# PHYSICAL APPLICATIONS OF GEOMETRIC ALGEBRA

@inproceedings{Doran2006PHYSICALAO, title={PHYSICAL APPLICATIONS OF GEOMETRIC ALGEBRA}, author={Chris Doran and Anthony N. Lasenby and Course Aims and A Quick Tour}, year={2006} }

GEOMETRIC ALGEBRA Chris Doran and Anthony Lasenby COURSE AIMS To introduce Geometric Algebra as a new mathematical technique to add to your existing base as a theoretician or experimentalist. To develop applications of this new technique in the fields of classical mechanics, engineering, relativistic physics and gravitation. To introduce these new techniques through their applications, rather than as purely formal mathematics. To emphasise the generality and portability of geometric algebra…

## 8 Citations

A covariant approach to geometry using geometric algebra

- Mathematics, Computer Science
- 2004

Using the mathematical framework of conformal geometric algebra – a 5-dimensional representation of 3-dimensional space – is shown to provide an elegant covariant approach to geometry, thus enabling us to deal simply with the projective and non-Euclidean cases.

Elements of Geometric algebra

- Mathematics

Geometric algebra is a consistent computational framework in which to define geometric primitives and their relationships. This algebraic approach contains all geometric operators and permits…

Gaigen 2:: a geometric algebra implementation generator

- Computer ScienceGPCE '06
- 2006

Geometric Algebra (GA) is an algebra that encodes geometry much better than standard techniques, which are mainly based on linear algebra with various extensions. Compared to standard techniques, GA…

Can physics laws be derived from monogenic functions

- Physics
- 2006

This is a paper about geometry and how one can derive several fundamental laws of physics from a simple postulate of geometrical nature. The method uses monogenic functions analysed in the algebra of…

Total Least Squares Fitting of k-Spheres in n-D Euclidean Space Using an (n+2)-D Isometric Representation

- MathematicsJournal of Mathematical Imaging and Vision
- 2014

The framework is used to show how the hyperaccurate fit hypersphere of Al-Sharadqah and Chernov is a minor rescaling of the Pratt fit hypersPhere, and to embed this ‘Pratt 2D circle fit’ into the framework of conformal geometric algebra (CGA), and show the fits are optimal.

Isotropic Quadrature Filter for Motion Estimation Problems

- Mathematics
- 2005

Quadrature filters are a well known means for local spectral analysis of images and to extract relevant structure. Recently, there has been the discovering of an isotropic quadrature filter for…

A 3D isotropic quadrature filter for motion estimation problems

- MathematicsVisual Communications and Image Processing
- 2005

Quadrature filters are a well known means for local spectral analysis of images and to extract relevant structure. Recently, there has been the discovering of an isotropic quadrature filter for…