Projective Geometry: Abstract

Projective geometry is a fairly easily understood non-euclidean geometry that has many practical applications, especially in the field of computer graphics. It is the study of the transformations of geometric points and figures under projections, such as, for example, viewing objects in perspective. It is non- euclidean because we must consider, for example, projections that project points to and from infinity (vanishing points in a perspective drawing, for example). In this circle we'll look at simple examples in 1, 2, and 3 dimensions of projective transformations.