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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

44
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...
44
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
384
Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

437
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
437
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

319
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
319
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

443
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
443
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

356
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
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Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
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基于坐标分解的自适应加权渐进式代近似.

Yushi Liu1, Yan Wang2, Chengzhi Liu1

  • 1School of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, China.

PloS one
|January 29, 2025
PubMed
概括
此摘要是机器生成的。

本研究介绍了一种矢量分解技术,以提高几何近似度. 动态调整组件重量可以加速融合,并提高曲线和表面的精度.

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科学领域:

  • 计算机辅助设计 计算机辅助设计
  • 几何建模 几何建模
  • 数字分析 数字分析

背景情况:

  • 渐进的代近似需要计算曲线和数据点之间的调整向量.
  • 精确调整控制点对于准确的几何近似来说至关重要.

研究的目的:

  • 为了提高几何近似算法的精度和效率.
  • 引入一种使用加权矢量分解调整控制点的新方法.

主要方法:

  • 调整向量的分解成它的坐标组成部分.
  • 引入每个组件的动态权重,根据代错误进行调整.
  • 几何代方法用于曲线和表面近似的应用.

主要成果:

  • 通过动态重量调整加速代的融合.
  • 提高曲线和表面的近似精度.
  • 证明了几何代方法的灵活性和精度.

结论:

  • 矢量分解是改善几何近似算法的关键技术.
  • 动态重量调整可以精确控制曲线和表面形状.
  • 拟议的方法显著提高了计算效率和近似准确度.