System and method for quantifying the quality of motion...

Data processing: measuring – calibrating – or testing – Measurement system – Performance or efficiency evaluation

Reexamination Certificate

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Reexamination Certificate

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11328909

ABSTRACT:
A method of evaluating the quality of a deformation field includes providing a deformation field from a first domain to a second domain, where a deformation field Φ=(φx,φy,φz) that transforms a point (x,y,z) in the first domain to a point (X,Y,Z) in the second domain is defined by{X=ϕx⁡(x,y,z)=x+ux⁡(x,y,z)Y=ϕy⁡(x,y,z)=y+uy⁡(x,y,z)Z=ϕz⁡(x,y,z)=z+uz⁡(x,y,z),where ux, uy, uzare displacement fields, and calculating a quality factor as a function of the of the displacement fields and the Jacobian matrix DΦ(x,y,z) of the deformation fields. The quality factor is a measure of the quality of said deformation field.

REFERENCES:
patent: 6611615 (2003-08-01), Christensen
patent: WO 2004/051571 (2004-06-01), None
Modersitzki, “Numerical Methods for Image Registration”, 2004, Oxford University Press, pp. 121-129.
“Numerical Methods for Image Registration”, Modersitzki, 2004, Oxford University Press, pp. 121-129.
“Consistent Image Registration”, Christensen et al., IEEE Trans. on Medical Imaging, vol. 20, No. 7, Jul. 2001, pp. 568-582.
“Topology Preserving Deformable Image Matching Using Constrained Hierarchical Parametric Models”, Musse et al., IEEE Trans on Image Proc., vol. 10, No. 7, Apr. 2001, pp. 1081-1093.
“Volume-Preserving Nonrigid Registration of MR Breast Images Using Free-Form Deformation with an Incompressibility Constraint”, Rohlfing et al., IEEE Transactions on Medical Imaging, vol. 22, No. 6, Jun. 2003, pp. 730-741.
International Search Report including Notification of Transmittal of the International Search Report, International Search Report and Written Opinion of the International Searching Authority, PCT Appln. No. PCT/US2006/001531, mailed Sep. 8, 2006.

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