"The book is a concise, yet complete guide to this exciting domain, and it is obviously prepared with utmost care to make it coherent ... . A warm recommendation for researcher and student who want to learn (more) about subdivision. Definitely a reference work for the years to come." (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 18, 2011) "Subdivision surfaces allow designers to create models from control meshes in intuitive ways. ... This books aims to summarize the current knowledge on the subject ... . The target audience is researchers, instructors, and graduate students. The book is carefully written and can probably be used for an advanced graduate course for mathematically inclined students in computer graphics and computational mathematics, and also for students in differential geometry interested in applications." (Luiz Henrique de Figueiredo, The Mathematical Association of America, August, 2008)

• and Overview.- Geometry Near Singularities.- Generalized Splines.- Subdivision Surfaces.- C1k-Subdivision Algorithms.- Case Studies of C1k-Subdivision Algorithms.- Shape Analysis and C2k-Algorithms.- Approximation and Linear Independence.- Conclusion.