11th Pacific Conference on Computer Graphics and Applications (PG'03)
Computer Graphics in its Fifth Decade: Ferment at the Foundations
Canmore, Canada
October 08-October 10
ISBN: 0-7695-2028-6
Traditionally, Computer Graphics is based on the mathematics of projective geometry, homogeneous coordinates, and matrix algebra. Recently these mathematical foundations have been called into question by several authors. Here we examine some possible alternative mathematical underpinnings for Computer Graphics, including Grassmann spaces and Grassmann coordinates, tensors and tensor algebra, and Clifford spaces and Clifford algebras.