We conducted a longitudinal study involving [Formula: see text] patients grouped according to the classification of periodontal diseases agreed in the World Workshop by the different groups of specialists gathered there. We proceed to select images of Cone Beam Computed Tomography (CBCT) that were used to perform a study of bone density through a precise algorithm allowing an accurate calculation of the fractal dimensions of such images. A detailed anthropometric analysis was also carried out. Our objective was to demonstrate that there exists a direct relationship between either the loss of bone or the changes related to its height and diameter and the variations in bone density. Our results highlight significant differences among the initial and moderate periodontal groups with respect to both the control and the periodontal groups, where patients experience a severe and controlled periodontal disease. We conclude that there is a variation in the architecture of patients with periodontal disease that have an acute component and have not been treated or their treatment is not effective and their bone loss does not slow down.

中文翻译：

---

通过分形维数研究牙周病患者的骨密度

我们进行了一项纵向研究，涉及根据聚集在世界研讨会上的不同专家组同意的牙周病分类对[公式：见文本]患者进行分组。我们继续选择锥形束计算机断层扫描 (CBCT) 的图像，这些图像用于通过精确的算法进行骨密度研究，从而可以准确计算此类图像的分形维数。还进行了详细的人体测量分析。我们的目标是证明骨丢失或与其高度和直径相关的变化与骨密度变化之间存在直接关系。我们的结果强调了初始和中度牙周组与对照组和牙周组之间的显着差异，患者经历严重且受控制的牙周病。我们得出的结论是，牙周病患者的结构存在差异，这些患者具有急性成分并且尚未接受治疗，或者他们的治疗无效并且他们的骨质流失没有减缓。