Experiments on Animated Visual Forms

A series of experiments that investigate and demonstrate the visual logic of three-dimensional representation in animated form through the use of computers is presented. Perspective systems are designed to construct pictures that, when viewed, produce in the trained viewer the experience of depicted objects that match perceivable objects. Panofsky [1] wrote about how our capacities to see are constrained by the perspective system that we use, that is, by our way of depicting what we see. The kind of pictorial spaces are expressed through geometrical models. Each model is expressed as a geometrical transformation applied to Euclidean/Cartesian shapes of the physical environment. These transformations show how shapes are projected in pictorial space [2]. The work of Gauss, Riemann, von Helmholtz, and Clifford [3] showed that geometries could be based on axioms other than Euclidean. This altered the notion of geometry by revealing its abstract postulational character and removing it from any connection with the structure of empirical intuition. Spaces were constructed on the basis of non