References. Blackledge, J.M., Quantitative coherent imaging Theory, Methods and some Applications, Academic Press, London, 1989.

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1 References Andreon, 'Structural classification of galaxies in clusters', Astronomy and Astrophysics, 319: , Anson, L.F., 'Fractal Image Compression', BYTE, 10: ,1993. Barbara, D. and Chen, P., 'Using the fractal dimension to cluster datasets', Proc. of the 6th International Conference on Knowledge Discovery and DataMining (KDD-200), , Barnsley, M., Fractals Everywhere, Academic Press Inc., Batty, M., 'Fractals - geometry between dimensions', New Scientists, Blackledge, J.M., Quantitative coherent imaging Theory, Methods and some Applications, Academic Press, London, Burda, P. and FeitzingerJ.V., 'Galaxy classification using pattern recognition methods', Astronomy and Astrophysics, 261 : , Campbell, N.W., Thomas, B.T., and Troscianko, T., 'Automatic segmentation and classification of outdoor images using neural networks', International Journal of Neural Systems, 8 : , Chaudhuri, B.B. and Sarkar, N., 'Texture Segmentation using fractal dimension', IEEE Trans on PAMI, 17: 72-77, Chapman, G.A., Cookson, A.M., Dobias, J. J. and Walton, S.R., 'An Improved Determination of the Area Ratio offaculae to Sunspots', The Astrophysical Journal, 555 : ,

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3 Falconer, K, Fractal Geometry, Mathematical Foundations & Applications, Wiley & Sons, ', Feder, J., Fractals, Plenum, New York, Feitzinger, J.V., and Galinski, T., 'The fractal dimension of star-forming sites in galaxies', Astronomy and Astrophysics, 179: ,1987. Fisher, Y., A discussion of fractal image compression, in: H.-O. Peitgen, H. Jurgens, D. Saupe, Chaos and fractals, Springer-Verlag, New York, Fisher, Y., Fractal Image Compression: Theory and Application, Springer Verlag, Frei, Z., Guhathakurta, P., Gunn, 1.E. and Tyson, T., 'A Catalog of digital 113 nearby galaxies', Astronomical Journal, 111: ,1996. Frigaard, c., Gade, 1., Hemmingsen, T.T., and T., 'Image Compression based on a fractal theory', Technical Report S701, University, Aalborg, Denmark, Institute for Electronic Systems, Aalborg Gabriel, L., Pathology in geometry and geometry in pathology, St. Martin's Press, Gonzalez, RC. and Woods, RE., Digital Image Processing, Addison Wesley, Goodchild, M.F., 'Fractals and accuracy of geographical Geology 12(2): 85-98, measures', Mathematical Gose, E., Johnsonbaugh, Rand Jost, S., Pattern Recognition and Image Analysis:, PHI,

4 Hamzaoui, R. and Saupe, D., " Combining Fractal Image Compression and Vector Quantization", IEEE Trans. on Image Processing, 9 : , Han, M., 'Luminosity structure and objective classification of galaxies', Astrophysical Journal, 442: , " Hart, J.C., 'Fractal Image Compression and Recurrent Iterated Function Systems', IEEE Computer Graphics and Applications, 16 : 25-33, Hastings, M. and George, S.,. Fractals: A User's Guide for the_natural Sciences:. Oxford University Press, Oxford, Heck, A. and Perdang, J.M., Applying Fractalsjn Astronomy, Springer-Verlag, New York, Jacquin, A.E., 'Image coding based on a fractal theory of iterated contractive image transformation', IEEE Trans. Image Processing, 1: 18-30, Jacquin, A.E., Fractal image coding: A review, Proceedings of the IEEE 81, 10 : , Jahne, B. and HauBecker, H., Computer Vision and Applications, Academic Press, Jain, A.K., Fundamentals ofdigital Processing, Prentice Hall oflndia, Jain, A.K., 'Statistical Pattern Recognition: A Review', IEEE Trans on PAMI 22 : 1-36, 2000 Jain, A.K., and Dubes, R.c., Algorithms for clustering data, Prentice Hall, Englewood Cliffs, N.J.,

