Explore the fundamentals of Fast Fourier Transform (FFT) and its application in image compression in this 44-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into topics such as natural images, computer-generated images, and the FFT calculation process. Examine practical image compression examples to understand the real-world applications of these concepts. Access supplementary materials including lecture notes and MATLAB code to enhance your learning experience. This lecture, part of a comprehensive engineering mathematics series, provides valuable insights for students and professionals interested in signal processing and data compression techniques.