Logarithmic Discrete Wavelet Transform for High-Quality Medical Image Compression
Performance Analysis of Medical Image Compression
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Transcript of Performance Analysis of Medical Image Compression
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Performance Analysis of Medical Image Compression
K.Vidhya
Research Scholar
Electronics & Communication Engineering
College of Engineering, Anna University
Guindy, Chennai, Tamilnadu
e-mail: [email protected]
Dr.S.Shenbagadevi
Assistant Professor
Electronics & Communication Engineering
College of Engineering, Anna University
Guindy, Chennai, Tamilnadu
e-mail: [email protected]
Abstract — The paper deals with evaluation of medical images
by objective quality measures. Two main approaches to assess
image quality are objective testing and subjective testing.
Objective measures correlate well with the perceived image
quality for the proposed compression algorithm. This paper
presents an effective algorithm to compress and to reconstructDICOM (Digital Imaging and COmmunications in Medicine)
images. DICOM is a standard for handling, storing, printing
and transmitting information in medical imaging. These
medical images are volumetric consisting of a series of
sequences of slices through a given part of the body. DICOM
series of images are decomposed using Cohen-Daubechies-
Feauveau (CDF) biorthoganal wavelet. The wavelet coefficients
are encoded using Set Partitioning In Hierarchical Trees
(SPIHT). Consistent quality images are generated by this
method at a lower bit rate compared to JPEG and Fractal
compression algorithms. The image quality is evaluated by
various objective quality measures.
Keywords- Medical imaging, Set Partitioning In Hierarchical
Trees (SPIHT), Cohen-Daubechies-Feauveau biorthoganal wavelet (CDF), Digital Imaging and COmmunications in
Medicine (DICOM), DICOM previewer, Objective Quality
Measures.
I. I NTRODUCTION
This paper will propose an approach to improve the
performance of medical image compression. JPEG and
Wavelet compression methods are most popular methods
preferred by the medical community.The well-known JPEG
compression standard described in [1].In this lossy method,
the image is divided into sub-images. Discrete Cosine
Transform (DCT) is performed on the sub-images, and the
resulting coefficients are quantized and coded.Wavelet compression has been developed by many
authors [2, 3]. In [4] a network algorithm to compress and to
reconstruct DICOM images is presented. Said and A.
Pearlman developed a SPIHT coding algorithm [5], a
refined version of embedded zero tree wavelet coder (EZW)
coder [6]. In Fractal Image Compression technique [7, 8]
possible self-similarity within the image is identified and
used to reduce the amount of data required to reproduce the
image. But these methods have been time consuming.
Images can be compressed using lossy or lossless
compression techniques. Lossless compression involves
with compressing data which, when decompressed, will be
an exact replica of the original data without any loss.
Typical compression rates for lossless techniques are around
2:1 to 4:1. Lossy techniques do not allow for exact recovery
of the original image once it has been compressed. But these
techniques allow for compression rates that can exceed
100:1 depending on the compress quality level and the
image content, sacrificing some of the finer details in the
image for the sake of saving a little more bandwidth and
storage space.
Current DICOM standard is based on JPEG image
compression. In this paper wavelet coding has been proved
to be a very effective technique for DICOM images giving
significantly better results than the JPEG algorithm. A set of
DICOM files containing full series of transverse MR images
are used for experiments. The Discrete Wavelet Transform
of the image is calculated with CDF biorthoganal filter. Thewavelet coefficients are encoded using SPIHT. This method
yields better compression than other standard methods. The
experimental results are compared with standard JPEG
algorithm and fractal compression. A major design goal of
any compression method is to obtain the visual quality with
lowest bit rate. However, the quality and the bit rate are the
trade-offs that must be considered simultaneously.
Some of the objective picture quality measures [9] apart
from the common measures Mean Squared Error (MSE) and
Peak Signal to Noise Ratio (PSNR) are Normalized Cross-
Correlation (NK), Average Difference (AD) and Structural
Content (SC).
The rest of the paper is organized as follows. Section II presents an overview of medical image compression.
Section III discusses the DICOM images used for
compression. Section IV gives an overview of wavelets.
Section V explains the SPIHT coder. Section VI presents
the proposed coding method for a set of DICOM files
containing full series transverse MR images. Section VI
shows experimental results of the proposed work compared
with JPEG algorithm and fractal compression algorithm.
Section VIII gives some concluding remarks.
2009 International Conference on Signal Processing Systems
978-0-7695-3654-5/09 $25.00 © 2009 IEEE
DOI 10.1109/ICSPS.2009.183
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II. MEDICAL IMAGE COMPRESSION
The compression of medical images has a great demand.
The image for compression can be a single image or
sequence of images. The medical community has been very
reluctant to adopt lossy algorithms in clinical practice.
