Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science
J. Sethian. Cambridge Monograph on Applied and Computational Mathematics Cambridge Univeristy Press, Second edition, (1999)
This is a new book on level set methods and Fast Marching Methods, which are numerical techniques for analyzing and computing interface motion in a host of settings. The numerical techniques can be used to track three-dimensional complex fronts that can develop sharp corners and change topology as they evolve. The text includes applications from physics, chemistry, fluid mechanics, combustion, image processing, material science, seismology, fabrication of microelectronic components, computer vision and control theory. The book is intended for mathematicians, applied scientists, practicing engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.The book is written on an introductory level. As a prerequisite, it is suggested that the reader be acquainted with some beginning programming, vector calculus, and some very basic aspects of scientific computing. The text is an equal blend of theory, implementations, and applications areas, including detailed descriptions of the appropriate numerical schemes.