Affine matching of two sets of points in arbitrary dimensions

 Attila Tanács  1 - Gábor Czédli  2 - Kálmán Palágyi 3 - Attila Kuba 4

Abstract:

 In many applications of computer vision, image processing, and remotely sensed data processing, an appropriate matching of two sets of points is required. Our approach assumes one-to-one correspondence between these sets and finds the optimal global affine transformation that matches them. The suggested method can be used in arbitrary dimensions. A sufficient existence condition for a unique transformation is given and proven.

Footnotes

    1 Department of Applied Informatics, University of Szeged, H-6701 Szeged P.O.Box 652, Hungary, e-mail: tanacs@inf.u-szeged.hu 2 Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1, Hungary, e-mail: czedli@math.u-szeged.hu 3 Department of Applied Informatics, University of Szeged, H-6701 Szeged P.O.Box 652, Hungary, e-mail: palagyi@inf.u-szeged.hu 4 Department of Applied Informatics, University of Szeged, H-6701 Szeged P.O.Box 652, Hungary, e-mail: kuba@inf.u-szeged.hu