Geometric Reasoning for Perception and Action [electronic resource] : Workshop Grenoble, France, September 16–17, 1991 Selected Papers / edited by Christian Laugier.

Shortest paths of bounded curvature in the plane -- Kinodynamic planning in a structured and time-varying workspace -- Motion planning for a non-holonomic mobile robot on 3-dimensional terrains -- Optimal motion planning of a mobile robot on a triangulated terrain model -- Landmark-based robot motion planning -- Using genetic algorithms for robot motion planning -- Fast mobile robots in unstructured environments -- A new approach to visual servoing in robotics -- Geometric solutions to some 3D vision problems -- Geometrical representation of shapes and objects for visual perception -- Perceptual grouping for scene interpretation in an active vision system -- Incremental free-space modelling from uncertain data by an autonomous mobile robot -- Matching 3-D smooth surfaces with their 2-D projections using 3-D distance maps -- A new physically based model for efficient tracking and analysis of deformations -- From splines and snakes to snake splines.

Geometry is a powerful tool to solve a great number of problems in robotics and computer vision. Impressive results have been obtained in these fields in the last decade. It is a new challenge to solve problems of the actual world which require the ability to reason about uncertainty and complex motion constraints by combining geometric, kinematic, and dynamic characteristics. A necessary step is to develop appropriate geometric reasoning techniques with reasonable computational complexity. This volume is based on a workshop held in Grenoble, France,in September 1991. It contains selected contributions on several important areas in the field of robotics and computer vision. The four chapters cover the following areas: - motion planning with kinematic and dynamic constraints, - motion planning and control in the presence of uncertainty, - geometric problems related to visual perception, -numerical problems linked to the implementation of practical algorithms for visual perception.