Algebraic Frames for the Perception-Action Cycle

1. Front Matter

   PDF

2. Analyzing Action Representations

   • Y. Aloimonos, C. Fermüller

   Pages 1-21

3. The Systems Theory of Contact

   • Leo Dorst, Rein van den Boomgaard

   Pages 22-47

4. An Associative Perception-Action Structure Using a Localized Space Variant Information Representation

   • Gösta H. Granlund

   Pages 48-68

5. The Structure of Colorimetry

   • Jan J. Koenderink, Andrea J. van Doorn

   Pages 69-77

6. Fast Calculation Algorithms of Invariants for Color and Multispectral Image Recognition

   • Valeri Labunets, Ekaterina Labunets-Rundblad, Jaakko Astola

   Pages 78-103

7. Modelling Motion: Tracking, Analysis and Inverse Kinematics

   • Joan Lasenby, Sahan Gamage, Maurice Ringer

   Pages 104-114

8. The Lie Model for Euclidean Geometry

   • Hongbo Li

   Pages 115-133

9. On the Geometric Structure of Spatio-temporal Patterns

   • Erhardt Barth, Mario Ferraro

   Pages 134-143

10. Learning Geometric Transformations with Clifford Neurons

    • Sven Buchholz, Gerald Sommer

    Pages 144-153

11. Hurwitzion Algebra and its Application to the FFT Synthesis

    • Vladimir M. Chernov

    Pages 154-163

12. Diffusion–Snakes Using Statistical Shape Knowledge

    • Daniel Cremers, Christoph Schnörr, Joachim Weickert, Christian Schellewald

    Pages 164-174

13. The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra

    • Michael Felsberg, Gerald Sommer

    Pages 175-185

14. Sparse Feature Maps in a Scale Hierarchy

    • Per-Erik Forssén, Gösta Granlund

    Pages 186-196

15. Estimation and Tracking of Articulated Motion Using Geometric Algebra

    • Hiniduam Udugama Gamage Sahan Sajeewa, Joan Lasenby

    Pages 197-207

16. Geometric Properties of Central Catadioptric Projections

    • Christopher Geyer, Kostas Daniilidis

    Pages 208-217

17. Lie-Theory and Dynamical Illumination Changes

    • Reiner Lenz

    Pages 218-228

18. A Group Theoretical Formalization of Contact Motion

    • Yanxi Liu

    Pages 229-240

19. Periodic Pattern Analysis under Affine Distortions Using Wallpaper Groups

    • Yanxi Liu, Robert T. Collins

    Pages 241-250

20. Wavelet Filter Design via Linear Independent Basic Filters

    • Kai Neckels

    Pages 251-258

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.

• Algebraic Modeling
• Algebraic Transformations
• Autonomous Systems
• Computer Vision
• Cyc
• Frames
• Neuro Computation
• Robot Navigation
• Robot Perception
• Sensor-Based Robotics
• Signal Processing
• modeling

• Institute of Computer Science, Christian-Albrecht-University, Kiel, Germany

  Gerald Sommer

• Department of Electrical Engineering, Technion - Israel Institute of Technology, Haifa, Israel

  Yehoshua Y. Zeevi

Policies and ethics