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相关概念视频

Distance Measurements by Taping01:18

Distance Measurements by Taping

97
Tapes are essential in surveying for accurate, durable, and short-distance measurements. Made from lightweight, nylon-coated steel, they offer flexibility and strength for rugged outdoor use. The nylon coating protects against rust and wear, extending the tape's life. Standard lengths, around 30 meters, are marked in meters and millimeters for precision.Surveyors select tapes based on site conditions and accuracy needs. Lightweight, nylon-coated tapes are commonly used for ease of handling and...
97
Sight Distance in a Vertical Curve01:29

Sight Distance in a Vertical Curve

128
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...
128
Design Example: Measuring Distance Between Two Points with Obstructions01:10

Design Example: Measuring Distance Between Two Points with Obstructions

119
When measuring distances in areas with physical obstructions, such as a lake in a field, surveyors must employ techniques to calculate accurate lengths without direct line measurements. One effective method is the offset technique, which allows for precise distance estimation over inaccessible stretches.In this scenario, a surveyor must measure a side of an area that crosses a lake. Since the measuring tape cannot span the lake, the surveyor begins by establishing a baseline that aligns with...
119
Focusing of Light in the Eye01:16

Focusing of Light in the Eye

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Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
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Range00:59

Range

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The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the study of seven 16-ounce soda cans, the filled volume of soda was measured, thus producing the following amount (in ounces) of soda:
15.9; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5
Measurements of the amount of soda in a 16-ounce can vary since different subjects record these measurements or since the exact amount - 16 ounces of liquid, was not...
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Distance Corrections01:15

Distance Corrections

81
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
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Updated: Sep 9, 2025

Quantifying Intermembrane Distances with Serial Image Dilations
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最近最远的最宽的

Kenneth Lange1

  • 1Departments of Computational Medicine, Human Genetics, and Statistics, University of California, Los Angeles, CA 90095, USA.

Algorithms
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PubMed
概括
此摘要是机器生成的。

这项研究介绍了弗兰克-沃尔夫和预测梯度上升算法,以找到凸集中的直径和最远点. 一种同位素方法改善了预测的梯度上升

关键词:
弗兰克-沃尔夫凸起的集合它们的直径最远的一点一致性预计的梯度上升

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科学领域:

  • 优化算法
  • 计算几何学
  • 凸起式分析

背景情况:

  • 在紧凸集中确定直径和最远点是优化中的基本问题.
  • 像弗兰克-沃尔夫和预测梯度上升这样的现有算法可以被困在非形问题的局部最大值中.

研究的目的:

  • 提出并测试用于计算紧凸集的直径和最远点的新算法.
  • 调查同位素方法在克服基于梯度的算法的局部最大限度的有效性.

主要方法:

  • 构建和测试弗兰克-沃尔夫和预测梯度上升算法.
  • 开发和应用一个同位体方法,使球逐渐变形成目标组.
  • 对凸圆和圆球的交叉点以及凸次级集的支函数的计算.

主要成果:

  • 弗兰克-沃尔夫和预测梯度上升算法在经过测试的紧凸集上表现出相似的性能.
  • 当不使用同位素法时,弗兰克-沃尔夫算法显示出更大的可靠性.
  • 同位素法增强了预测梯度上升算法,使其能够从故障中恢复.

结论:

  • 弗兰克-沃尔夫和预测梯度上升都适用于直径和最远点计算.
  • 同位体方法为预计的梯度上升提供了显著的改进,增加了它的稳定性.
  • 这项研究为几何优化问题提供了精细的算法方法.