satellite image resolution enhancement
TRANSCRIPT
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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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