This book develops the mathematical foundation of modern image processing and low-level computer vision, bridging contemporary mathematics with state-of-the-art methodologies in modern image processing, whilst organizing contemporary literature into
This book is based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University, Nashville, Tennessee. The invitation to
1 Preliminaries 3 1.1 A Bit of History 4 1.2 Introduction 7 1.3 Motivation 8 1.3.1 Optics 8 1.3.2 Shape of a Liquid Drop 10 1.3.3 Optimization of a River-Crossing Trajectory 12 1.3.4 Summary 14 1.4 Extrema of Functions 14 1.5 Constrained Extrema and