1.1 OVERVIEW1.2 SOME COMMON IMAGE PROCESSING PROBLEMS1.3 SIGNALS AND IMAGES1.4 VECTOR SPACE MODELS FOR SIGNALS AND IMAGES1.5 BASIC WAVEFORMS—THE ANALOG CASE1.6 SAMPLING AND ALIASING1.7 BASIC WAVEFORMS—THE DISCRETE CASE1.8 INNER PRODUCT SPACES AND ORTHOGONALITY1.9 SIGNAL AND IMAGE DIGITIZATION1.10 INFINITE-DIMENSIONAL INNER PRODUCT SPACES1.11 MATLAB PROJECT