5 Jain, R., Kasturi, R. and Schunck, B.G., Machine Vision, Mc GrawHill Int Edition, Kasparis, T., Charalampidis, D., Georgiopoulos, M. and Rolland, 1., 'Segmentation of textured images based on fractals and image filtering', Pattern Recognition, 34 : , Klonowski, W., 'Signal and image analysis using chaos theory and fractal geometry', Machine Graphics & Vision, 9(1/2) : ,2000. Lee, C. K. and Lee, W.K., 'Fast Fractal Image Block Coding Based on Local Variances', IEEE Trans. Image Processing, 7 : , Li, H., Liu, K. J. R. and Lo, S. C. B., 'Fractal Modeling and Segmentation for the Enhancement of Microcalcifications in Digital Mammograms', IEEE Tral)S. Medical Imaging, 16: , Lian, S. and Cui, Y., 'Fractal and Its Application in Description of Spatial Information', Proceedings of the International Symposium on Digital Earth, Science Press, Luo, D., Pattern Recognition and Image Processing, Horwood Publishing Limited, Mandelbrot, B.B., The Fractal Geometry ofnature, W H Freeman, Oxford, Mandelbrot, B.B., Fractals Fransisco, CA, Form, Chance and Dimension. W.H. Freeman, San Mantas, J., 'Methodologies in pattern recognition and image analysis-a brief survey', Pattern Recognition, 20 : 1-6,

6 Marchette, DJ., Lorey, R.A., and Priebe, C.E., 'An analysis of local feature extraction in digital mammography', Pattern Recognition, 30: , Mattfeldt, T., 'Spatial Pattern Analysis using Chaos Theory: A Nonlinear Deterministic Approach to the Histological Texture of Tumors', 31: 50-72, Mc Culloch, W.S., and Pitts, W.H., 'A logical calculus of the ideas imminent in nervous activity', Bulletin of Mathematical Biophysics, 5: , McGregor, D.R., Fryer, RJ., Cockshott, P. and Murray, P., 'Fast Fractal Compression', Dr. Dobb's Journal, 21 : 243, McHardy, I. and Czermy, B., 'Fractal X-ray time variability and spectral invariance of the Seyfert galaxy NGC5506', Nature, 325 : ,1987. Molinari, E., 'Neural Network method for galaxy classification', Astronomy and Astrophysical Journal, 330: , Muhlmann, W. and Hanslmeier, A., 'Image Compression by means of Wavelet Transform Application to Solar Observations', Solar Physics 166: , Mukherjee,J, Kumar,P, Ghosh,S.K., 'A Graph- Theoretic Approach for Studying the Convergence of Fractal Encoding Algorithm', IEEE Trans. on Image Processing, 19 : , Nairn, A., Lahav, 0., Sodre, L., Jr and Storrie-Lombardi, M.C., 'Automated morphological classification of APM galaxies by supervised artificial neural networks', MNRAS, 275: , Odewahn, S.C, 'Automated Classification of Astronomical Images', Publications of the Astronomical Society of the Pacific, 107 : ,

