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Updated: May 28, 2026
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Geometry of coplanar stereoscopic radiographic pairs for analysis of the lateral cervical radiograph: a study using
Objective:
This study evaluated 3-dimensional (3D) assessments of points of interest on a phantom replica of the human skull and cervical vertebrae to better understand how structures are represented in space using mathematical methods.
Methods:
Three basic geometric equations derived from the "Law of Similar Triangles" are introduced, and measurements are taken after 4 trials to demonstrate how 3D data extracted from 2-dimensional (2D) digitized radiographic pairs can be used to produce coordinate points associated with 3 areas on the atlas.
Results:
An analysis of variance test for multiple group comparison shows no significant statistical difference between 4 trials (P = 0.995). In addition, 6 strong positive correlations are evident using Pearson product-moment coefficient test (r = 0.9008 through 0.9977, P = 0.002).
Conclusion:
This study suggests that it is possible to use coplanar stereoscopic radiographic pairs to define an object's location in 3D space by taking retrospective measurements directly from 2D digitized radiographs.
