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.
Author(s): Y. Aloimonos, C. Fermüller (auth.), Gerald Sommer, Yehoshua Y. Zeevi (eds.)
Series: Lecture Notes in Computer Science 1888
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2000
Language: English
Pages: 349
Tags: Image Processing and Computer Vision; Computer Graphics; Artificial Intelligence (incl. Robotics); Simulation and Modeling; Control, Robotics, Mechatronics
Front Matter....Pages -
Analyzing Action Representations....Pages 1-21
The Systems Theory of Contact....Pages 22-47
An Associative Perception-Action Structure Using a Localized Space Variant Information Representation....Pages 48-68
The Structure of Colorimetry....Pages 69-77
Fast Calculation Algorithms of Invariants for Color and Multispectral Image Recognition....Pages 78-103
Modelling Motion: Tracking, Analysis and Inverse Kinematics....Pages 104-114
The Lie Model for Euclidean Geometry....Pages 115-133
On the Geometric Structure of Spatio-temporal Patterns....Pages 134-143
Learning Geometric Transformations with Clifford Neurons....Pages 144-153
Hurwitzion Algebra and its Application to the FFT Synthesis....Pages 154-163
Diffusion–Snakes Using Statistical Shape Knowledge....Pages 164-174
The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra....Pages 175-185
Sparse Feature Maps in a Scale Hierarchy....Pages 186-196
Estimation and Tracking of Articulated Motion Using Geometric Algebra....Pages 197-207
Geometric Properties of Central Catadioptric Projections....Pages 208-217
Lie-Theory and Dynamical Illumination Changes....Pages 218-228
A Group Theoretical Formalization of Contact Motion....Pages 229-240
Periodic Pattern Analysis under Affine Distortions Using Wallpaper Groups....Pages 241-250
Wavelet Filter Design via Linear Independent Basic Filters....Pages 251-258
Lie Group Modeling of Nonlinear Point Set Shape Variability....Pages 259-268
Symmetries in World Geometry and Adaptive System Behaviour....Pages 269-283
Pose Estimation in the Language of Kinematics....Pages 284-293
Algebraic Frames for Commutative Hyperharmonic Analysis of Signals and Images....Pages 294-308
Gabor-Space Geodesic Active Contours....Pages 309-318
Color Image Enhancement by a Forward-and-Backward Adaptive Beltrami Flow....Pages 319-328
Point–Based Registration Assuming Affine Motion....Pages 329-338
Extended Kalman Filter Design for Motion Estimation by Point and Line Observations....Pages 339-348
Back Matter....Pages -
