Geometry and Interpolation of Curves and Surfaces McLeod Robin J. Y.
Geometry and Interpolation of Curves and Surfaces McLeod Robin J. Y. This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of…
Specifikacia Geometry and Interpolation of Curves and Surfaces McLeod Robin J. Y.
Geometry and Interpolation of Curves and Surfaces McLeod Robin J. Y.
This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation.
They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. They then introduce projective coordinates as tools for dealing with higher order curves and singular points. In the final chapter,