Geometric Matrix Transforms

Abstract

Geometric matrix transforms are an intuitive way of defining and building geometric operations such as scale, translate, reflect, shear and rotate. In 2D, such operations are generally associated with images and text, and widely used in internet browsers, image-processing software, smart phones and watches. In 3D, they are used in computer games, computer animation, film special effects, virtual reality and scientific visualisation. They have proved so useful that they are incorporated in hardware to provide the highest possible execution speeds and real-time performance.