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相关概念视频

Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

233
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
233
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

235
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
235
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

52
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...
52
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

273
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
273
Differential Leveling01:12

Differential Leveling

170
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...
170
Degree of Curvature and Radius of Curvature01:19

Degree of Curvature and Radius of Curvature

55
The degree of curvature and the radius of curvature are fundamental concepts in determining the sharpness or smoothness of a curve. The degree of curvature is a measure of how steeply a curve bends and can be determined using the chord basis or the arc basis. In the chord basis method, the degree of curvature is defined as the central angle subtended by a chord of 30.48 meters, helping in the calculation of the radius of the curve. The arc basis method defines the degree of...
55

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相关实验视频

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Quantifying Intermembrane Distances with Serial Image Dilations
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一个改进的角 dealiasing 和识别算法用于 2D Wadell 圆度计算.

Jianhuang Chen1, Zhongjian Zhang2, Daming Lin3

  • 1Department of Civil Engineering, School of Engineering and Technology, China University of Geosciences (Beijing), No. 29 Xueyuan Road, Haidian District, Beijing, 100083, China.

Scientific reports
|April 24, 2024
PubMed
概括
此摘要是机器生成的。

这项研究通过使用数字图像处理来完善粒子圆度计算. 新的方法提高了复杂形状的精度,最大限度地减少2D瓦德尔圆度分析中的错误.

关键词:
角落的识别 角落的识别循环中点过的循环中点过数字图像处理是数字图像处理.概要的外卖融资情况瓦德尔的圆度是圆的

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科学领域:

  • 地质地质地质地质地质地
  • 图像分析 图像分析
  • 计算几何学的计算几何学

背景情况:

  • 粒子形状分析在地质学和材料科学中至关重要.
  • 精确测量粒子圆度对于理解地质过程和材料特性至关重要.
  • 目前用于Wadell圆度计算的数字图像处理方法面临着与别名和角探测的挑战.

研究的目的:

  • 使用先进的数字图像处理技术优化2D瓦德尔圆度计算.
  • 开发和验证算法,以改进角落关键点的分组和分离.
  • 为了建立角点像素数量,中心角和dealiasing参数之间的关系,以最大限度地减少计算错误.

主要方法:

  • 实施一个算法,以分组角的关键点来识别独立的角.
  • 引入循环中点过方法,以缓解角落外流的外流.
  • 在角点像素数量 (m),中心角 (α) 和脱离度 (n) 之间建立数学关系.
  • 使用克伦贝恩图表和砂岩薄截面图像进行验证.

主要成果:

  • 优化方法在中心角 (α) ≥30°时,为瓦德尔圆度达到5.21%的最大误差.
  • 对于较小的中心角 (12° ≤ α < 30°),错误会增加.
  • 通过插入,将角点像素 (m) 增加到最小数量 (m0) 有效地最大限度地减少了角圈误差.
  • 增加的m扩大了n的最佳范围,而更高的α减少了对m的依赖.

结论:

  • 拟议的数字图像处理方法显著提高了2D瓦德尔圆度计算的准确性.
  • 开发的 dealiasing 和角集群方法对于分析复杂的封闭轮是有效的.
  • 这些发现为地质学和材料科学应用中精确的粒子形状分析提供了可靠的方法.