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The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance point, and even its design. In this context, consider a thin wire bent in the form of a quarter circular arc. Polar coordinates are used to calculate the centroid. The wire is first divided into small differential elements of a length equal to the radius multiplied by the differential angle.
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The centroid is an important concept in engineering, physics, and mechanics. It is the geometric center of a body. It always lies within the body except in cases with holes or cavities. When the material that a body is composed of is uniform or homogeneous, the centroid coincides with its center of mass or the center of gravity.
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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.
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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.
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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
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Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping
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Origin centric and part based pose decomposition for 3D human pose estimation.

Zhijie Lin1, Jinxin Yao2, Juan Huang3

  • 1School of Information and Electronic Engineering, Zhejiang University of Science and Technology, Hangzhou, 310023, China. linzhijie@zust.edu.cn.

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|August 23, 2025
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Summary
This summary is machine-generated.

This study introduces the Origin-centric Part Transformer (OPFormer) for 3D human pose estimation. OPFormer enhances accuracy by separating and recombining skeleton parts, improving local and global feature learning.

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Area of Science:

  • Computer Vision
  • Machine Learning

Background:

  • Transformer models show promise in 3D human pose estimation from 2D images.
  • Current methods struggle to balance global skeleton context with local joint features.

Purpose of the Study:

  • To propose a novel transformer block, Origin-centric Part Transformer (OPFormer), for improved 3D human pose estimation.
  • To address limitations in capturing both global and local spatial dependencies in 2D human skeletons.

Main Methods:

  • Introduced the OPFormer block with Skeleton Separation and Skeleton Recombination steps.
  • Skeleton Separation extracts fine-grained local spatial features.
  • Skeleton Recombination uses a human skeleton Origin to fuse local and global features via a Spatial Transformer Encoder.

Main Results:

  • Achieved state-of-the-art performance on Human3.6M and MPI-INF-3DHP datasets.
  • OPFormer attained a Mean Per Joint Position Error (MPJPE) of 37.6mm on Human3.6M without extra training data.
  • Demonstrated superior accuracy in 3D human pose estimation.

Conclusions:

  • The OPFormer block effectively integrates local and global features for accurate 3D human pose estimation.
  • This novel approach advances the field of 2D-to-3D human pose reconstruction.
  • OPFormer offers a robust solution for precise human pose estimation from monocular 2D inputs.