Geometric modeling

See also

• Architectural geometry
• computational conformal geometry
• Computer-aided engineering
• Computer-aided manufacturing
• Computational topology
• Digital geometry
• List of interactive geometry software
• Parametric curves
• Parametric surfaces
• Pythagorean-hodograph curves
• Solid modeling
• Space partitioning

Further reading

General textbooks:

• Jean Gallier (1999). Curves and Surfaces in Geometric Modeling: Theory and Algorithms. Morgan Kaufmann. This book is out of print and freely available from the author.
• Gerald E. Farin (2002). Curves and Surfaces for CAGD: A Practical Guide (5th ed.). Morgan Kaufmann. ISBN 978-1-55860-737-8.
• Max K. Agoston (2005). Computer Graphics and Geometric Modelling: Mathematics. Springer Science & Business Media. ISBN 978-1-85233-817-6. and its companion Max K. Agoston (2005). Computer Graphics and Geometric Modelling: Implementation & Algorithms. Springer Science & Business Media. ISBN 978-1-84628-108-2.
• Michael E. Mortenson (2006). Geometric Modeling (3rd ed.). Industrial Press. ISBN 978-0-8311-3298-9.
• Ronald Goldman (2009). An Integrated Introduction to Computer Graphics and Geometric Modeling (1st ed.). CRC Press. ISBN 978-1-4398-0334-9.
• Nikolay N. Golovanov (2014). Geometric Modeling: The mathematics of shapes. CreateSpace Independent Publishing Platform. ISBN 978-1497473195.

For multi-resolution (multiple level of detail) geometric modeling :

• Armin Iske; Ewald Quak; Michael S. Floater (2002). Tutorials on Multiresolution in Geometric Modelling: Summer School Lecture Notes. Springer Science & Business Media. ISBN 978-3-540-43639-3.
• Neil Dodgson; Michael S. Floater; Malcolm Sabin (2006). Advances in Multiresolution for Geometric Modelling. Springer Science & Business Media. ISBN 978-3-540-26808-6.

Subdivision methods (such as subdivision surfaces):

• Joseph D. Warren; Henrik Weimer (2002). Subdivision Methods for Geometric Design: A Constructive Approach. Morgan Kaufmann. ISBN 978-1-55860-446-9.
• Jörg Peters; Ulrich Reif (2008). Subdivision Surfaces. Springer Science & Business Media. ISBN 978-3-540-76405-2.
• Lars-Erik Andersson; Neil Frederick Stewart (2010). Introduction to the Mathematics of Subdivision Surfaces. SIAM. ISBN 978-0-89871-761-7.

External links

• Geometry and Algorithms for CAD (Lecture Note, TU Darmstadt)