A SHAPE METRIC FOR 3-D OBJECTS

This paper examines the problem of constructing a similarity measure b etween shapes of 3-D objects. For this purpose a shape distance betwee n 3-D objects is defined on the basis of certain characteristic planes of the objects. These planes normalize the orientation of the objects . After normalizing the position, size (which are straightforward) and orientation the shape distance is defined on the basis of the volume of mismatch between the two objects. A novel property of this distance is that it has a closed from solution and has all the metric properti es.