Translator Disclaimer
11 January 2007 Additive basis for multivector information
Author Affiliations +
Proceedings Volume 6594, Lasers for Measurements and Information Transfer 2006; 65941A (2007)
Event: Lasers for Measurements and Information Transfer 2006, 2006, St. Petersburg, Russian Federation
A new kind of eight dimensional (8D) basis is suggested to describe geometric objects and processes in three dimensional (3D) vector space. In contrast to an ordinary 8D multivector basis for a corresponding geometric Clifford algebra G3.0, it is built from three kinds of complementary idempotent paravectors, defined through three basis vectors of Cartesian frame of reference. The new basis is extremely useful to describe all kinds of objects in G3.0 homogeneously, using only real numbers. It is especially suitable to describe and simulate interference phenomena for rotating vectors, bivectors, paravectors, spinors and other kinds of spatially anisotropic information carriers on traditional computers.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Victor I. Tarkhanov and Armand Ebanga "Additive basis for multivector information", Proc. SPIE 6594, Lasers for Measurements and Information Transfer 2006, 65941A (11 January 2007);


Parallel storage and retrieval of images
Proceedings of SPIE (April 14 1993)
Signed-digit online floating-point arithmetic for FPGAs
Proceedings of SPIE (October 21 1996)
Simulation of hysteresis in nonlinear systems
Proceedings of SPIE (May 01 1994)

Back to Top