Modeling of Curves and Surfaces with MATLABʼ

• Main Author: Rovenski, Vladimir. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2010.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematics.; Computer graphics.; Computer science.; Differential equations, partial.; Visualization.; Geometry.; Global differential geometry.; Differential Geometry.; Computer Graphics.; Partial Differential Equations.; Computer Applications.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-71278-9

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonst...

Table of Contents:

• Preface
• Part 1: Functions and Transformations
• Functions and Graphs.-Rigid Motions (Isometries)
• Affine and Projective Transformations.-Mobius Transformations
• Part 2: Curves and Surfaces
• Examples of Curves
• Geometry of Curves
• Surfaces
• Geometry of Surfaces
• Examples of Surfaces.-Piecewise Curves and Surfaces
• Appendix: M-files.-References
• Index.