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Explore the concepts of Fourier Transform, Fast Fourier Transform, and Logarithmic Transform for image deblurring. Learn to enhance image quality by transforming spatial domain to frequency domain effectively.
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Image Deblurring Techniques Kang Guo TJHSST Computer Systems Lab 2009-2010
Image Blur • Common cause of image quality degradation in photography • Removing blur from images is a practical application
Fourier Transform • Spatial domain to Frequency domain • N, N^2 transforms • Imaginary numbers, displayed with magnitude • Given a+bi, √(a^2+b^2) • e^(iӨ) = cos(Ө)+isin(Ө)
Fast Fourier Transform • Speed improvement • 2N, N transforms • 2 components
Logarithmic Transform • Fit all values within the range of 8-bit color values Image without the logarithmic transform
Results Original Image Fourier Transformed Image