Geometric Computations with Interval and New Robust Methods: Applications in Computer Graphics, GIS and Computational Geometry
โ Scribed by Helmut Ratschek, Jon Rokne
- Publisher
- Woodhead Publishing
- Year
- 2003
- Tongue
- English
- Leaves
- 337
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations, and the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free.
๐ SIMILAR VOLUMES
The interplay between computation and many areas of algebra is a natural phenomenon in view of the algorithmic character of the latter. The existence of inexpensive but powerful computational resources has enhanced these links by the opening up of many new areas of investigation in algebra.
<P>From the reviews: </P> <P>"... Many parts of the book can be read by anyone with a basic abstract algebra course... it was one of the author's intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage the
This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current t
<P>This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed. </P>