However, the diagnostic data produced by hospitals has
geometrically increased and a compression technique isneeded that results with greater data reductions and hence
transmission speed. In these cases, a lossy compression
method that preserves the diagnostic information is needed.
In medical image sequences called Volumetric Medical
Image (VMI) or 3-D medical data needs efficient image
compression solving storage and transmission problems and
also preserving diagnostic information. Visually
indistinguishable resultant images at high quality can be
obtained using lossy compression techniques, for
compression rates much greater than those obtained by
lossless compression techniques. That is, the human eye
cannot detect a difference between the original image and
the compressed then decompressed image with the lossy
compression method.
III. DICOM IMAGES
DICOM differs from other data formats in that it groupsinformation together into a data set. A DICOM data objectconsists of a number of attributes, containing such items asname, ID, etc, and also one special attribute containing theimage pixel data. The previewer gives a list of files from aselected directory. Header and image data of the selected fileare displayed immediately.
IV. WAVELETS
Algorithms based on wavelets have been shown to work
well in image compression. Separating the smoothvariations and details of the image can be done by
decomposition of the image using a Discrete Wavelet
Transform (DWT). The symmetric extension details were
being perfected for biorthoganal wavelets especially for low
frequency images. Extensive research has shown that the
images obtained with wavelet-based methods yield good
visual quality. At first it was shown that even simple coding
methods produced good results when combined with
wavelets. SPIHT employs more sophisticated coding. In
fact, SPIHT exploits the properties of the wavelet-
transformed images to increase its efficiency.
CDF biorthoganal wavelet preferred to perform better
compared to other wavelets for the compression of DICOM
images. This wavelet, which is used in JPEG 2000
compression, is used along with SPIHT to provide high
compression ratio and also good resolution. The perceived
image quality is significantly improved using CDF wavelet.
V. SPIHT CODER
SPIHT technique is based on a wavelet transform and
differs from conventional wavelet compression only in how
it encodes the wavelet coefficients. SPIHT is based on three
concepts (1) exploitation of the hierarchical structure of the
wavelet transform by using tree-based organization of the
coefficients, (2) partial ordering of the transformed
coefficients by magnitude, (3) ordered bit plane
transmission of refinement bits for the coefficient values.
This leads to a compressed bit stream in which the most
important coefficients are transmitted first. The values of all
coefficients are progressive refined and the relationship
between coefficients representing the same location at
different scales is fully exploited for compression
efficiency. The SPIHT algorithm appears to give extremely
good performance in DICOM image compression. The fully
embedded nature of the output bit stream also makes an
excellent choice for progressive transmission. The interband
spatial dependencies are captured in the form of parent-child
relationships. The arrows in Fig.1 point from the parent
node to its four children. With the exception of the coarsest
subband and the finest subbands each wavelet coefficient at
the i-th level of composition is spatially correlated to 4 child
coefficients at level i-1 in the form of 2x2 blocks of adjacent pixels. These 4 child coefficients are at the same relative
location in the subband decomposition structure. This
relationship is utilized during SPIHT quantization. If a
parent coefficient is insignificant with respect to a particular
threshold then all of its children would most likely be
insignificant and similarly significant coefficients in the
finer subband most likely correspond to a significant parent
in the coarser subband. This results in the significant
savings: only the parent’s position information needs to be
coded since the children’s coordinate scan be inferred from
the parent’s position information.
VI.
CODING OF DICOM IMAGES The previewer gives a list of files from a selected
directory. Header and image data of the selected file are
displayed immediately. These medical images are
volumetric consisting of a series of sequences of slices
through a given part of the body. To maintain uniform
quality for all sequences of slices a single slice is encoded
and compressed bitstream is sent to the decoder. After the
encoder and decoder finish all the slices in a sequence, it
shifts to process the next sequence of slices. The block
diagram of proposed method is shown in Fig. 1.
DICOM images are first decomposed using generalized
CDF wavelet filter and the wavelet coefficients are encoded
using SPIHT. The algorithm starts at the coarsest sub band in the sub band pyramid. SPIHT captures the current bit-
plane information of all the DWT coefficients and organizes
them into three subsets: (1) List of Significant Pixels (LSP),
(2) List of Insignificant Pixels (LIP) and (3) List of
Insignificant Sets of Pixels (LIS)). LSP constitutes the
coordinates of all coefficients that are significant. LIS
contains the roots of insignificant sets of coefficient.
Finally, LIP contains a list of all coefficients that do not
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belong to either LIS or LSP and are insignificant. During
the encoding process these subsets are examined and labeled
significant if any of its coefficients has a magnitude larger
than a given threshold. The significance map encoding (set
partitioning and ordering pass) is followed by a refinement
pass, in which the representation of significant coefficients
is refined. These thresholds used to test significance are powers of two, so in its essence, the SPIHT algorithm sends
the binary representation of the integer value of wavelet
coefficients.
