键词: 超分辨率重建, 软判决自适应插值, 图像融合, 平移不变性剪切波变换, S 函数, 改进拉普拉斯能量和

Abstract: For a single image Super-resolution(SR) reconstruction problem,a novel image SR algorithm based on Softdecision Adaptive Interpolation ( SAI)-Bicubic interpolation and Shift-invariant Shearlet Transform ( SIST ) fusion is proposed. For each source image is separately interpolated by SAI and Bicubic interpolation,and the SIST is adopted to decompose the two interpolated images in different scales and directions,and the low-frequency and high-frequency subband coefficients of the two images are obtained. For the low frequency sub-band coefficients,according to the regional variance to determine the fuzzy similarity,a adaptive weighted fusion rule combined with improved sigmoid function is presented. For the high frequency sub-band coefficients,it uses a new Sum-modified Laplacian(SML) and is combined with the weighted average fusion rule. The high resolution image is obtained by performing the inverse SIST on the combined coefficients. Compared with the SAI,the imposed algorithm has very good effect on improving the clarity of the reconstructed image and Peak Signal to Noise Ratio(PSNR).

Key words: Super-resolution ( SR) reconstruction, Soft-decision Adaptive Interpolation ( SAI), image fusion, Shiftinvariant Shearlet Transform(SIST), S function, Sum-modified Laplacian(SML)

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