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This book constitutes the refereed proceedings of the Second International Workshop on Algebraic Frames for the Perception-Action Cycle, AFPAC 2000, held in Kiel, Germany in September 2000.
The 20 regular papers presented together with seven invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are action representation analysis, perception-action structure, colorimetry, motion modeling, spatio-temporal structures, geometric transformations, Clifford algebras, geometric algebra, illumination changes, contact modeling, wavelets, adaptive system behaviour, kinematics, hyperharmonic signal analysis, motion estimation, geodesic conturs, etc.
Analyzing Action Representations.- The Systems Theory of Contact.- An Associative Perception-Action Structure Using a Localized Space Variant Information Representation.- The Structure of Colorimetry.- Fast Calculation Algorithms of Invariants for Color and Multispectral Image Recognition.- Modelling Motion: Tracking, Analysis and Inverse Kinematics.- The Lie Model for Euclidean Geometry.- On the Geometric Structure of Spatio-temporal Patterns.- Learning Geometric Transformations with Clifford Neurons.- Hurwitzion Algebra and its Application to the FFT Synthesis.- Diffusion–Snakes Using Statistical Shape Knowledge.- The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra.- Sparse Feature Maps in a Scale Hierarchy.- Estimation and Tracking of Articulated Motion Using Geometric Algebra.- Geometric Properties of Central Catadioptric Projections.- Lie-Theory and Dynamical Illumination Changes.- A Group Theoretical Formalization of Contact Motion.- Periodic Pattern Analysis under Affine Distortions Using Wallpaper Groups.- Wavelet Filter Design via Linear Independent Basic Filters.- Lie Group Modeling of Nonlinear Point Set Shape Variability.- Symmetries in World Geometry and Adaptive System Behaviour.- Pose Estimation in the Language of Kinematics.- Algebraic Frames for Commutative Hyperharmonic Analysis of Signals and Images.- Gabor-Space Geodesic Active Contours.- Color Image Enhancement by a Forward-and-Backward Adaptive Beltrami Flow.- Point–Based Registration Assuming Affine Motion.- Extended Kalman Filter Design for Motion Estimation by Point and Line Observations.