Algebraic Frames for the Perception-Action Cycle

Dr. Gerald Sommer ist Vorsitzender der Heimito von Doderer-Gesellschaft.

Algebraic aspects of designing behavior based systems.- From multidimensional signals to the generation of responses.- Perception and action using multilinear forms.- Local image operators and iconic structure.- On automatic selection of temporal scales in time-causal scale-space.- Some applications of representations of lie algebras and lie groups.- A systematic approach to geometry-based grouping and non-accidentalness.- Multi-dimensional signal processing using an algebraically extended signal representation.- On Hestenes' formalization for describing linear image transforms.- Fractal basis functions for pattern recognition.- Trilinear tensor: The fundamental construct of multiple-view geometry and its applications.- Algebraic and geometric tools to compute projective and permutation invariants.- A unified language for computer vision and robotics.- Structure from translational observer motion.- The geometry of visual space distortion.- The cascaded Hough transform as support for grouping and finding vanishing points and lines.- Visual perception strategies for 3D reconstruction.- Statistical optimization and geometric visual inference.- Path prediction and classification based on non-linear filtering.- Bottom-up derivation of the qualitatively different behaviors of a car across varying spatio-temporal scales: A study in abstraction of goal-directed motion.- Neural network approaches for perception and action.- Geometric neural networks.