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# HW2 - cartesian plane(x,y to points in the log-polar plane...

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COSC 4393/6380 Digital Image Processing Department of Computer Science University of Houston Assignment #2 Due: 11/14/10 1. Many artificial vision systems have been motivated by the image sensing capabilities of biological vision systems. One such mechanism is scene sampling, motivated by the inherent structure of the retina. Photoreceptors in the retina are distributed to provide high resolution on the central part of the retina (fovea) with decreasing resolution towards the periphery. This has motivated the log-polar image geometry. When compared to the usual cartesian images, the log-polar images allow faster sampling rates on artificial vision systems without reducing the size of the field of view. The log-polar transformation is a conformal mapping from the points on the
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Unformatted text preview: cartesian plane (x,y) to points in the log-polar plane ( ρ , θ ): The mapping is described by: ρ = log x 2 + y 2 θ = a tan y x ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Write a program to map an input image to the log-polar space. For visualization, ρ should be a discrete variable. You can achieve this by equating ρ =radius and ignoring the log operation. θ sampling should be a free parameter. Test your code with θ =64. This should result in a polar image of size 128x64 for an input image of size 256x256. In addition, develop a simple user interface that allows for selection of a point in an image and performs the mapping to generate the retinal image. 2. Test the developed operations with the images provided and report on the results....
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