Accession Number:

ADA615302

Title:

Implementation of Geometric Algebra in MATLAB (registered trademark) with Applications

Descriptive Note:

Technical rept.

Corporate Author:

DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION EDINBURGH (AUSTRALIA) WEAPONS SYSTEMS DIV

Personal Author(s):

Report Date:

2014-09-01

Pagination or Media Count:

57.0

Abstract:

Geometric Algebra is the most appropriate unifying mathematical language to describe diverse problems in mathematics, physics, engineering and computer science. In combination with Projective Geometry it provides an efficient framework for computer vision and robotics, where image processing and recognition play the central role. This document addresses a gentle introduction to Geometric Algebra followed by its implementation in MATLAB. The developed fully vectorized code is thoroughly tested. Several applications are presented in the form of unit tests, amongst which are some basic algorithms for the reconstruction of a three-dimensional structure from two-dimensional images.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics
  • Computer Programming and Software
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE