Image Compression using a New Adaptive
Standard Deviation Thresholding Estimation at
the Wavelet Details Subbands
N.S.A.M Taujuddin
Faculty of Electrical and Electronic
Engineering,
Universiti Tun Hussein Onn
Malaysia,
86400 Parit Raja, Batu Pahat, Johor,
Malaysia.
shahidah@uthm.edu.my
Rosziati Ibrahim
Faculty of Computer Science and
Information Technology,
Universiti Tun Hussein Onn
Malaysia,
86400 Parit Raja, Batu Pahat, Johor,
Malaysia.
rosziati@uthm.edu.my
Suhaila Sari
Faculty of Electrical and Electronic
Engineering,
Universiti Tun Hussein Onn
Malaysia,
86400 Parit Raja, Batu Pahat, Johor,
Malaysia.
suhailas@uthm.edu.my
Abstract—The process before quantization stage in
compression process is a very crucial stage espeacially in
application that require a high compression ratios. So, in this
paper, we propose a new method of image compression that is
based on reducing the wavelet coefficients in wavelet details
subbands. It is based on the concept of local subband wavelet
coefficients minimization to find the optimum threshold value
for wavelet coefficients in each detail subbands. The proposed
method decomposed the image into LL (low resolution
approximate image), HL (intensity variation along column,
horizontal edge), LH (intensity variation along row, vertical
edge) and HH (intensity variation along diagonal). The
coefficients in details subband retrived from the decomposition
process is then manipulated in such a way that the nearly zero
coefficient is discarded while the rest is remained. This process
will reduce the unsignificant wavelet coefficient that leads to a
great compression ratio while preserving the informative data
to produce a good image quality as can be seen in the
experiment done.
Keywords— Wavelet Coefficients, Details subbands,
Thresholding, Discrete Wavelet Transform (DWT)
I. INTRODUCTION
In recent years, digital image has rising popularity and
has been becoming increasingly important. With a huge
number of image application available online and mobile, it
require a huge storage space that also burden the network
capability [1]. Compressing an image is one of the promising
solution that can reduce the amount of redundant data[2].
Besides, it will decrease the storage space, transmission time,
bandwidth utilization and enable rapid browsing and
retrieval of images from database [3], [4].
II. WAVELET IN IMAGE COMPRESSION
Wavelet is one of the promising tools in image
compression. There are three main properties of wavelets;
(a) separability,scability and translability
(b) multiresolution compatibility
(c) orthogonallity
With these properties, wavelet works well in image
processing in such a way like the human vision do. It
provides a much more precise analysis in digital image,
movies and signal. It also has widely been used in data
compression, fingerprint encoding and also image
processing.
Wavelet is a ‘small’ wave that zeroing the value outside
the fixed interval time or space. It can be shifted or scaled to
decompose a signal into different scales of resolution.
Wavelet has special features in which it has flexible
window size to determine accurately either time or
frequency. It uses narrower window at high frequency for a
better resolution while using wider window at low frequency
for better frequency resolution. The behavior of wavelet has
some similarity with the human DNA behavior: duplicating
the essential unit, shift into different permutations providing
a varied range different properties.
Typically, wavelet uses two filters, namely analysis filter
and synthesis filter. The analysis filter is used to split the
original signal to several spectral components called
subband. The signal is first will passed a low pass filter for
approximation coefficients outputs that resulting a smooth
effect. Then, it will passed through the high pass filter for the
detail coefficients that enhance the details.
In the analysis filter, some points need to be eliminated.
This operation is called downsamping, usually illustrated as
↓2. The process is done to maximize the amount of
necessitate details and ignoring ‘not-so-wanted’ details.
Here, some coefficient value for pixel in image are discarded
or set to zero. This is called as the thresholding process and it
will give some smoothing effect to the image.
The process of downsampling the image using DWT is
illustrated as in Fig. 1.
109 ISBN: 978-1-4799-6210-5 ©2015 IEEE