Paper Info
Title
A model of the effect of image motion in the Radon transform domain.
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.
Year
DOI
Venue
1999
10.1109/83.784439
IEEE Transactions on Image Processing
Keywords
Field
DocType
fundamental property,radon transform,index terms— affine motion,projection,apparent projected motion,translational motion,image result,affine motion,general type,image domain,image motion,general case,forward model,optical flow,shift property.,present illustrative example,indexing terms,image reconstruction,image processing,inverse problems,helium,inverse problem,image registration,vectors,motion estimation
Computer vision,Motion field,Image motion,Radon,Image processing,Artificial intelligence,Inverse problem,Motion estimation,Optical flow,Radon transform,Mathematics
Journal
Volume
Issue
ISSN
8
9
1057-7149
Citations 
PageRank 
References 
23
1.73
10
Authors
1
Name
Order
Citations
PageRank
Peyman Milanfar170052.20