Image Transforms Lecture
Nowadays, digital images and video are everywhere. Image Processing revolutionizes very many domains, notably:
-Digital Media (video/image/movie) Content Production and Broadcasting, Social Media Analytics,
-Medical/Biological/Dental Imaging and Diagnosis,
-Big Visual Data Analytics,
-Internet and Communications (media broadcasting, streaming).
-Scientific Imaging of any sort, e.g., Remote Sensing, Environment Sensing.
Photoshop and many other image processing tools are ubiquitous.
Furthermore, Image Processing is typically the first step that enables diverse applications, in unison with Computer Vision and Machine Learning:
-Autonomous Systems (cars, drones, vessels) Perception,
-Robotics Perception and Control,
-Intelligent Human-Machine Interaction,
-Anthropocentric (human-centered)Computing,
-Smart Cities/Buildings and Assisted living.
This lecture overviews Image Transforms that are instrumental in image filtering, compression and power spectrum estimation. It covers the following topics in detail: 2D Discrete Space Fourier Transform, 2D Discrete Fourier Transform and their properties. 2D FFT algorithms: Row-column FFT (RCFFT) algorithm, Vector-radix FFT (VRFFT) algorithm, Polynomial Transform FFT (PTFFT). 2D convolution calculation using 2D FFT algorithms. 2D DFT memory problems. 2D Power Spectrum estimation. Discrete Cosine Transform (DCT), 2D DCT and their use in image compression.