The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators’ most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras — Cayley bracket algebra, conformal geometric algebra, and null bracket algebra — for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.
You may also like
The third book of the Mathematics in Action series, Algebraic, Graphical, and Trigonometric Problem Solving, Fourth Edition, illustrates how mathematics arises...
Before financial problems can be solved, they need to be fully understood. Since in-depth quantitative modeling techniques are a powerful tool to understanding...
Fundamentals of Algebraic Modeling An Introduction to Mathematical Modeling with Algebra and Statistics 5th Edition PDF
Fundamentals of Algebraic Modeling An Introduction to Mathematical Modeling with Algebra and Statistics 5th Edition presents Algebraic concepts in non...
- Math Teachers Survival Guide PDF
- ODE/PDE Analysis of Multiple Myeloma Programming in R PDF
- Mathematical Physical Chemistry Practical and Intuitive Methodology PDF
- Mathematical Analysis of Physical Problems PDF
- Bioinspired Superhydrophobic Surfaces Advances and Applications with Metallic and Inorganic Materials PDF