Performance Analysis of Modified Nonsubsampled Contourlet Transform for Image Denoising

In this study, we develop modified Nonsubsampled Contourlet Transform (NSCT). The construction of NSCT is based on new nonsubsampled pyramid structure and Nonsubsampled Directional Filters (NSDF). The result is improved in flexible multiage, multidirectional and shift invariant image decomposition that can be effectively implemented through Matlab. The modified NSCT, it proposed to distinguish noise and edge effectively. So we assess the performance of the modified NSCT in image denoising applications. In this application the NSCT compares favorably to other existing method.

[1]  Minh N. Do,et al.  The Nonsubsampled Contourlet Transform: Theory, Design, and Applications , 2006, IEEE Transactions on Image Processing.

[2]  Minh N. Do,et al.  Ieee Transactions on Image Processing the Contourlet Transform: an Efficient Directional Multiresolution Image Representation , 2022 .

[3]  Stéphane Mallat,et al.  Sparse geometric image representations with bandelets , 2005, IEEE Transactions on Image Processing.

[4]  I. Selesnick,et al.  Bivariate shrinkage with local variance estimation , 2002, IEEE Signal Processing Letters.

[5]  Mark J. T. Smith,et al.  A filter bank for the directional decomposition of images: theory and design , 1992, IEEE Trans. Signal Process..

[6]  Wang Nian Image Enhancement Based on the Nonsubsampled Contourlet Transform and Adaptive Threshold , 2008 .

[7]  Wu Yi-quan A METHOD OF TARGET DETECTION IN INFRARED IMAGE SEQUENCE BASED ON CONTOURLET TRANSFORM , 2008 .

[8]  Martin Vetterli,et al.  Adaptive wavelet thresholding for image denoising and compression , 2000, IEEE Trans. Image Process..

[9]  D. Donoho,et al.  Translation-Invariant DeNoising , 1995 .

[10]  Mark J. Shensa,et al.  The discrete wavelet transform: wedding the a trous and Mallat algorithms , 1992, IEEE Trans. Signal Process..

[11]  Justin K. Romberg,et al.  Wavelet-domain approximation and compression of piecewise smooth images , 2006, IEEE Transactions on Image Processing.

[12]  D. Donoho Wedgelets: nearly minimax estimation of edges , 1999 .

[13]  Edward H. Adelson,et al.  Shiftable multiscale transforms , 1992, IEEE Trans. Inf. Theory.

[14]  E. Candès,et al.  New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities , 2004 .

[15]  Martin J. Wainwright,et al.  Image denoising using scale mixtures of Gaussians in the wavelet domain , 2003, IEEE Trans. Image Process..

[16]  Mark J. T. Smith,et al.  A low complexity overcomplete directional image pyramid , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[17]  Zhang Yu-kuan MECHANISM OF SIMULTANEOUS CONTRAST IN BIOLOGICAL VISION FOR HIGH-PASS FILTERING , 2008 .