## Algebraic Frames for the Perception-Action Cycle: International Workshop, AFPAC'97, Kiel, Germany, September 8-9, 1997, Proceedings (Google eBook)Gerald Sommer, Jan J. Koenderink The book constitutes the refereed proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle, AFPAC '97, held in Kiel, Germany, in September 1997. The volume presents 12 revised full papers carefully reviewed and selected for inclusion in the book. Also included are 10 full invited papers by leading researchers in the area providing a representative state-of-the-art assessment of this rapidly growing field. The papers are organized in topical sections on PAC systems, low level and early vision, recognition of visual structure, processing of 3D visual space, representation and shape perception, inference and action, and visual and motor neurocomputation. |

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### Contents

1 | |

From Multidimensional Signals to the Generation of Responses | 29 |

Perception and Action Using Multilinear Forms | 54 |

Local Image Operators and Iconic Structure | 66 |

On Automatic Selection of Temporal Scales in TimeCausal ScaleSpace | 94 |

Some Applications of Representations of Lie Algebras and Lie Groups | 114 |

A Systematic Approach to GeometryBased Grouping and Nonaccidentalness | 126 |

MultiDimensional Signal Processing Using an Algebraically Extended Signal Representation | 148 |

A Unified Language for Computer Vision and Robotics | 219 |

Structure from Translational Observer Motion | 235 |

The Geometry of Visual Space Distortion | 249 |

The Cascaded Hough Transform as Support for Grouping and Finding Vanishing Points and Lines | 278 |

Visual Perception Strategies for 3D Reconstruction | 290 |

Statistical Optimization and Geometric Visual Inference | 306 |

Path Prediction and Classification Based on Nonlinear Filtering | 323 |

A Study in Abstraction of GoalDirected Motion | 344 |

On Hestenes Formalization for Describing Linear Image Transforms | 164 |

Fractal Basis Functions for Pattern Recognition | 176 |

The Fundamental Construct of Multipleview Geometry and Its Applications | 190 |

Algebraic and Geometric Tools to Compute Projective and Permutation Invariants | 207 |

Neural Network Approaches for Perception and Action | 356 |

Geometric Neural Networks | 379 |

Author Index | 395 |

### Common terms and phrases

algorithm analysis analytic signal applications approach approximation axis basis functions behavior camera motion Clifford algebra complex Computer Vision configuration consider constraints coordinates corresponding cross ratio curves defined denote depth derivatives dimensional distance distortion domain equation equivalent estimation Figure fixation fixed points fixed structures flow Fourier transform Gabor filter Gaussian geometric algebra global Hough transform IEEE image plane input instantaneous phase intersection iso-distortion surfaces Koenderink Lie group Lindeberg linear lines manifold mapping matching matrix multilinear forms multivector neural networks object observer obtained optimal parameters patterns perception phase position problem Proceedings processing projective invariants properties PSOM quadric quaternionic recognition reconstruction representation represented response robotics rotation scale selection scale-space scene segments signal signal theory space spatial spherical harmonics stereo subspace symmetry tangent task tensor theory tion trilinear two-dimensional vector velocity visual