Simple gestalt algebra

The laws of Gestalt perception rule how parts are assembled into a perceived aggregate. This contribution defines them in an algebraic setting. Operations are defined for mirror symmetry and repetition in rows respectively. Deviations from the ideal case are handled using positive and differentiable assessment functions achieving maximal value for the ideal case and approaching zero if the parts mutually violate the Gestalt laws. Practically, these definitions and calculations can be used in two ways: 1. Images with Gestalts can be rendered by using random decisions with the assessment functions as densities; 2. given an image (in which Gestalts are supposed) Gestalt-terms are constructed successively, and the ones with high assessment values are accepted as plausible, and thus recognized.