Modeling of Curves and Surfaces with MATLAB®

• Main Author: Rovenski, Vladimir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2010.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematics.; Computer graphics.; Mathematical analysis.; Analysis (Mathematics).; Visualization.; Geometry.; Differential geometry.; Discrete mathematics.; Differential Geometry.; Discrete Mathematics.; Analysis.; Computer Graphics.

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:

• Functions and Transformations
• Functions and Graphs
• Rigid Motions (Isometries)
• Affine and Projective Transformations
• Möbius Transformations
• Curves and Surfaces
• Examples of Curves
• Geometry of Curves
• Geometry of Surfaces
• Examples of Surfaces
• Piecewise Curves and Surfaces.