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相关概念视频

Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
Areas Within Irregular Boundaries01:26

Areas Within Irregular Boundaries

Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
Calculation of Volume of Solids by Integration01:27

Calculation of Volume of Solids by Integration

Volume calculation often begins with simple geometric solids. For example, the volume of a rectangular box is obtained by multiplying the area of its base by its height. This straightforward approach relies on the fact that the cross-sectional area of the box remains constant throughout its length. Many real-world objects, however, do not have uniform cross-sections, and their volumes cannot be determined using elementary geometric formulas.To address this limitation, the Slicing Method...
Volumes of Solids of Revolution01:29

Volumes of Solids of Revolution

Volumes of irregularly shaped objects can be systematically determined using the concept of solids of revolution. This approach begins with a region defined by a curve in a two-dimensional plane. When this region is rotated about a fixed line, known as the axis of revolution, it generates a three-dimensional object with rotational symmetry. Such objects frequently arise in mathematical modeling, physics, and engineering applications.When the region being rotated lies directly against the axis...
Finding Volume Using Cross-Sectional Area01:24

Finding Volume Using Cross-Sectional Area

For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...
Vector Calculus: Problem Solving01:20

Vector Calculus: Problem Solving

Vector calculus provides mathematical tools for analyzing physical fields that vary throughout space. One important application is the study of gravitational interactions between celestial bodies. Consider the Earth positioned at the origin and a satellite located at a point in three-dimensional space. The Earth exerts a gravitational force on the satellite, and this force can be described by components acting along the coordinate directions. Together, these components form a vector field that...

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相关实验视频

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A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
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使用e-Vol DX CBCT软件的算法来确定根运河空间几何学的方法.

Carlos Estrela1, Mike Reis Bueno2, Giampiero Rossi-Fedele3

  • 1Professor of Endodontics, School of Dentistry, Federal University of Goiás, Goiânia, Brazil.

Brazilian dental journal
|December 22, 2023
PubMed
概括

这项研究使用CBCT软件评估了根管制备 (RCP) 的风险. -仪器在操作风险上没有显著差异,确保可预测的根管扩大.

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科学领域:

  • 牙周内科医院 牙周内科医院 牙周内科医院
  • 牙科成像 牙科成像 牙科成像
  • 生物材料科学 生物材料科学

背景情况:

  • 根管准备 (RCP) 旨在清洁和塑造根管,但有可能造成不成比例的牙壁磨损.
  • 圆束计算断层扫描 (CBCT) 提供详细的3D成像,用于评估根管解剖和准备结果.
  • 在RCP期间评估手术风险对于可预测的内牙治疗和预防并发症至关重要.

研究的目的:

  • 评估一种基于CBCT软件的新方法,用于确定根运河准备的空间几何和操作风险.
  • 评估不同- (NiTi) 发动机驱动仪器在下牙中进行RCP时的操作风险.
  • 为了验证空间几何学评估方法对可预测的根管扩张的临床适用性.

主要方法:

  • 使用四个NiTi仪器系统 (ProTaper Next,BioRace,Reciproc Blue,WaveOne Gold) 在RCP前后获得了168个下牙的CBCT扫描.
  • 使用新的CBCT软件 (e-Vol DX) 来分析根管空间几何和操作风险,评估水泥/牙厚度.
  • 一个3分评分系统根据牙壁厚度和不成比例的磨损或穿孔的可能性对风险水平进行分类 (轻度,中度,严重).

主要成果:

  • 在评估的NiTi发动机驱动系统中,在所有三分之一的根系中,没有发现对操作风险的统计学意义上的差异 (p>0.05).
  • 空间几何评估方法有效地识别和分类了操作风险,允许对根管扩张进行临床规划.
  • 基于CBCT的地图读取策略表明,NiTi仪器在根运河准备过程中不会增加操作风险.

结论:

  • 新的CBCT软件和空间几何学方法为在根运河准备过程中评估操作风险提供了可靠的工具.
  • 使用这种空间几何评估方法,对所有根三分之一的可预测根管扩张进行临床规划是可行的.
  • 当与此评估方法一起使用的NiTi发动机驱动仪器时,似乎不会在根管制备中增加操作风险.