This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include:

Historical outline
Curve and surface methods
Scientific Visualization
Implicit methods
Reverse engineering.

This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.


Libraries. Graduate students wishing to get some exposure to this subject.

Table of Contents


Chapter 1: A History of Curves and Surfaces in CAGD (G. Farin). Chapter 2: Geometric Fundamentals (W. Boehm, H. Prautzsch). Chapter 3: Geometries for CAGD (H. Pottmann, S. Leopoldseder). Chapter 4: Bezier Techniques (D. Hansford). Chapter 5: Rational Techniques (H.J. Wolters). Chapter 6: Spline Basics (C. de Boor). Chapter 7: Curve and Surface Constructions (D. Hansford, G. Farin). Chapter 8: Geometric Continuity (J. Peters). Chapter 9: Splines on Surfaces (M. Neamtu). Chapter 10: Box Splines (H. Prautzsch, W. Boehm). Chapter 11: Finite Element Approximation with Splines (K. Hoellig). Chapter 12: Subdivision Surfaces (M. Sabin). Chapter 13: Interrogation of Subdivision Surfaces (M. Sabin). Chapter 14: Multiresolution Techniques (L. Kobbelt). Chapter 15: Algebraic Methods for Computer Aided Geometric Design (T.W. Sederberg, J. Zheng). Chapter 16: Scattered Data Interpolation: Radial Basis and Other Methods (S.K. Lodha, R. Franke). Chapter 17: Pythagorean-Hodograph Curves (R.T. Farouki). Chapter 18: Voronoi Diagrams (K. Sugihara). Chapter 19: The Medial Axis Transform (H. I. Choi, C. Y. Han). Chapter 20: Solid Modeling (V. Shapiro). Chapter 21: Parametric Modeling (C. M. Hoffmann, R. Joan-Arinyo). Chapter


No. of pages:
© 2002
North Holland
eBook ISBN:
Print ISBN:

About the authors

G. Farin

Affiliations and Expertise

Arizona State University, Tempe, USA

J. Hoschek

Affiliations and Expertise

Technische Universität, Darmstadt, Germany

M.-S. Kim

Affiliations and Expertise

Seoul National University, South Korea


"This is a 'must reference'..." N.S. Sapidis (University of the Aegean, Ermoupoli, Greece), in: (Computer-Aided Design, Vol. 37, 2005)