The problem of recognizing planar images in two-dimensional (2D) space
has remained a problem of significant interest in computer vision for
the last three decades. The Generalized Hough Transform has emerged a
s one of the more promising techniques because of its robustness to in
complete data and additive noise. However, the Generalized Hough trans
form is not well suited for similarity transformation because the para
meters of scale and rotation cannot be solved using unary tangent info
rmation. In this paper, a new technique is introduced which uses a sim
ple transformation of pairwise tangent information to allow for the di
rect computation of the parameters of scale and rotation and thus a mo
re precise estimate of the translation parameters. This method shares
many of the same advantages of the Generalized Hough Transform, while
performing with greater efficiency and accuracy. This technique is app
lied to a database of objects, where the test object is a composite of
model instances, having undergone similarity transformation, and in t
he presence of both noise and occlusion. The results are compared with
that of the Generalized Hough Transform, and a critical analysis of t
he two methods is presented.