In this paper, a geometric interpretation is provided of a new rational Landen transformation. The convergence of its iterates is also established.

We present a geometric framework to model the optical effects of deformations planar holographic elements (HOE) into curved surfaces, such as sphere segments. In particular, we consider which do not preserve Gaussian curvature.

In a former work of ours [I], we proposed a new way to express and interpret the epipolar constraint using Geometric Algebra, and we derived from it a novel and efficient 2view camera calibration technique. In this paper we extend this GA approach to the 3-view case. Aiter expressing the trifocal constraint in t e m of bivectors and trivectors, we provide an altemative geometric interpretation ...

Richard Hammack ([email protected]) received his Ph.D. from the University of North Carolina at Chapel Hill. He developed an early version of this article while an undergraduate art student at Rhode Island School of Design, and it later became part of his master’s thesis at Virginia Commonwealth University. Following positions at Wake Forest University and Randolph-Macon College, he is now an as...