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Digital ridgelet reconstruction based on local dual frame 被引量:2

Digital ridgelet reconstruction based on local dual frame
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摘要 A global dual frame (GDF) representation for the digital ridgelet reconstruction algorithm is discussed and a novel concept of local dual frame (LDF) is presented. Based on the properties of LDF, we propose a new digital ridgelet reconstruction algorithm. The method reduces the redundancy in the digital ridgelet reconstruction while keeping the characteristics of low computation cost. When applying it to the image compression and denoising, good results are obtained. A global dual frame (GDF) representation for the digital ridgelet reconstruction algorithm is discussed and a novel concept of local dual frame (LDF) is presented. Based on the properties of LDF, we propose a new digital ridgelet reconstruction algorithm. The method reduces the redundancy in the digital ridgelet reconstruction while keeping the characteristics of low computation cost. When applying it to the image compression and denoising, good results are obtained.
出处 《Science in China(Series F)》 2005年第6期782-794,共13页 中国科学(F辑英文版)
关键词 ridgelet fast Slant Stack digital ridgelet global dual frame local dual frame ridgelet, fast Slant Stack, digital ridgelet, global dual frame, local dual frame
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参考文献10

  • 1[1]Donoho, D. L., Orthonormal ridgelets and linear singularities, SIAM J. Mathematical Analysis, 2000, 31(5): 1062-1099. 被引量:1
  • 2[2]Do, M. N., Vetter, M., The finite ridgelet transform for image representation, IEEE Trans. Image Processing, 2003, 12(1): 16-28. 被引量:1
  • 3[3]Averbuch, A., Coifman, R., Donoho, D. L. et al., Fast Slant Stack: A notion of Radon transform for data in a Cartesian Grid which is rapidly computible, algebraically exact, geometrically faithful and invertible, http://www-stat.stanford.edu/~donoho/Reports. 被引量:1
  • 4[4]Donoho, D. L., Flesia, A. G., Digital ridgelet transform based on true ridge functions, http://www.stat.Stanford.edu/donoho/Report. 被引量:1
  • 5[5]Mallat, S., A Wavelet Tour of Signal Processing (Translated by Yang Lihua et al.), Beijing: China Machine Press, 2003. 被引量:1
  • 6[6]Feng Xiangchu, Gan Xiaobing, Song Guoxiang, Numerical Functions and Wavelet Analysis, Xidian University Press, 1997. 被引量:1
  • 7[7]Beylkin, G., Discrete radon tansform, IEEE Tans. ASSP, 1987, 35(1): 162-172. 被引量:1
  • 8[8]Auscher, P., Weiss, G., Wickerhauser, M. V., Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets. Wavelets: A tutorial in Theory and Applications, Boston: Academic Press, 1992, 237-256. 被引量:1
  • 9[9]Grochenig, K., Acceleration of frame algorithm, IEEE Trans. Signal Processing, 1993, 41(12): 3331-3340. 被引量:1
  • 10[10]Starck, J. L., Candes, E. J., Donoho, D. L., The curvelet transform for image denoising, IEEE Trans. Image Processing, 2002, 11(6): 670-684. 被引量:1

同被引文献17

  • 1黄永东,程正兴.α带小波紧框架的显式构造方法[J].数学物理学报(A辑),2007,27(1):7-18. 被引量:15
  • 2Rudin L I,Osher S,Fatemi E.Nonlinear total variation based noise removal algorithms[J].Physica D,1992,60:259-268. 被引量:1
  • 3Meyer Y.Oscillating patterns in image processing and nonlinear evolution equations[R].Boston,USA:American Mathematical Society,2001. 被引量:1
  • 4Vese L A,Osher S J.Modeling textures with total variation minimization and oscillating patterns in image processing[J].Journal of Scientific Computing,2003,19(1/3):553-572. 被引量:1
  • 5Aujol J F,Chambolle A.Dual norms and image decomposition models[J].International Journal of Computer Vision,2005,63(1):85-104. 被引量:1
  • 6Levine S E.An adaptive variational model for image decomposition[OL].http://ddma.lanl.gov/public/speaker/2005-03-21713h30.shtml. 被引量:1
  • 7Lieu L,Vese L A.Image restoration and decomposition via bounded total variation and negative Hilber-Sobolev spaces[OL].http://www.math.ucla.edu/~llieu/ams-meeting1009-slides.pdf. 被引量:1
  • 8Chan T F,Esedoglu S,Frederick E P.Image decomposition combining staircase reduction and texture extraction[OL].http://www.math.ucla.edu/applied/cam/. 被引量:1
  • 9Daubechies I,Teschke G.Variational image restoration by means of wavelets:Simultaneous decomposition,deblurring,and denoising[J].Applied and Computational Harmonic Analysis,2005,19(1):1-16. 被引量:1
  • 10Candes E J,Donoho D L.Curvelets-A Surprising effective nonadaptive representation for objects with edges[A].Curve and Surface Fitting[C].Nashville:Vanderbilt University Press,1999. 被引量:1

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