基于透视投影与可微椭圆拟合，精准估算髋关节假体位置姿态。
2D/3D Registration of Acetabular Hip Implants Under Perspective Projection and Fully Differentiable Ellipse Fitting
- 构建透视投影前向模型，结合可微椭圆拟合优化估计精度。
- 在模拟与数字重建影像中实现高精度定位，误差极小。
- 适合临床术中导航与手术规划，计算效率高。
本文提出一种新方法，利用全前后位髋关节透视图像估计人工髋臼假体的位姿。该方法考虑了荧光透视几何引起的畸变，通过建立透视投影前向模型，并采用可微椭圆拟合来衡量估计结果与真实值之间的相似性，从而精确估计假体的旋转（前倾角、倾斜角）和平移。实验在数值模拟与数字重建射线图环境中均验证了方法的高精度与低计算开销，显著提升了临床与手术场景中的应用价值。
原文摘要 · Abstract (English)
This paper presents a novel method for estimating the orientation and the position of acetabular hip implants in total hip arthroplasty using full anterior-posterior hip fluoroscopy images. Our method accounts for distortions induced in the fluoroscope geometry, estimating acetabular component pose by creating a forward model of the perspective projection and implementing differentiable ellipse fitting for the similarity of our estimation from the ground truth. This approach enables precise estimation of the implant's rotation (anteversion, inclination) and the translation under the fluoroscope induced deformation. Experimental results from both numerically simulated and digitally reconstructed radiograph environments demonstrate high accuracy with minimal computational demands, offering enhanced precision and applicability in clinical and surgical settings.
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