Introduction to the Mathematics of Subdivision Surfaces

Lars-Erik Andersson took his Ph.D. in applied mathematics at Linkoeping University, Sweden. He is Professor and former Chair of the Department of Mathematics at that university. During 1989-1999 Andersson was Adjoint Director of Research at the Swedish National Defense Research Establishment. He is the author of about 60 publications in various fields: the geometry of Banach spaces, inverse problems, radar imaging, propagation of elastic waves, frictional contact problems in elasticity and computer-aided geometric design. He is a member of SIAM, the Swedish Mathematical Society and EUROMECH. Neil F. Stewart took his Ph.D. in computer science at the University of Toronto, Canada. He is Professor and former Chair of the Department of Computer Science at the Universite de Montreal. He is the author of about 40 publications in operations research and solid modeling.

List of figures; List of tables; Preface; Notation, conventions, abbreviations; 1. Introduction; 2. B-spline surfaces; 3. Box-spline surfaces; 4. Generalized-spline surfaces; 5. Convergence and smoothness; 6. Evaluation and estimation of surfaces; 7. Shape control; Appendix; Notes; Bibliography; Index.