AI Article Synopsis

  • The study aims to illustrate how varying 3D orientations of a cup affect radiographic angles using a mathematical model.
  • A cone model is used to analyze the relationship between the cup's opening circle and its projection on radiographs, allowing for the assessment of 2D radiographic anteversion (RA) and inclination (RI) angles.
  • Results show that 2D RA angles can equal their 3D counterparts only under specific conditions, while 2D RI angles are generally larger; the study offers insights that could help clinicians understand the discrepancies between 2D and 3D angles after surgery.

Article Abstract

Aim: The aim of this study is to demonstrate the varying rules of radiographic angles following varying three-dimensional (3D) orientations and locations of cup using an accurate mathematical model.

Methods: A cone model is established to address the quantitative relationship between the opening circle of cup and its ellipse projection on radiograph. The varying rules of two-dimensional (2D) radiographic anteversion (RA) and inclination (RI) angles can be analyzed.

Results: When the centre of cup is located above X-ray source, with proper 3D RI/RA angles, 2D RA angle can be equal to its 3D counterpart, and 2D RI angle is usually greater than its 3D counterpart. Except for the original point on hip-centered anterior-posterior radiograph, there is no area on radiograph where both 2D RA and RI angles are equal to their 3D counterparts simultaneously.

Discussion: This study proposes an innovative model for accurately explaining how 2D RA/RI angles of cup are varying following different 3D RA/RI angles and location of cup. The analysis results provide clinicians an intuitive grasp of knowledge about 2D RA/RI angles greater or smaller than their 3D counterparts post-operatively. The established model may allow determining the effects of pelvic rotations on 2D radiographic angles of cup.

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Source
http://dx.doi.org/10.1007/s00264-018-3809-yDOI Listing

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