Specifying an Affine Rectangle

An affine rectangle is any quadrilateral where the opposite sides are parallel to each other. Squares, rectangles, and parallelograms are all affine rectangles. The figure below shows examples of affine rectangles.

Affine rectangles

The affine rectangles used by the Affine Rectangle Sampling tool and the Projection tool have labeled vertices. The four vertices are:

  • Origin point (shown as Po)
  • X vertex point (shown as Px)
  • Y vertex point (shown as Py)
  • Opposite vertex point (shown as Popp)

The figure below shows each of the affine rectangles from the figure above with their vertices labeled.

Labeled affine rectangles