Geometry and computing: geometric algebra with applications in engineering

The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematicalstructure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. 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: theoreticalfoundations 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. INDICE: 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: 978-3-540-89067-6
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 400
• Fecha Publicación: 01/01/2009
• Nº Volúmenes: 1
• Idioma: Inglés