Compressed
image
Reconstructed Compressed
Image image
Figure 1. Block diagram of Coding method.
VII. EXPERIMENTAL R ESULTS
DICOM series of images of resolution 256 pixels by 256
pixels and 512 pixels by 512 pixels are used for
experiments. SPIHT have better visual quality than JPEG
compression and Fractal image compression. From the
selected directory the files will be listed by the previewer.
From sequences of slices a single slice is first decomposed
using generalized CDF wavelet filter and the wavelet
coefficients are encoded using SPIHT coder and compressed
bitstream is sent to the decoder. After the encoder and
decoder finish all the slices in a sequence, it shifts to processthe next sequence of slices. The original and reconstructed
images with bit rate of 0.7 bpp and decomposition level of
4, processed by this algorithm is shown in Fig. 2. The
reconstructed images at a low bit rate show good quality
without distortion. The encoding and decoding time
increases as bit rate increases. The effectiveness of the
algorithm described above can be statistically modeled and
evaluated. Many number of DICOM images collected from
hospitals is used as material for this statistical survey. The
aim of this survey is to compare the objective quality
measures of the proposed method with standard JPEG
compression and Fractal image compression algorithms.
The performance of the proposed method for DICOM
images is much better than JPEG and Fractal techniques. This algorithm shows good performance as good as other algorithms at a lower bit rate. The peak signal to noise ratio
(PSNR) is defined by
PSNR = 10 log10
(255 2 / MSE) dB
The rate vs. PSNR results is excellent. At a bit rate of 0.5
bpp the compressed images exhibit better subjective quality
with PSNR exceeding 35 dB.
The Normalized Cross-Correlation is defined by
NK = ∑ ∑x (i, j) x ٨ (i, j) / ∑ ∑ x (i, j) 2
i j i j
The Average difference is defined as
AD = ∑ ∑ (x (i, j) - x ٨ (i, j)) / MN
i j
The Structural Content is evaluated by
SC = ∑ ∑ x (i, j) 2 / ∑ ∑ x ٨ (i, j) 2
i j i j
The objective quality measures correlate with the perceived
image quality and compared across different compression
algorithms. The numerical results are shown in Table I.
TABLE I. NUMERICAL R ESULTS OF SLICE 1
CompressionResults
Proposed JPEG Fractal
PSNR (dB)
38.71 24.45 28.32
CR 45.7295
47.65 162
Encoding time(sec)
2.64 2.5982 112.93
Decoding time(sec)
0.94 5.83 0.44
NK 73.2983
47.65 145
AD -0.6114 5.93 -0.0343
SC 1.0001
2.2495 1.0075
VIII. CONCLUSION
A wavelet based compression with set partitioning in
hierarchical trees appears to give extremely good
performance in DICOM series of images for medical image
compression. The proposed algorithm outperforms the
standard JPEG compression and fractal compression
DWT SPIHT coder
SPIHT
decoder
IDWT
DICOM
previewer
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algorithms in terms of both objective and subjective
measure. The subjective measure is based on the visual
inspection of the compressed images and the evaluations are
carried out among different images at various bit rates and
decomposition levels. Future work will include using the
methodology to preprocess the image for producing
significant improvement in compression efficiency at lower bit rates and also quality evaluation of various medical
volumetric datasets.
ORIGINAL RECONSTRUCTED ORIGINAL RECONSTRUCTED
IMAGE IMAGE IMAGE IMAGE
Figure 2. Visual performance of the slices taken from MRI data set at 0.7 bpp.
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R EFERENCES
[1] Wallace GK.’’The JPEG still picture compression standard,’’ Comm
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J.Cornelis, “Wavelet coding of volumetric medical datasets,” IEEE
Trans. Med. Imag.vol 22, pp.441-458, Mar.2003.
[3] A.R.Golderbank, Ingrid Daubechies, Wim Sweldens and Boon-Lock Yeo, “Lossless image compression using integer to integer wavelet
transforms,” IEEE Trans, 1997.[4] S.Hludov, Chr.Meinel, “DICOM - image compression,” IEEE, 1999.
[5] Said A.Pearlman WA,”A new fast and efficient image codec based
on set partitioning in hierarchical trees,” IEEE Trans. Circuits Syst.
Video Technology, vol.6, pp. 243-250, June 1996.[6] Shapiro JM,”Embedded image coding using zero trees of wavelet
coefficients,” IEEE Trans Signal Processing. 41:3445-3462, 1993.
[7] Y.Fisher, “Fractal Image compression: Theory and Application”,
Springer Verlag, N.Y., 1995.[8]Barnsley.M. “Fractals Everywhere,” Academic press. San Diego,
1989.[9] Marta Mrak, Sonja Grgic and Mislav Grgic, “ Picture Quality
Measures in Image Compression Systems,” EUROCON 2003, Slovenia.
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