A method of optimum transformation of 3D objects used as a measure of shape dissimilarity

In this work, we present a method which transforms an object into another. The computation of this transformation is used as a measure of shape-of-object dissimilarity. The considered objects are composed of voxels. Thus, the shape difference of two objects can be ascertained by counting how many voxels we have to move and how far to change one object into another. This work is based on the method presented in [Pattern Recognition 29 (1996) 1117], and our contributions to such a work are a method of optimum transformation of objects and a proposed method of principal axes, which is used to orientate objects. The proposed method is applied to global data. Finally, we present some results using objects of the real world. q 2003 Elsevier B.V. All rights reserved.