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Two‐radiograph reconstruction using six geometrical solution sets and least‐squares method
Author(s) -
Tabushi Katsuyoshi,
Itoh Susumu,
Sakura Mizuyoshi,
KutsutaniNakamura Yuzuru,
Iinuma Takeshi A.,
Arai Tatsuo,
Irifune Toraji
Publication year - 1992
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.596923
Subject(s) - radiography , position (finance) , context (archaeology) , least squares function approximation , mathematics , iterative reconstruction , point (geometry) , total least squares , algorithm , computer science , computer vision , geometry , statistics , medicine , radiology , paleontology , finance , estimator , biology , economics , singular value decomposition
When two radiographic projections are available for reconstruction, it was found that six different combinations of equations could be used to obtain the geometrical solutions for the position of any point. No errors in the image coordinates read from the radiographs resulted in identical solutions for the six equations. Inaccuracies or errors present in the image coordinates generated differences among the six solutions. In this case, a least‐squares method could be used to determine the optimum position. The utility of such a least‐squares optimizing approach is presented in the context of a clinical example.