7 0' Neil, T.C., 'The multifractal spectrum of quasi self-similar measures, Journal of Mathematical Analysis and Applications, 211 : , " Oritz, A., Solanki, S. K., Domingo, Fligge, M. and Snahuja, B., 'On the intensity contrast of solar photospheric faculae and network elements', Astronomy and Astrophysics, 388: , Osman, D.M.S., Newitt, D., Gies, A.M.S., Budinger, M.D., Vu Rao Truong, B.S. and Majumdar, S., 'Fractal based image analysis of human trabecular bone using the box counting algorithm : impact of resolution and relationship to standard measures of trabecular bone structure', Fractals, 6 : , Peebles, PJ.E., Physics D 38 : , Peleg, S., Naor, J., Hartley, R. and Avnir, D., 'Multiple Resolution Texture Analysis and Classification', IEEE Trans. on PAMI, 6 : ,1984. Perdang, J., 'Astrophysical Fractals: An overview and prospects', Vistas in Astronomy, 33: , Petgen, R., Jurgens, R., Saupe, D., Fractals for the classroom, Part one, Introduction to Fractals and Chaos, National Council of teachers of mathematics, Springer-Verlag, Philip, N.S., Wadadekar, Y, Kembhavi, A., Joseph, K.B., 'A difference boosting neural network for automated star-galaxy classification', Astronomy and Astrophysics, 385 : , Polvere, M. and Nappi, M., 'Speed-Up In Image Coding:Comparison of Methods', IEEE Trans. on image processing 9,

8 Revathy, K., and Fractals, 6: , Nayar, S.R.P, 'Fractal Analysis of Ionospheric Plasma Motion', Revathy, K., Raju, G., Nayar, S.R.P., 'Image Zooming by Wavelets', Fractals, 8 : , Ruhl, M., Hartenstein, H. and Saupe, D., 'Adaptive Partitioning For Fractal Image Compression', IEEE International Conference on Image Processing (ICIP'97), Santa Barbara, Saar, E., 'Towards fractal description of Structure', 332. Morphological Cosmology Proceedings,, Cracon, Poland, , Saha, S. and Vemuri, R., 'An analysis on the effect of image features on Lossy Coding Performance', IEEE Signal Processing Letters, 7 : , Sarkar, N. and Chaudhuri, B., 'An efficient approach to estimate fractal dimension of textural images', Pattern Recognition, 25 (9) : ,1992. Saupe,D., 'Breaking the time-complexity of fractal image compression', Technical Report 53, Institut fur Informatik, Universitat Freiburg, Saupe,D. and Hamzaoui,R., 'A review of the fractal image compression literature', ACM Computer Graphics, 28: ,1994. Sato, T., Matsuoka, M. and Takayasu, H., 'Fractal Image Analysis of Natural scenes and Medical Images', Fractal 4: , Sharma, M., M Phil Theses, University of Exeter,

9 Shelberg, M., 'The development of a curve and surface algorithm to measure fractal dimensions', Master's thesis, Ohio State University, Spiekermann, G., 'Automated Morprological Classification of faint galaxies', Astronomical Journal, 103 : , Stevens, R, T., 'Understanding self similar fractals', Prentice Hall of India, Thankee, S.G., 'Classification of galaxies', Degree Thesis, University of Nevada, Las Vegas, Tunnon, M. and Mukhtar, S., Proc. IEEE IntI. Conf. Image Proc., , Turner, MJ., Blackledge, 1M. and Andrews, P.R., Fractal Geometry in Digital Imaging, Academic Press, Vehel, J.L. and Mignot, P., 'Multifractal Segmentation of images', Fractals, 2: ,1994. Voss, R., Random fractals : Characterisation and measurement, Scaling Phenomena in Disordered Systems. Plenum, Ed: Pynn, R. and Skjeltorps, A., New York, Vuduc, R., 'Image Segmentation using fractal dimension', GEOL 634 Cornell University, Watson, S.R, and Preminger, D.G., 'Solar Feature Identification Using Contrasts and Contiguity', American Astronomical Society, SPD meeting #32, #01.24, Wu, K.K.S., Alexander, P., and Sleath, J.P, 'A study of the properties of mutifractal estimators applied to point distributions, with the aim of classifying galaxy srutures',mnras, 286: ,

10 Zaritsky, D., 'Spectral Classification of galaxies along the Hubble sequence', Astronomical Journal, 110 : , Zwiggelar, R., Bull, C., 'The use of the fractal dimension in images for plant recognition,' Fractal Reviews in the Natural and Applied Sciences, ,

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