This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.

Algebraic Geometry and Geometric Modeling 2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin

ISBN-13: 9783642069932


Algebraic Geometry and Geometric Modeling 2006, Springer, Berlin, Germany

ISBN-13: 9783540332749

2006 edition