An introduction to Geometric Algebra that will give a strong grasp of its relationship to linear algebra and its significance for 3D programming of geometry in graphics, vision, and robotics is found.Expand

IEEE Transactions on Pattern Analysis and Machineā¦

1 April 1984

TLDR

It is proved that every ``straight'' chaincode string can be represented by a set of four unique integer parameters, and a mathematical expression is derived for the set of all continuous line segments which could have generated a given chain code string.Expand

This half day tutorial will emphasize that Geometric Algebra is a unified language for a lot of mathematical systems used in Computer Graphics, and can be used in an easy and geometrically intuitive way in Computer graphics.Expand

IEEE Transactions on Pattern Analysis and Machineā¦

1 February 2005

TLDR

This paper performs the first order error analysis of the Procrustes method for the 3D case, fully specifying how directional noise in the point clouds affects the estimated parameters of the rigid body motion.Expand

This chapter gives explicit formulas for the square root and the logarithm of rotors in 3D CGA and classifies the types of conformal transformations and their orbits.Expand

The algorithm is developed and an application to robot path planning in configuration space, where the graph topology, transition costs, or start/goals may change simultaneously, is discussed.Expand

For continuous straight lines and straight object boundaries, the best accuracy that can be reached in the estimation of length (and other properties) is shown, in the absence of noise.Expand