Abstract :
In part 1, we were talking about points, planes, and lines in 3D, more particularly in projective 3-space. The idea is to find algebraic expressions for the various geometric relationships between these objects. We were just on the verge of discovering what would be a good algebraic formulation for lines in projective 3D space. My goal here is to update my original paper to see how the results look using tensor diagram notation. I start by reviewing what we did last time, but will say some things a bit differently. You might pick up more insight from this different viewpoint.
Keywords :
computational geometry; computer graphics; diagrams; tensors; 3D planes; 3D points; algebraic expressions; geometric relationships; line formulation; projective 3-space; projective 3D space; tensor diagram notation; Algebra; Digital arithmetic; Equations; Indexing; Standards publication; Symmetric matrices;
