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Table Of Contents
Hands-On Image Processing and Computer Vision with Python - Second Edition
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In this chapter, images are studied as 2D signals in both the spatial and frequency domains. The chapter begins with spatial sampling and quantization, including image resizing, aliasing, and the Nyquist-Shannon sampling criterion, along with practical implementations using Python libraries. Intensity quantization and its impact on image quality and storage are also discussed.
The chapter introduces the discrete Fourier transform (DFT) for transforming images from the spatial domain to the frequency domain. You will learn how to compute the DFT and inverse DFT efficiently using the fast Fourier transform (FFT) algorithms provided by numpy and scipy, analyze image frequency spectra, and study important DFT properties such as linearity, separability, and Parseval’s energy conservation theorem. Related transforms, including the discrete cosine transform (DCT) and Walsh-Hadamard transform (WHT), are also introduced.
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