Graphical models of the projective extension of the real 3-space

Abstract

A standard generalization of the real 3-space is its projective extension by points at infinity. Points of the projectively extended 3-space are represented by their homogenous coordinates in a four-dimensional setting.

Four-dimensional visualization in the double orthogonal projection of the 4-space onto two mutually perpendicular 3-spaces of the construction of the projective extension and related graphical models are described in the contribution.

Keywords

• four-dimensional visualization
• projective extension of the real space
• homogenous coordinates
• double orthogonal projection