Regions of the Accepted Tolerance for the Recognition of Binary Imprints in Robotics

The tactile matrix sensors often generate the binary imprints of the explored shapes in robotics. For the shape recognition, their vectors of the characteristic features define both the prototypes and the unknown shapes. The similarity between two shapes is estimated with different distances. The paper recommends the reference distances and defines the regions of the accepted tolerance, associated with a prototype. The shapes of these regions in the ( 2 1 p , p ) parameter plane and ( 3 2 1 p , p , p ) parameter space are presented and analyzed for various distances. Key-Words: recognition, binary imprint, parameter, prototype, region of the accepted tolerance, distance.