Recently, a new image registration method, based on the Hausdorff fraction
and a multi-resolution search of the transformation space, has been develop
ed in the literature. This method has been applied to problems involving tr
anslations, translation and scale, and affine transformations. In this pape
r, we adapt the above method to the set of similarity transformations. We a
lso introduce a new variant of the Hausdorff fraction similarity measure ba
sed on a multi-class approach, which we call the multi-class Hausdorff frac
tion (MCHF). The multi-class approach is more efficient because it matches
feature points only if they are from the same class. To validate our approa
ch, we segment edge maps into two classes which are the class of straight l
ines and the class of curves, and we apply the new multi-class approach to
two image registration examples, using synthetic and real images, respectiv
ely. Experimental results show that the multi-class approach speeds up the
multi-resolution search algorithm. (C) 2002 Elsevier Science B.V. All right
s reserved.