Algebraic Frames for the Perception-Action Cycle: Second International Workshop, AFPAC 2000, Kiel, Germany, September 10-11, 2000 Proceedings

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Springer Science & Business Media, Sep 1, 2000 - Computers - 348 pages
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This volume presents the proceedings of the 2nd International Workshop on - gebraic Frames for the Perception and Action Cycle. AFPAC 2000. held in Kiel, Germany, 10–11 September 2000. The presented topics cover new results in the conceptualization, design, and implementation of visual sensor-based robotics and autonomous systems. Special emphasis is placed on the role of algebraic modelling in the relevant disciplines, such as robotics, computer vision, theory of multidimensional signals, and neural computation. The aims of the workshop are twofold: ?rst, discussion of the impact of algebraic embedding of the task at hand on the emergence of new qualities of modelling and second, facing the strong relations between dominant geometric problems and algebraic modelling. The ?rst workshop in this series, AFPAC’97. inspired several groups to i- tiate new research programs, or to intensify ongoing research work in this ?eld, and the range of relevant topics was consequently broadened, The approach adopted by this workshop does not necessarily ?t the mainstream of worldwide research-granting policy. However, its search for fundamental problems in our ?eld may very well lead to new results in the relevant disciplines and contribute to their integration in studies of the perception–action cycle.
 

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Contents

Analyzing Action Representations
1
The Systems Theory of Contact
22
An Associative PerceptionAction Structure Using a Localized Space Variant Information Representation
48
The Structure of Colorimetry
69
Fast Calculation Algorithms of Invariants for Color and Multispectral Image Recognition
78
Tracking Analysis and Inverse Kinematics
104
The Lie Model for Euclidean Geometry
115
On the Geometric Structure of Spatiotemporal Patterns
134
LieTheory and Dynamical Illumination Changes
218
A Group Theoretical Formalization of Contact Motion
229
Periodic Pattern Analysis under Affine Distortions Using Wallpaper Groups
241
Wavelet Filter Design via Linear Independent Basic Filters
251
Lie Group Modeling of Nonlinear Point Set Shape Variability
259
Symmetries in World Geometry and Adaptive System Behaviour
269
Pose Estimation in the Language of Kinematics
284
Algebraic Frames for Commutative Hyperharmonic Analysis of Signals and Images
294

Learning Geometric Transformations with Clifford Neurons
144
Hurwitzion Algebra and its Application to the FFT Synthesis
154
DiffusionSnakes Using Statistical Shape Knowledge
164
The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra
175
Sparse Feature Maps in a Scale Hierarchy
186
Estimation and Tracking of Articulated Motion Using Geometric Algebra
197
Geometric Properties of Central Catadioptric Projections
208
GaborSpace Geodesic Active Contours
309
Color Image Enhancement by a ForwardandBackward Adaptive Beltrami Flow
319
PointBased Registration Assuming Affine Motion
329
Extended Kalman Filter Design for Motion Estimation by Point and Line Observations
339
Author Index
349
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