Image processing is a central theme in computer graphics. This book provides a modern introduction to both the underlying mathematics and the main concepts and techniques of the subject. It covers important modern techniques such as morphing and warping images as well as dithering, compositing, and other operations on images.
The book explores fundamental concepts of function spaces and operators, emphasizing both continuous and discrete perspectives. It introduces Fourier and Window Fourier Transforms, leading to the development of the Wavelet transform. Key discussions include multiresolution representation and its significance in function discretization and wavelet construction, providing a comprehensive foundation for understanding these essential mathematical tools.