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3D Acetabular Surface Reconstruction from 2D Pre-operative X-ray Images using SRVF Elastic Registration and Deformation Graph

Shuai Zhang, Jinliang Wang, Sujith Konandetails, Xu Wang, Danail Stoyanov, Evangelos B. Mazomenos

TL;DR

A novel framework that integrates square-root velocity function (SRVF)-based elastic shape registration technique with an embedded deformation graph approach to reconstruct the 3D articular surface of the acetabulum by fusing multiple views of 2D pre-operative pelvic X-ray images and a hemispherical surface model is proposed.

Abstract

Accurate and reliable selection of the appropriate acetabular cup size is crucial for restoring joint biomechanics in total hip arthroplasty (THA). This paper proposes a novel framework that integrates square-root velocity function (SRVF)-based elastic shape registration technique with an embedded deformation (ED) graph approach to reconstruct the 3D articular surface of the acetabulum by fusing multiple views of 2D pre-operative pelvic X-ray images and a hemispherical surface model. The SRVF-based elastic registration establishes 2D-3D correspondences between the parametric hemispherical model and X-ray images, and the ED framework incorporates the SRVF-derived correspondences as constraints to optimize the 3D acetabular surface reconstruction using nonlinear least-squares optimization. Validations using both simulation and real patient datasets are performed to demonstrate the robustness and the potential clinical value of the proposed algorithm. The reconstruction result can assist surgeons in selecting the correct acetabular cup on the first attempt in primary THA, minimising the need for revision surgery.

3D Acetabular Surface Reconstruction from 2D Pre-operative X-ray Images using SRVF Elastic Registration and Deformation Graph

TL;DR

A novel framework that integrates square-root velocity function (SRVF)-based elastic shape registration technique with an embedded deformation graph approach to reconstruct the 3D articular surface of the acetabulum by fusing multiple views of 2D pre-operative pelvic X-ray images and a hemispherical surface model is proposed.

Abstract

Accurate and reliable selection of the appropriate acetabular cup size is crucial for restoring joint biomechanics in total hip arthroplasty (THA). This paper proposes a novel framework that integrates square-root velocity function (SRVF)-based elastic shape registration technique with an embedded deformation (ED) graph approach to reconstruct the 3D articular surface of the acetabulum by fusing multiple views of 2D pre-operative pelvic X-ray images and a hemispherical surface model. The SRVF-based elastic registration establishes 2D-3D correspondences between the parametric hemispherical model and X-ray images, and the ED framework incorporates the SRVF-derived correspondences as constraints to optimize the 3D acetabular surface reconstruction using nonlinear least-squares optimization. Validations using both simulation and real patient datasets are performed to demonstrate the robustness and the potential clinical value of the proposed algorithm. The reconstruction result can assist surgeons in selecting the correct acetabular cup on the first attempt in primary THA, minimising the need for revision surgery.

Paper Structure

This paper contains 10 sections, 5 equations, 3 figures, 1 table.

Table of Contents

  1. Introduction
  2. Problem Description
  3. Methodology
  4. Preliminaries of Embedded Deformation:
  5. SRVF Based 2D-to-3D Non-rigid Registration:
  6. Reconstruction Formulation and Optimization:
  7. Experiments
  8. Simulated Data Experiments:
  9. Validation using patient data:
  10. Conclusion

Figures (3)

  • Figure 1: Main processes of the proposed acetabular surface reconstruction framework.
  • Figure 2: Reconstruction results from simulation experiments: the 1st, 2nd and 3rd columns show the results for an example at noise level $5$: the standard hemispherical surface model (green) and the CT-segmented acetabular surface model (grey), the comparison between the reconstruction (red) and the CT-segmented acetabular surface model, and the reconstruction error, respectively; the 4th column presents the error distribution for simulated data with the increasing noise levels 1 to 5.
  • Figure 3: Reconstruction result from patient data using three pre-operative X-ray images. Each row shows the experimental result on one patient data. The 1st column shows the hemispherical surface model (green) and CT-segmented pelvis model (grey). The 2nd column shows the reconstruction result (red) compared to the corresponding pelvis model. The 3rd column shows the reconstruction in two different viewing angles. The 4th column shows the reconstruction error. The last three columns show the three pre-operative X-ray images. The projection contours of the input hemispherical model (green) and reconstruction result (blue), and the observation (red) are also presented.