Analýza parametrů transformací mezi obrazy pomocí fázové korelace

Abstract

This thesis explores the application of phase correlation for estimating mutual rotation, scale changes, and translation between digital images. Since phase correlation relies on the Fourier transform, the thesis provides an overview of the Fourier transform for functions defined on R^2 and the discrete Fourier transform for functions defined on a finite grid {0,1,...,N-1}^2. It examines modifications to the phase correlation technique for estimating similarity transformation parameters between images and those captured using different sensors and optical systems.This thesis explores the application of phase correlation for estimating mutual rotation, scale changes, and translation between digital images. Since phase correlation relies on the Fourier transform, the thesis provides an overview of the Fourier transform for functions defined on R^2 and the discrete Fourier transform for functions defined on a finite grid {0,1,...,N-1}^2. It examines modifications to the phase correlation technique for estimating similarity transformation parameters between images and those captured using different sensors and optical systems.