A model of the effect of image motion in the Radon transform domain

Author

Milanfar, Peyman

Author_Institution

Dept. of Electr. Eng., California Univ., Santa Cruz, CA, USA

Volume

8

Issue

9

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

1276

Lastpage

1281

Abstract

One of the most fundamental properties of the Radon (projection) transform is that shifting of the image results in shifted projections. This useful property relates translational motion in the image to simple displacement in the projections. It is far from clear, however, how more general types of motion in the image domain will be manifested in the projections. In this paper, we present a model for this phenomenon in the general case; namely, we develop a generalization of the shift property of the Radon transform. We study various properties of the apparent projected motion implied by the model, and study the case of affine motion in particular. We also present illustrative examples, and briefly discuss the inverse problem implied by the forward model developed herein, along with some possible applications

Keywords

Radon transforms; image motion analysis; image sequences; inverse problems; Radon transform domain; affine motion; apparent projected motion; forward mode; image domain; image motion; inverse problem; projection transform; shift property; translational motion; Helium; Image motion analysis; Image processing; Image reconstruction; Image registration; Inverse problems; Motion estimation; Vectors; Video sequences; X-ray tomography;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.784439

Filename

784439