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Determination of three‐dimensional structure in biplane radiography without prior knowledge of the relationship between the two views: Theory
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1989
Year
The paper presents a theoretical description of the method, including techniques to mitigate experimental and numerical errors. The study introduces a novel method to determine 3‑D object structure from two projection images taken at arbitrary, unknown orientations. The method uses the image coordinates of at least eight identifiable points in both views to compute the relative geometry of the projections, then derives the 3‑D coordinates of those points up to a scale factor, and finally discusses how to recover the absolute scale with minimal prior system information.
A novel method allows the determination of three‐dimensional object structure from two projection images that are obtained at arbitrary, unknown orientations. Only minimal prior information concerning the imaging system is required. First, the image coordinates of eight or more object points that can be identified unambiguously in both views are used to determine the relative geometry of the two projections. Subsequently, the three‐dimensional coordinates of the identified object points are determined, to within a scale factor, from the image coordinates of the points and the calculated imaging system geometry. A theoretical description of the overall method is provided, along with techniques for the reduction of effects of experimental errors and numerical errors thay may arise in the course of the calculations. Methods to retrieve the absolute scale of the object are discussed also.