Future vision and trends on shapes, geometry and algebra [electronic resource] / Raffaele De Amicis, Giuseppe Conti, editors.

9781447164616 electronic book
144716461X electronic book
9781447164609

London : Springer, 2014.

English

1 online resource (viii, 162 pages) : illustrations (some color).

10.1007/978-1-4471-6461-6 doi

QA564

516.3/5

Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework. Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques -- properly specialized to solve geometric problems -- to seriously improve accuracy, robustness and efficiency of CAD-systems. It provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures, and to improve control of NC machines. This book further introduces a noteworthy representation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numerical algebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vision and Trends on Shapes, Geometry and Algebra is aimed specialists in the area of mathematics and computer science on the one hand and on the other hand at those who want to become familiar with the practical application of algebraic geometry and geometric modelling such as students, researchers, and doctorates.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed June 23, 2014).

Springer proceedings in mathematics & statistics ; v.84.

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