Analysis of tolerance for manufacturing geometric objects from sense data

In this work we address the problem of manufacturing machine parts from sense data. Constructing geometric models for the objects from sense data is the intermediate step in a reverse engineering manufacturing system. Sensors are usually inaccurate, providing uncertain sense information. We construct geometric entities with uncertainty models for the objects under consideration from noisy measurements and proceed to do reasoning on the uncertain geometries, thus, adding robustness to the construction of geometries from sensed data.