Geometric Error Correction in Coordinate Measurement

Software compensation of geometric errors in coordinate measuring is hot subject because it results the decrease of manufacturing costs. The paper gives a summary of the results and achievements of earlier works on the subject. In order to improve these results a method is adapted to capture simultaneously the new coordinate frames in order use exact transformation values at discrete points of the measuring volume. The interpolation techniques used have the draw back that they could not maintain the orthogonality of the rotational part of the transformation matrices. The paper gives a technique based quaternions which avoid this problem and leads to better results.