OPTIMUM COEFFICIENTS OF DISCRETE ORTHOGONAL TCHEBICHEF MOMENT TRANSFORM TO IMPROVE THE PERFORMANCE OF IMAGE COMPRESSION

This paper proposes an improved image compression scheme which utilizes optimum coefficients of discrete orthogonal Tchebichef moment transform. In the conventional moments-based-compression techniques, after making a trade-off between the conflicting factors, namely the quality of the reconstructed image and the compression ratio, the moments are chosen sequentially up to the desired order for reconstruction. But, as far as this proposed method is concerned, for reconstruction, it utilizes the optimally selected Tchebichef Moment Transform coefficients that yield better quality output image with a reasonable peak-signal-to-noise ratio for a desired value of compression ratio. Standard test images of different classes with various sizes (128x128, 256x256, 512x512 and 1024x1024) have been subjected to the proposed compression method for the block sizes 4x4 and 8x8 in order to assess its performance. The standard performance measures such as compression ratio, mean square error and peak-signal-to-noise ratio are considered in this study. The results reveal that the proposed method vis-a-vis the task of compression performs invariably well for the different classes of input images of above-mentioned sizes.

[1]  Yiannis S. Boutalis,et al.  Pattern classification by using improved wavelet Compressed Zernike Moments , 2009, Appl. Math. Comput..

[2]  R. Mukundan.  Improving Image Reconstruction Accuracy Using Discrete Orthonormal Moments , 2003, CISST.

[3]  R. Mukundan,et al.  A Fast 4 $\times$ 4 Forward Discrete Tchebichef Transform Algorithm , 2007, IEEE Signal Processing Letters.

[4]  Ramakrishnan Mukundan,et al.  A Comparison of Discrete Orthogonal Basis Functions for Image Compression , 2004 .

[5]  R. Mukundan,et al.  Some computational aspects of discrete orthonormal moments , 2004, IEEE Transactions on Image Processing.

[6]  Nur Azman Abu,et al.  Fast 4x4 Tchebichef Moment Image Compression , 2009, 2009 International Conference of Soft Computing and Pattern Recognition.

[7]  David A. Huffman,et al.  A method for the construction of minimum-redundancy codes , 1952, Proceedings of the IRE.

[8]  Jianqin Zhou,et al.  On discrete cosine transform , 2011, ArXiv.

[9]  Beatrice Lazzerini,et al.  A multi-objective evolutionary approach to image quality/compression trade-off in JPEG baseline algorithm , 2010, Appl. Soft Comput..

[10]  Majid Ahmadi,et al.  Pattern recognition with moment invariants: A comparative study and new results , 1991, Pattern Recognit..

[11]  Ajit S. Bopardikar,et al.  Wavelet transforms - introduction to theory and applications , 1998 .

[12]  M. Teague.  Image analysis via the general theory of moments , 1980 .

[13]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1991, CACM.

[14]  Sim Heng Ong,et al.  Image Analysis by Tchebichef Moments , 2001, IEEE Trans. Image Process..

[15]  Raveendran Paramesran,et al.  Image analysis by Krawtchouk moments , 2003, IEEE Trans. Image Process..

[16]  Michael W. Marcellin,et al.  JPEG2000 - image compression fundamentals, standards and practice , 2013, The Kluwer international series in engineering and computer science.

[17]  Raveendran Paramesran,et al.  Image Analysis Using Hahn Moments , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  Alan C. Bovik,et al.  A Statistical Evaluation of Recent Full Reference Image Quality Assessment Algorithms , 2006, IEEE Transactions on Image Processing.

[19]  Andrew B. Watson,et al.  Image Compression Using the Discrete Cosine Transform , 1994 .

[20]  H. Zenkouar,et al.  Images compression using moments method of orthogonal polynomials , 1997 .

[21]  Zhan Ma,et al.  Perceptual Quality Assessment of Video Considering Both Frame Rate and Quantization Artifacts , 2011, IEEE Transactions on Circuits and Systems for Video Technology.

[22]  Huazhong Shu,et al.  Translation and scale invariants of Tchebichef moments , 2007, Pattern Recognit..

[23]  Chee-Way Chong,et al.  Translation and scale invariants of Legendre moments , 2004, Pattern Recognit..

[24]  George A. Papakostas,et al.  Novel moment invariants for improved classification performance in computer vision applications , 2010, Pattern Recognit..

[25]  Ramakrishnan Mukundan,et al.  An efficient compact Tchebichef Moment for image compression , 2010, 10th International Conference on Information Science, Signal Processing and their Applications (ISSPA 2010).

[26]  Anil K. Jain.  Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[27]  Siddharth Nagar,et al.  Image Compression Using Discrete Cosine Transform , 2008 .

[28]  Ramakrishnan Mukundan,et al.  PERFECT IMAGE RECONSTRUCTION USING DISCRETE ORTHOGONAL MOMENTS , 2004 .