Computational Line Geometry

From the reviews:

MATHEMATICAL REVIEWS

"In this book, the authors have combined results from the classical parts of geometry with computational methods, This results in a unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in. The book will help to bring the concepts and techniques of line geometryto the attention of a wider audience."

This book for the first time studies line geometry from the viewpoint of scientific computation and shows the interplay between theory and numerous applications Includes supplementary material: sn.pub/extras

Autorentext
Helmut Pottmann ist Professor für Geometrie an der Technischen Universität Wien und seit 2009 Direktor des Forschungszentrums für Geometrische Modellierung und wissenschaftliche Visualisierung an der King Abdullah University of Science and Technology in Saudi Arabien. Er hatte Lehr- und Forschungsaufträge ua. an Universitäten in Hamburg, Kalifornien und Peking.

Zusammenfassung

From the reviews:

MATHEMATICAL REVIEWS

"In this book, the authors have combined results from the classical parts of geometry with computational methods, This results in a unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in. The book will help to bring the concepts and techniques of line geometryto the attention of a wider audience."

Inhalt
Fundamentals.- Models of Line Space.- Linear Complexes.- Approximation in Line Space.- Ruled Surfaces.- Developable Surfaces.- Line Congruences and Line Complexes.- Linear Line Mappings #x2014; Computational Kinematics.