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International Orthopaedics
Published in: International Orthopaedics 8/2018

01-08-2018 | Original Paper

Three-dimensional orientation and location-dependent varying rules of radiographic angles of the acetabular cup

Authors: Jing-Xin Zhao, Xiu-Yun Su, Zhe Zhao, Ruo-Xiu Xiao, Li-Cheng Zhang, Pei-Fu Tang

Published in: International Orthopaedics | Issue 8/2018

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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.
Appendix
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Metadata
Title
Three-dimensional orientation and location-dependent varying rules of radiographic angles of the acetabular cup
Authors
Jing-Xin Zhao
Xiu-Yun Su
Zhe Zhao
Ruo-Xiu Xiao
Li-Cheng Zhang
Pei-Fu Tang
Publication date
01-08-2018
Publisher
Springer Berlin Heidelberg
Published in
International Orthopaedics / Issue 8/2018
Print ISSN: 0341-2695
Electronic ISSN: 1432-5195
DOI
https://doi.org/10.1007/s00264-018-3809-y

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