Patents by Inventor Vitali Selivanov

Vitali Selivanov has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Image reconstruction methods based on block circulant system matrices
    Patent number: 7983465
    Abstract: An iterative image reconstruction method used with an imaging system that generates projection data, the method comprises: collecting the projection data; choosing a polar or cylindrical image definition comprising a polar or cylindrical grid representation and a number of basis functions positioned according to the polar or cylindrical grid so that the number of basis functions at different radius positions of the polar or cylindrical image grid is a factor of a number of in-plane symmetries between lines of response along which the projection data are measured by the imaging system; obtaining a system probability matrix that relates each of the projection data to each basis function of the polar or cylindrical image definition; restructuring the system probability matrix into a block circulant matrix and converting the system probability matrix in the Fourier domain; storing the projection data into a measurement data vector; providing an initial polar or cylindrical image estimate; for each iteration; reca
    Type: Grant
    Filed: May 9, 2008
    Date of Patent: July 19, 2011
    Assignee: Société De Commercialisation Des Produits De La Recherche Appliquée - Socpra Sciences Santé Et Humaines, S.E.C.
    Inventors: Jean-Daniel Leroux, Rèjean Fontaine, Roger Lecomte, Vitali Selivanov
  • Image Reconstruction Methods Based on Block Circulant System Matrices
    Publication number: 20090123048
    Abstract: An iterative image reconstruction method used with an imaging system that generates projection data, the method comprises: collecting the projection data; choosing a polar or cylindrical image definition comprising a polar or cylindrical grid representation and a number of basis functions positioned according to the polar or cylindrical grid so that the number of basis functions at different radius positions of the polar or cylindrical image grid is a factor of a number of in-plane symmetries between lines of response along which the projection data are measured by the imaging system; obtaining a system probability matrix that relates each of the projection data to each basis function of the polar or cylindrical image definition; restructuring the system probability matrix into a block circulant matrix and converting the system probability matrix in the Fourier domain; storing the projection data into a measurement data vector; providing an initial polar or cylindrical image estimate; for each iteration; reca
    Type: Application
    Filed: May 9, 2008
    Publication date: May 14, 2009
    Inventors: Jean-Daniel Leroux, Rejean Fontaine, Roger Lecomte, Vitali Selivanov