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    1.INTRODUCTION

    Nowadays, satellite images are used in many applications such as geoscience

    studies, astronomy, and geographical information systems. One of the most

    important quality factors in images comes from its resolution. Interpolation in

    image processing is a well-known method to increase the resolution of a digital

    image. Interpolation has been widely used in many image-processing applications

    such as facial reconstruction, multiple-description coding, and resolution

    enhancement.

    Many interpolation techniques have been developed to increase the image

    resolution. There are three well-known interpolation techniques, namely, nearest

    neighbor interpolation, bilinear interpolation, and bicubic interpolation. Bicubic

    interpolation is more sophisticated than the other two techniques; however, it

    produces noticeably sharper images.

    Image-resolution enhancement in the wavelet domain is a relatively new

    research topic, and, recently, many new algorithms have been proposed. Complex

    wavelet trans-form (CWT) is one of the recent wavelet transforms used in image

    processing. A one-level CWT of an image produces two complex-valued low-

    frequency subband images and six complex-valued high-frequency subband

    images. The high frequency subband images are the result of direction-selective

    filters. They show peak magnitude responses in the presence of image features

    oriented at +75_, +45_, +15_, 15_, 45_, and75_.

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    We propose a new technique which generates sharper and detailed super

    resolved satellite images. The proposed technique uses dual-tree CWT (DT-CWT)

    to decompose a low-resolution image into different subband images. Then the six

    complex-valued high-frequency subband images are interpolated using bicubic

    interpolation. In parallel, the input image is also interpolated separately. Finally,

    the interpolated high-frequency subband images and interpolated input image are

    combined by using inverse DT-CWT (IDT-CWT) to achieve a high-resolution

    output image. The proposed technique has been compared with conventional and

    state-of-the-art image resolution enhancement techniques.

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    WA

    The integral wavelet

    The wavelet coefficients cjk

    Here, a = 2j is called the

    binary or dyadic position.

    `Wavelet compre

    Wavelet compressio compression (sometimes al

    implementations are JPEG

    the BBC's Dirac, and Ogg

    little space as possible in

    lossy.

    Using a wavelet tran

    for representing transients,

    components in two-dimensi

    sky. This means that the tra

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    ELET TRANSFORM

    ransform is the integral transform define

    are given by:

    binary dilation or dyadic dilation, and

    ssion

    n is a form of data compression well suo video compression and audio compre

    000, DjVu and ECW for still images, a

    arkin for video. The goal is to store i

    file. Wavelet compression can be eit

    sform, the wavelet compression method

    such as percussion sounds in audio, or

    onal images, for example an image of s

    sient elements of a data signal can be re

    d as:

    = k2j is the

    ited for imagesion). Notable

    d REDCODE,

    age data in as

    er lossless or

    s are adequate

    igh-frequency

    ars on a night

    resented by a

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    smaller amount of information than would be the case if some other transform,

    such as the more widespread discrete cosine transform, had been used.

    Wavelet compression is not good for all kinds of data: transient signal

    characteristics mean good wavelet compression, while smooth, periodic signals are

    better compressed by other methods, particularly traditional harmonic compression

    (frequency domain, as by Fourier transforms and related). Data statistically

    indistinguishable from random noise is not compressible by any means.

    METHOD

    First a wavelet transform is applied. This produces as many coefficients as

    there are pixels in the image (i.e.: there is no compression yet since it is only a

    transform). These coefficients can then be compressed more easily because the

    information is statistically concentrated in just a few coefficients. This principle is

    called transform coding. After that, the coefficients are quantized and the quantized

    values are entropy encoded and/or run length encoded.

    A few 1D and 2D applications of wavelet compression use a technique

    called "wavelet footprints".

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    An example of the 2D discrete wavelet transform that is used in JPEG2000.

    EXISTING TECHNOLOGIES

    The existing technologies for super resolved images include the following:

    1) Interpolation techniques, namely, nearest interpolation, bilinear interpolation,

    and bicubic interpolation;

    2) Wavelet zero padding (WZP);

    3) single-frame resolution enhancement by Irani and Peleg where four low

    resolution images generated by rotation and translation from the input low

    resolution image are used.

