Linear Transformation Recognition Using Radon Transform

  • Fawaz Hjouj Department of Mathematics, East Carolina University, Greenville, NC 27858-4353, USA

Abstract

Given two regular functions (images) f and g on R2 where g is formed from f by a general linear transformation, g(x) = f (Ax + b). We present a procedure to determine the transformation ‘parameters’ A and b using Radon projections of f and only two projections of g. We use these projections together with simple facts on matrix vector multiplication to recover the matrix A. The assumptions we have here are: f is nonnegative and A is nonsingular. Commonly used transformations in image processing such as rotation, scaling and others are special cases of our approach.

Published
2017-06-10
Section
Articles