Given a set or measure in Euclidean space, we consider its projection onto many different subspaces. Informally, we study an object by looking at its shadows in many different directions. How do the …

Isometric projection is a method for visually representing three-dimensional objects in two dimensions. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and …

More Abstraction: Abstract Projection Definitions Generally in math, a projection operator is an operator such that applying the operator twice yields the same result as applying it once, ie. (proj )(proj ) = proj

Projections Projections transform points in n-space to m-space, where m < n. In 3D, we map points from 3-space to the projection plane (PP) along projectors emanating from the center of projection (COP).

View volume can have different shapes (different looks) Different types of projection: parallel, perspective, orthographic, etc Important to control Projection type: perspective or orthographic, etc. …

Axonometric projections are orthographic projections that attempt to portray the general three-dimensional shape of an object. There are three types of axonometric projection distinguished by …

We construct the projection transform by considering how it will a ect the 8 corners of the original view volume, under whichever projection system is being employed.