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Bachelor thesis on projective geometric algebra
This repository contains the work I have done so far for my Bachelor's thesis of Artificial Intelligence at the University of Amsterdam. I will investigate which geometric elements can be represented in a 6-dimensional (Plücker) model for geometric algebra of 3D projective line geometry, and implement a visualization module for GAViewer.
Does not happen with (tangent) bivectors. Why?
Internally, GAViewer believes that elements of grade 6 or higher, are of this special grade. Should be fixed.
Given k-blade B = v[0], ..., v[k-1]. Its weight is defined as w(B) = w(v[0]) * ... * w(v[k-1]), and should be invariant under the projective transformations.
This is not the case for the line pencil (2-blade B = x^y, and x . y == 0). This problem originates probably from the factorization algorithm? Find a fix, please!
How should those be displayed?
Find both lines it consists of.
Has it something to do with finding the center?
... which makes the weight of pencils instable.
Given k-blade B = v[0], ..., v[k-1]. Its weight is defined as w(B) = w(v[0]) * ... * w(v[k-1]), and should be invariant under the projective transformations.
This is not the case for the line pencil (2-blade B = x^y, and x . y == 0). This problem originates probably from the factorization algorithm? Find a fix, please!
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