Recovering the viewing parameters of random, translated and noisy projections of asymmetric objects

A method is described for the determination of the viewing parameters of randomly acquired projections of asymmetric objects. It extends upon the common lines algorithm by determining the relative orientation of projections from the location of lines of intersection among the Fourier transforms of t...

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Bibliographic Details
Published inProceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition pp. 885 - 890
Main Authors Lauren, P.D., Nandhakumar, N.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1996
Subjects
Cybernetics
Fourier transforms
Image reconstruction
In vivo
Layout
Positron emission tomography
Random media
Silver
Springs
Viruses (medical)
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Summary:A method is described for the determination of the viewing parameters of randomly acquired projections of asymmetric objects. It extends upon the common lines algorithm by determining the relative orientation of projections from the location of lines of intersection among the Fourier transforms of the projections in three-dimensional Fourier space. A new technique for finding the lines of intersection in the presence of translational displacement, and for subsequently finding the translational displacement, is presented. A new technique for dealing with noise is also presented. The complete algorithm is described and its efficacy is demonstrated using real data. This technique may be applied to the three-dimensional reconstruction of viruses, molecules, and cells from in vivo images. It also has many other applications including the reconstruction of underwater scenes, radioastronomy, geoseismic analysis, and portable radiography for medical diagnosis and industrial inspection.
ISBN:9780818672590
0818672595
ISSN:1063-6919
DOI:10.1109/CVPR.1996.517176