3D数字空间分析用于平整斯皮的曲线
Fang Yang1,2,3, Hongyu Hou1,2, Runge Yu1,2
1State Key Laboratory of Oral & Maxillofacial Reconstruction and Regeneration, Key Laboratory of Oral Biomedicine Ministry of Education, Hubei Key Laboratory of Stomatology, School & Hospital of Stomatology, Wuhan University, Wuhan, Hubei Province, China.
BMC oral health
|December 5, 2025
概括
量化Spee下曲线 (COS) 的平衡空间至关重要. 一个新的数学模型使用3D技术和接触点测量预测了这个空间.
科学领域:
- ортодонтика和牙科建模 牙科建模
- 生物医学工程 生物医学工程
- 量化牙科 量化牙科是一门学科.
背景情况:
- 斯佩的下曲线 (COS) 影响正牙治疗计划.
- 精确量化COS平衡所需的空间是必不可少的.
- 目前的方法可能缺乏空间估计的精度.
研究的目的:
- 要量化平衡斯佩的下曲线 (COS) 所需的空间.
- 开发一个COS平面空间的预测数学模型.
- 使用3D数字化技术进行精确的测量.
主要方法:
- 数字扫描牙模型,使用不同的COS深度.
- 细分和对齐3D模型,包括皇冠根数据.
- 测量接触点 (CP) 坐标并分析与空间要求和圆周长的关系.
主要成果:
- 在第二个质 mesial CP 深度和所需空间之间存在线性关系.
- 在第二个牙中不到3.5毫米的 mesial CP 深度不需要额外的空间.
- 发现2D圆和第一个质 mesial CP深度之间存在线性关联.
结论:
- 已经开发了一个COS平面空间的预测数学模型.
- 该模型使用3D数字化和CP测量.
- 这为正义牙科空间分析提供了一种可量化的方法.
相关概念视频
Sight Distance in a Vertical Curve
306
Sight distance on vertical curves is critical in roadway design. It ensures drivers can see far enough ahead to identify and respond to hazards effectively. This directly impacts safety, driver comfort, and the overall efficiency of the transportation network.Vertical curves are classified into crest and sag curves based on their geometry. For crest curves, sight distance is determined by the line of sight between a driver's eye and a small object on the road's surface. Design parameters for...
306
Influence of Earth's Curvature and Atmospheric Refraction on Leveling
838
During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
838
Differential Leveling
637
Differential leveling is a precise method in surveying used to determine the elevation difference between two points. Its primary goal is to establish accurate vertical measurements to create level surfaces or grade lines critical for designing and constructing infrastructures such as roads, bridges, and buildings.The procedure for differential leveling begins with setting up and leveling the instrument at a point where the benchmark can be seen. The level rod is held on the benchmark (BM), and...
637
Elevation of Intermediate Points on Vertical Curves
250
Vertical curves are essential in roadway design because they provide smooth transitions between varying roadway grades. Designing vertical curves involves calculating intermediate elevations and identifying the curve's highest or lowest point, which is essential for optimal roadway performance.Intermediate elevations on a vertical curve are determined using the tangent offset method. This method considers the initial elevation at the start of the curve, the grades, and the curve's geometry. The...
250
Introduction and Methods of Leveling
438
Leveling is a surveying procedure used to determine elevation differences between distant points. Elevation refers to the vertical distance above or below a reference datum, typically mean sea level (MSL). In the United States, elevations are often referenced to the mean sea level station at Father Point Rimouski along the St. Lawrence Seaway. To make the datum accessible, permanent markers are established throughout the region. These markers, called benchmarks, have known elevations. If the...
438
Three-Dimensional Analysis of Strain
568
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
568


