Maruyama Yosuke, Itsukaichi Katsutoshi, Hoshikawa Naoya, Nakagomi Takayuki, Matsuyama Tomohiro, Sasaki Hiroyuki
School of Rehabilitation, Tokyo Professional University of Health Sciences, Tokyo, Japan.
Institute for Advanced Medical Sciences, Hyogo Medical University, Nishinomiya, Hyogo, Japan.
PLoS One. 2025 Feb 6;20(2):e0318556. doi: 10.1371/journal.pone.0318556. eCollection 2025.
The major methods of evaluating the foot arch in clinical practice in patients with foot deformities are medial longitudinal arch measurement using body surface somatometry and radiographic morphometry. Although these methods are widely used, they are considered problematic in terms of differences in scores between the methods. In this study, we developed a new geometric shape analysis method for the bony arrangement of the foot using the two-dimensional fast Fourier transform (2D-FFT), which incorporates mathematical anatomy using x-ray radiographs. Lateral radiographs of the foot bones were obtained using ImageJ2 provided by the National Institutes of Health. The 2D-FFT images show the characteristic directional power spectrum extending from low to high frequencies in the first and third quadrants on the normal, low and high arched foot respectively. The current method of reflecting the bone arrangement status of the metatarsal and tarsal bones may have the potential to establish a new radiographic evaluation method for assessing abnormal foot-bone alignment. As a result, the foot bone 2D-FFT method can be useful in assessing the medial longitudinal arch and predicting the prognosis of these patients.
临床实践中评估足部畸形患者足弓的主要方法是使用体表测量法和影像学形态测量法测量内侧纵弓。尽管这些方法被广泛使用，但就方法之间的评分差异而言，它们被认为存在问题。在本研究中，我们开发了一种新的几何形状分析方法，用于利用二维快速傅里叶变换（2D-FFT）对足部骨骼排列进行分析，该方法结合了使用X线平片的数学解剖学。使用美国国立卫生研究院提供的ImageJ2获取足部骨骼的侧位X线片。2D-FFT图像分别显示了正常足、扁平足和高弓足在第一象限和第三象限从低频到高频延伸的特征性方向功率谱。目前反映跖骨和跗骨骨骼排列状态的方法可能有潜力建立一种新的影像学评估方法，用于评估足部骨骼排列异常。因此，足部骨骼2D-FFT方法在评估内侧纵弓和预测这些患者的预后方面可能有用。
