Table of Contents

List of Figures; Preface; 1. Introduction; 2. Classical Descriptions and Properties of Domains; 3. Relaxation to Measurable Domains; 4. Topologies Generated by Distance Functions; 5. Oriented Distance Function and Smoothness of Sets; 6. Optimization of Shape Functions; 7. Transformations versus Flows of Velocities; 8. Shape Derivatives and Calculus, and Tangential Differential Calculus; 9. Shape Gradients under a State Equation Constraint; Elements of Bibliography; Index of Notation; Index.

Promotional Information

The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.