This thesis is concerned with spatial aspects of perception and action in a simple robot. To this end, the problem of designing a robot-controller for a robot in a simulated robot-envoronment system is considered. The environment is two-dimentional tabletop with movable polygonal shapes on it. The robot has an eye which `sees' an area of the tabletop centred on itself, with a resolution which decreases from the centre to the periphery. Algorithms are presented for simulating the motion and collision of two dimentional shapes in this environment. These algorithms use representations of shape both as a sequence of boundary points and as a region in digital image. A method is outlined for constructing and updating the world model of the robot as new visual input is received from the eye. It is proposed that, in the world model, the spacial problems of path-finding and object-moving be based on algorithms that find the skeleton of the shape of empty space and of the shape of the moved object. A new iterative algorithm for finding the skeleton, with the property tbat the skeleton of a connected shape is connected, is presented. This is applied to path-finding and simple object-moving problems. Finally, directions for future work are outlined.
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