Research Catalog

Title

Geometric algebra with applications in engineering / Christian Perwass.

Author

Perwass, Christian.

Publication

Berlin : Springer, ©2009.

Items in the Library & Off-site

Details

Description

xiv, 385 pages : illustrations (some color); 24 cm

Summary

"This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation." "Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials."--Jacket.

Series Statement

Geometry and computing ; 4

Uniform Title

Geometry and computing ; 4.

Subject

• Clifford algebras
• Geometrische Algebra

Bibliography (note)

• Includes bibliographical references (p. 369-379) and index.

Contents

Introduction -- Learning geometric algebra with CLUCalc -- Algebra -- Geometries -- Numerics -- Uncertain geometric entities and operators -- The inversion camera model -- Monocular pose estimation -- Versor functions -- Random-variable space.

ISBN

• 9783540890676
• 354089067X
• 9783540890683
• 3540890688

LCCN

2008939438

OCLC

• ocn262720659
• 262720659
• SCSB-9178507

Owning Institutions

Princeton University Library