Table of Contents

Mathematics and Data Structures.- Mathematical Fundamentals.- Spatial Data Structures.- Sampling Methods.- Root Isolation Methods.- Interval Arithmetic.- Root-Finding Methods.- Reconstruction and Polygonisation.- Continuation Methods.- Spatial Partitioning Methods.- Implicit Surface Fitting.- Designing Complex Implicit Surface Models.- Skeletal Implicit Modelling Techniques.- Natural Phenomenae-I: Static Modelling.- Natural Phenomenae-II: Animation.

Reviews

From the reviews: "The book does contain many algorithm examples and ! graphics examples, as well as a scattering of data structures but it would have benefited greatly from a chapter devoted entirely to graphics programming. ! A computer graphics specialist who needs to learn how to actually implement the various algorithms would need to look elsewhere. ! This book would be ideal as an introduction to the field for a beginning researcher, or for a graphics specialist who wants ! introductory information on a particular algorithm." (Alasdair McAndrew, ACM Computing Reviews, December, 2009) "The book consist of eleven chapters organized in four parts and can be seen as a self-contained tool for graduate students, researchers, and interested practitioners from industry, regarding the usage of implicit curves and surfaces for computer graphics, geometric modelling, computer games etc. ! The book ends with a rich reference section containing more than 400 papers, enforcing the idea that this work represents a valuable source for the reader." (Mirel Cosulschi, Zentralblatt MATH, Vol. 1190, 2010)