Oriented Projective Geometry

In [12] Stolfi developed a complete theory of Oriented Projective Geometry. He showed that assigning meaning to the sign of an otherwise homogenous representation of geometry could provide a multitude of benefits. This paper extends his work by applying the same approach to Conformal Geometric Algebra. Oriented Conformal Geometric Algebra allows intuitive manipulation of such concepts as half-spaces, inclusion within geometric entities and ordered intersections. It also illustrates the non-commutative nature of the meet. The paper concludes with some examples of applications in which Oriented Conformal Geometric Algebra is already providing benefits.

• Type: Conference
• Year: 1987
• Where: COMPGEOM
• Authors: Jorge Stolfi
• Keywords: COMPGEOM 1987, Conformal Geometric Algebra, Discrete Geometry, Geometric Entities, Oriented Projective Geometry