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    PROPOSED TECHNOLOGY

    Resolution is an important feature in satellite imaging, which makes the

    resolution enhancement of such images to be of vital importance. As it was

    mentioned before, there are many applications of using satellite images; hence,

    resolution enhancement of such images will increase the quality of the other

    applications.

    The main loss of an image after being super resolved by applying

    interpolation is on its high-frequency components (i.e., edges), which is due to the

    smoothing caused by interpolation. Hence, in order to increase the quality of the

    super resolved image, preserving the edges is essential.

    In this proposed technology DT-CWT has been employed in order to preserve the

    high-frequency components of the image. The DT-CWT has good directional

    selectivity and has the advantage over discreet wavelet transform (DWT). It also

    has limited redundancy. The DT-CWT is approximately shift invariant, unlike the

    critically sampled DWT. The redundancy and shift invariance of the DT-CWT

    mean that DT-CWT coefficients are inherently interpolable.

    In the proposed image resolution enhancement technique, DT-CWT is used

    to decompose an input image into different subband images. Six complex-valued

    high-frequency subband images contain the high-frequency components of the

    input image. In the proposed technique, the interpolation is applied to the high-

    frequency subband images. In the wavelet domain, the low-resolution image is

    obtained by lowpass filtering of the high-resolution image. In other words, low-

    frequency subband images are the low resolution of the original image.

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    Basically the steps involved are the following

    1. The dual-tree CWT (DT-CWT) decomposes a low-resolution image into

    different sub band images.

    2. The sub band images are interpolated using bi cubic interpolation.

    3. In parallel, the input image is also interpolated separately.

    4. Finally, the interpolated high-frequency sub band images and interpolated

    input image are combined by using inverse DT-CWT (IDT-CWT)

    Block diagram of the proposed resolution enhancement algorithm.

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    BLOCK DIAGRAM EXPLANATION

    DT-CWT is used to decompose an input image into different subband

    images. Six complex-valued high-frequency subband images contain the high-

    frequency components of the input image. In the proposed technique, the

    interpolation is applied to the high-frequency subband images. In the wavelet

    domain, the low-resolution image is obtained by lowpass filtering of the high-

    resolution image. In other words, low-frequency subband images are the low

    resolution of the original image.

    Therefore, instead of using low-frequency subband images, which contain

    less information than the original input image, we are using the input image for the

    interpolation of two low-frequency subband images. Hence, using the input image

    instead of the low-frequency subband images increases the quality of the super

    resolved image. The input image is interpolated with the half of the interpolation

    factor used to interpolate the high-frequency subbands. The two upscaled imagesare generated by interpolating the low-resolution original input image and the

    shifted version of the input image in horizontal and vertical directions. These two

    real-valued images are used as the real and imaginary components of the

    interpolated complex LL image for the IDT-CWT operation.

    By interpolating the input image by /2 and the high-frequency subband

    images by and then by applying IDT-CWT, the output image will contain sharper

    edges than the interpolated image obtained by interpolation of the input image

    directly.

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    This is due to the fact that the interpolation of the isolated high-frequency

    components in the high-frequency subband images will preserve more high-

    frequency components after the interpolation of the respective subbands separately

    than interpolating the input image directly.

    In summary, the proposed technique interpolates not only the input image

    but also the high-frequency subband images obtained through the DT-CWT

    process. The final high-resolution output image is generated by using the IDTCWT

    of the interpolated subband images and the input image. In the proposed technique,

    the employed interpolation method is the same for all subband and the input

    images. The visual and the peak signal-to-noise ratio (PSNR) results, in the next

    section, show that the proposed technique with bicubic interpolation outperforms

    the conventional bicubic interpolation, WZP and Irani and Peleg techniques.

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    DT-CWT TECHNIQUE

    A one-level CWT of an image produces two complex- valued low-frequency

    sub band images and six complex-valued high-frequency sub band images.

    The high frequency Sub band images are the result of direction-selective

    filters i.e. when input signal is passed through these filters they select specific

    directions according to the filter design.

    They show peak magnitude responses in the presence of image featuresoriented at +75 , +45, +15, 15, 45 and 75 .

    DT-CWT is used to decompose an input image into different sub band images.

    The resolution enhancement is achieved by using directional selectivity

    provided by the CWT where the high-frequency sub bands in six different

    directions contribute to the sharpness of the high-frequency details such as edges.

