Paper Info
Title
New formula for image reconstruction from projections by the 2-D paired transformation
Abstract
To solve the problem of image reconstruction from projections, we describe an effective representation of the image by the paired transform which is a frequency and time representation of the image. We present a new effective formula for the inverse 2-D paired transform, which can be used for solving the algebraic system of equations with measurement data for image reconstruction without calculating the Fourier transforms. The image is reconstructed directly from the paired image-signals which can be calculated from projection data. A new concept of direction images is introduced, that define the decomposition of the image by directions. The proposed method of image reconstruction has been implemented and applied for modeled images of sizes up to 256 × 256.
Year
DOI
Venue
2009
10.1109/ICSMC.2009.5346578
SMC
Keywords
Field
DocType
measurement data,projection data,time representation,new formula,algebraic system,effective representation,new effective formula,direction image,image reconstruction,new concept,tensile stress,algebra,time frequency analysis,system of equations,lattices,fourier transform,fourier transforms
Iterative reconstruction,Top-hat transform,Inverse,System of linear equations,Feature detection (computer vision),Computer science,Control theory,Mathematical analysis,Binary image,Algorithm,Fourier transform,Time–frequency analysis
Conference
ISSN
Citations 
PageRank 
1062-922X
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Artyom M. Grigoryan113427.30
Nan Du282.46