Variational Minimax Optimization

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Image segmentation is the process of partitioning a digital image into multiple segments which makes the image more meaningful and easier to analyze. It is typically used to locate objects and boundaries (lines, curves, etc.) in images. Image Threholding is one of the Image segmentation methods, it converts the gray-scale image into a binary image.Variational minimax optimization is one of the best methods used for Image thresholding [1][5-9].In this paper I would study the the performance of this algorithm for a Noisy Gray scale image. For this, I consider an Image processing system model which is a logical block diagram of the processes involved in this performance study. The performance however will be in terms of Image similarity observed between the original binary image and the denoised but degraded binary image obtained using the above mentioned Image thresholding algorithm, The Image similarity or Image Quality is represented as Universal image quality index [2] which will differ for different values of SNR for the Noisy Gray scale Image. Finally the results are tabulated and conclusions are made. 1. Introduction In many applications of image processing, the gray levels of pixels belonging to the object or foreground are quite different from the gray levels of the pixels belonging to the background. Thresholding becomes then a simple tool to separate foreground from the background. Examples of thresholding applications are document image analysis where the goal is to extract printed characters logos, graphical map processing where lines, legends, characters are to be found, quality inspection of materials etc [3].The output of the thresholding operation is a binary image whose gray level of 0 (black) will indicate ... ... middle of paper ... ...Variational Image Thresholding N. Ray, B.N. Saha Alberta Univ., Edmonton Proceedings / ICIP ... International Conference on Image Processing 01/2007; 6:VI - 37 - VI - 40. DOI:10.1109/ICIP.2007.4379515 ISBN: 978-1-4244-1437-6 In proceeding of: Image Processing, 2007. ICIP 2007. IEEE International Conference on, Volume: 6 [6]A. Ruszczynski, Nonlinear Optimization, Princeton University Press, Princeton, NJ, 2006. [7] Brown, Robert Grover; Hwang, Patrick Y.C. (1996). Introduction to Random Signals and Applied Kalman Filtering (3 ed.). New York: John Wiley & Sons. ISBN 0-471-12839-2. [8] The Colour Image Processing Handbook By Sangwine, Stephen J.; Horne, Robin E.N. (Eds.)1998, XV, 440 p [9] Thomos, N., Boulgouris, N. V., & Strintzis, M. G. (2006, January). Optimized Transmission of JPEG2000 Streams Over Wireless Channels. IEEE Transactions on Image Processing , 15 (1).

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