01341nas a2200169   4500008004100000020002300041022001500064245006600079210006600145260004100211300001400252520074100266100001901007700001701026700002201043856010601065       2008                        eng d  a978-1-4244-1483-3   a1520-6149 00aParametric estimation of affine deformations of binary images0 aParametric estimation of affine deformations of binary images  aLas Vegas, NV, USAbIEEEcMarch 2008  a889 - 8923 a<p>We consider the problem of planar object registration on binary images where the aligning transformation is restricted to the group of affine transformations. Previous approaches usually require established correspondences or the solution of nonlinear optimization problems. Herein we show that it is possible to formulate the problem as the solution of a system of up to third order polynomial equations. These equations are constructed in a simple way using some basic geometric information of binary images. It does not need established correspondences nor the solution of complex optimization problems. The resulting algorithm is fast and provides a direct solution regardless of the magnitude of transformation. ©2008 IEEE.</p>1 aDomokos, Csaba1 aKato, Zoltan1 aFrancos, Joseph M  uhttps://www.inf.u-szeged.hu/publication/parametric-estimation-of-affine-deformations-of-binary-images