Abstract
Satellite images are often corrupted by noise in the acquisition and transmission process. While removing noise from the image by attenuating the high frequency image components, it removes some important details as well. In order to improve the visual appearance and retain the useful information of the images, an effective denoising technique is required to reduce the noise level. For denoising, many researches exploit the directional correlation in either spatial or frequency domain. However, the orientation estimation for directional correlation becomes inefficient and error prone in noised circumstances. This paper proposes a new hybrid directional lifting (HDL) technique for image denoising that involves pixel classification and orientation estimation, along with adding small amount of noise, in order to improve the performance efficiency of the technique. Experimental results show that the HDL technique improves both peak signal to noise ratio and visual quality of images with rich textures.
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Abbreviations
- I(i, j):
-
Input image
- V var(i, j):
-
Variance of the local window centered by the pixel
- V n :
-
Variance of the noisy image
- T :
-
Threshold value
- flag(i, j) = 0:
-
Label for smooth region
- flag(i, j) = 1:
-
Label for texture region
- D x , D y :
-
Gradient factors
- row, col:
-
Size of an image
- D xnew, D ynew :
-
New convolution matrices
- dir(i, j):
-
Directional information of each pixel
- tan−1 :
-
Inverse of the tangent function
- dirnew(i, j):
-
Modified direction of each pixel
- p(x/ROI):
-
Conditional probability distribution function of ROI
- p(x/RONI):
-
Conditional probability distribution function of RONI
- dirmin(i, j):
-
Minimum direction estimation of each pixel
- H(i, j):
-
Hybrid transform
- R(i, j):
-
Small random value matrix
- D(i, j):
-
Denoised image
References
Zhang B., Fadili J.M., Starck J.L.: Wavelets, ridgelets, and curvelets for poisson noise removal. In: IEEE Trans. Image Process. 17(7), 1093–1108 (2008)
Saevarsson B., Sveinsson J., Benediktsson J.: Speckle reduction of sar images using adaptive curvelet domain. Int. Geosci. Remote Sens. 6, 4083–4085 (2003)
Nguyen T.T., Oraintara S.: Multiresolution direction filterbanks: theory, design, and applications. In: IEEE Trans. Signal Process. 53(10), 3895–3905 (2005)
Eslami R., Radha H.: A new family of nonredundant transforms using hybrid wavelets and directional filter banks. In: IEEE Trans. Image Process. 16(4), 1152–1167 (2007)
Selesnick I.W., Baraniuk R.G., Kingsbury N.G.: The dual-tree complex wavelet transform. In: IEEE Signal Process. Mag. 1, 123–151 (2005)
Lin, P., Kim, Y.T.: Method and apparatus for noise reduction using discrete wavelet transform. United States Patent Application Publication, (2004)
Gonzalez R.C., Woods R.E.: Digital Image Processing. 2nd edn. Publishing House of Electronics Industry, Beijing (2002)
Zhang N., Lu Y., Wu F., Yin F.: Directional lifting-based wavelet transform for multiple description image coding with quincunx segmentation. In: Advances in Multimedia Information Processing—PCM2005 (LNCS, 3768), pp. 629–640 (2005)
Zhang X., Wu X., Wu F.: Image coding on quincunx lattice with adaptive lifting and interpolation. In: Data Compression Conference, pp. 193–202 (2007)
Liu Y., Ngan K.N.: Weighted adaptive lifting-based wavelet transform. In: IEEE Trans. Image Process. 17(4), 500–511 (2008)
Dong W., Shi G., Xu J.: Adaptive nonseparable interpolation for image compression with directional wavelet transform. In: IEEE Signal Process. Lett. 15, 233–236 (2008)
Zhang C.N., Wu X.: A hybrid approach of wavelet packet and directional decomposition for image compression. Proc. IEEE Can. Conf. Electr. Comput. Eng. 2, 755–760 (1999)
Ding W., Wu F., Wu X., Li S., Li H.: Adaptive directional lifting-based wavelet transform for image coding. In: IEEE Trans. Image Process. 16(2), 416–427 (2007)
Wnag X.T., Shi G.M., Niu Y., Zhang L.: Robust adaptive directional lifting wavelet transform for image denoising. IET Image process. 5(3), 249–260 (2011)
Wenpeng D., Feng W.: Adaptive directional lifting based wavelet transform for image coding. In: IEEE Trans. Image Process. 16(2), 416–684 (2007)
Chang C.L., Girod B.: Direction-adaptive discrete wavelet transform for image compression. In: IEEE Trans. Image Process. 16(5), 1289–1302 (2007)
Xu H., Xu J., Wu F.: Lifting-based directional dct-like transform for image coding. In: IEEE Trans. Circuits Syst. Video Technol. 17(10), 1325–1335 (2007)
Jha R.K., Biswas P.K., Chatterji B.N.: Image segmentation using suprathreshold stochastic resonance. World Acad. Sci. Eng. Technol. 72, 695–709 (2010)
Bruce, J., Balch, T., Veloso, M.: Fast and inexpensive color image segmentation for interactive Robots. In: Proceedings of the IEEE/RSJ International Conference Intelligent Robots and Systems, (2000)
Lie W.N.: Automatic target segmentation by locally adaptive image thresholding. In: IEEE Trans. Image Process. 4(7), 1036–1041 (1995)
Duda R.O., Hart P.E., Stork D.G.: Pattern Classification. Wiley, New York (2001)
Phung S.L., Bouzerdoum A., Chai D.: Skin segmentation using color pixel classification: analysis and comparison. In: IEEE Trans. Pattern Anal. Mach. Intell. 27(1), 148–154 (2005)
Saba T., Rehman A., Sulong G.: An intelligent approach to image denoising. J. Theor. Appl. Inf. Tech. 17(1), 32–36 (2010)
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Sree Sharmila, T., Ramar, K. Efficient analysis of hybrid directional lifting technique for satellite image denoising. SIViP 8, 1399–1404 (2014). https://doi.org/10.1007/s11760-012-0369-2
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DOI: https://doi.org/10.1007/s11760-012-0369-2