    The main loss of an image after being super resolved by applying

    interpolation is on its high-frequency components. This is due to the smoothing

    cause by interpolation. So preserving the edges is essential.

    DT-CWT has been employed in order to preserve the high-frequency

    components of the image. DT-CWT has good directional selectivity.

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    COMPARISON

    PSNR (dB) results for the proposed resolution enhancement with a

    factor of two, from 256 256 to 512 512, for the input images shown

    in fig. 2(a) compared with the conventional and state-of-the-art image

    resolution enhancement techniques

    ADVANTAGES

    The DT-CWT has good directional selectivity

    Advantage over discrete wavelet transforms (DWT).

    Limited redundancy.

    The DT-CWT is approximately shift invariant, unlike the critically sampled

    DWT.

    DT-CWT coefficients are inherently interpolable.

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    RESULTS

    Super resolved images using the proposed technique in (c) are much sharper

    than the original low-resolution images in (a) and the interpolated images in (b).

    In order to show the effectiveness of the proposed method over the

    conventional and state-of-the-art image resolution enhancement techniques, five

    satellite images with different features are used for comparison.

    In the published literature, basically two groups of approaches can be found.

    Approaches focusing on radiometric correctness use formulas in closed form for

    providing intensity values of high quality that are comparable to real SAR images

    While the level of detail of 3-D models to be used is limited.

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    SATELLITE IMAGES

    Example no:1

    a) Original low-resolution image b) Bi cubic interpolated image.

    c) Super resolved image using the proposed technique.

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    example no:2 a)

    b)

    c)

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    CONCLUSION

    A satellite image resolution enhancement technique based on the

    interpolation of the high-frequency subband images obtained by DT-CWT and the

    input image. The proposed technique uses DT-CWT to decompose an image into

    different subband images, and then the high-frequency subband images are

    interpolated. An original image is interpolated with half of the interpolation factor

    used for interpolation of the high-frequency subband images. Afterward, all these

    images are combined using IDT-CWT to generate a superresolved image. The

    proposed technique has been tested on several satellite images, where their PSNR

    and visual results show the superiority of the proposed technique over the

    conventional and state-of-the-art image resolution enhancement techniques. The

    main reason of the resolution enhancement can be attributed to the directional

    selectivity of the CWT, where the high frequency subbands in six different

    directions contribute to the sharpness of the high-frequency details such as edges..

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    REFERENCES

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    for facial reconstruction based on extraction of partition wrinkle line

    features and fractal interpolation, in Proc. 4th ICIG, Aug. 2224, 2007,

    pp. 933937.

    [2] Y. Rener, J. Wei, and C. Ken, Downsample-based multiple description

    coding and post-processing of decoding, in Proc. 27th CCC, Jul. 1618,

    2008, pp. 253256.

    [3] C. B. Atkins, C. A. Bouman, and J. P. Allebach, Optimal image

    scaling using pixel classification, in Proc. ICIP, Oct. 710, 2001, vol. 3,

    pp. 864867.

    [4] Y. Piao, I. Shin, and H. W. Park, Image resolution enhancement usinginter-subband correlation in wavelet domain, in Proc. ICIP, 2007, vol. 1,

    pp. I-445I-448.

    [5] W. K. Carey, D. B. Chuang, and S. S. Hemami, Regularity-preserving

    image interpolation,IEEE Trans. Image Process., vol. 8, no. 9, pp. 1295

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    [6] N. G. Kingsbury, Image processing with complex wavelets, Philos.

    Trans. R. Soc. London A, Math. Phys. Sci., vol. 357, no. 1760, pp. 2543

    2560, Sep. 1999.

    [7] T. H. Reeves and N. G. Kingsbury, Prediction of coefficients from coarse

    to fine scales in the complex wavelet transform, in Proc. IEEE ICASSP,

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    [8] M. Irani and S. Peleg, Improving resolution by image registration,

    CVGIP: Graph. Models Image Process., vol. 53, no. 3, pp. 231239,

    May 1991.

    [9] A. Temizel, Image resolution enhancement using wavelet domain hidden

    Markov tree and coefficient sign estimation, in Proc. ICIP, 2007, vol. 5,

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    Authorized