Signal Processing Laboratory, Federal University of Uberlândia, Av. João Naves de Avila, 2121, Bloco 3N. Uberlândia 38.400-902, Brazil.
Faculty of Electrical Engineering, Federal University of Uberlândia, Major Jerônimo, 566, Patos de Minas 38.700-002, Brazil.
Comput Methods Programs Biomed. 2018 Jul;161:85-92. doi: 10.1016/j.cmpb.2018.04.015. Epub 2018 Apr 21.
Several studies have evaluated the reproducibility of the Cobb angle for measuring the degree of scoliotic deformities from X-ray spine images, and proposed different geometric models for describing the spinal curvature. The ellipse was shown to be an adequate geometric form, but was not yet applied for the identification and quantification of scoliotic curvatures. The purpose of this study is therefore to propose and validate a novel computerized methodology for the detection of elliptical patterns from X-ray images to evaluate the extent of the underlying scoliotic deformity.
For anteroposterior each X-ray spine image, the spine curve is first reconstructed from vertebral centroids. The ellipse that best fits to the obtained spine curve is the found within a least square and genetic algorithm optimization framework. The geometric parameters of the resulting best fit ellipse are finally used to define an index that quantifies the spinal curvature.
The proposed methodology was validated on three synthetic images and then successfully applied to 20 clinical anteroposterior X-ray spine images of patients with a different degree of scoliotic deformity, with the resulting maximal relative error of 3% for the synthetic images and an overall error of 0.5 ± 0.4 mm (mean ± standard deviation) for the clinical cases.
The results indicate that the proposed computerized methodology is able to reliably reproduce scoliotic curvatures using the geometric parameters of the underlying ellipses. In comparison to conventional approaches, the proposed methodology potentially produces less errors, requires a relatively low observer interaction, takes into account all vertebrae within the observed scoliotic deformity, and allows for both qualitative and quantitative evaluations that may complement the diagnosis, study and treatment of scoliosis.
多项研究评估了 Cobb 角在 X 射线脊柱图像上测量脊柱侧弯畸形程度的可重复性,并提出了不同的几何模型来描述脊柱弯曲度。椭圆被证明是一种合适的几何形状,但尚未应用于识别和量化脊柱侧弯的曲率。因此,本研究旨在提出并验证一种从 X 射线图像中检测椭圆模式的新计算机方法,以评估潜在脊柱侧弯畸形的程度。
对于每个 X 射线脊柱图像的前后位,首先从椎体中心点重建脊柱曲线。通过最小二乘和遗传算法优化框架找到最适合获得的脊柱曲线的椭圆。最后,使用所得最佳拟合椭圆的几何参数定义量化脊柱曲率的指数。
该方法在三个合成图像上进行了验证,然后成功应用于 20 例不同程度脊柱侧弯畸形患者的临床前后位 X 射线脊柱图像,合成图像的最大相对误差为 3%,临床病例的总体误差为 0.5±0.4mm(平均值±标准差)。
结果表明,所提出的计算机方法能够使用基础椭圆的几何参数可靠地再现脊柱侧弯的曲率。与传统方法相比,该方法可能产生较小的误差,需要相对较少的观察者交互,考虑到所观察到的脊柱侧弯畸形中的所有椎体,并允许进行定性和定量评估,可能补充脊柱侧弯的诊断、研究和治疗。