Applied Mechanics Commons^™

A Closed-Form Solution For The Similarity Transformation Parameters Of Two Planar Point Sets, Shamsul A. Shamsudin, Andrew P. Murray

Andrew P. Murray

Image registration covers the set of techniques used in matching images of the same scene. A subset of the image registration problem, identifying the parameters in a similarity transformation, has emerged as useful in a recently defined area of machine design: designing mechanisms for rigidbody shape-change. First, this brief paper shows a potential use for image registration techniques outside the field of machine vision. Second, it presents a closed-form solution for the similarity transformation parameters when the point sets to be matched are restricted to two-dimensional space as is needed in the aforementioned design problem.