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Related Concept Videos

Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
Crystallographic Point Groups01:29

Crystallographic Point Groups

Crystallographic point groups represent the various symmetry operations that can occur within crystals. They are unique in that at least one point will always remain unchanged during these actions. For instance, consider the triclinic system. This system, devoid of any axis or plane of symmetry, aligns with the C1 and Ci point groups.where Cᵢ is characterized solely by a center of inversion.Contrastingly, the monoclinic system introduces an element of symmetry. This system with one plane and...

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Related Experiment Video

Updated: Jun 13, 2026

Single Particle Cryo-Electron Microscopy: From Sample to Structure
11:52

Single Particle Cryo-Electron Microscopy: From Sample to Structure

Published on: May 29, 2021

Structure-Preserving Point Cloud Completion with Symmetry-Guided Progressive Refinement.

Shuanfeng Zhao1, Yixin Niu1

  • 1School of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China.

Sensors (Basel, Switzerland)
|June 12, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a novel symmetry-guided network for point cloud completion, effectively balancing global structure and local details in incomplete 3D data. The method enhances shape recovery from partial observations, improving 3D reconstruction accuracy.

Keywords:
3D reconstructiongraph neural networkpoint cloud completionprogressive refinementsymmetry-guided completiontransformer

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Area of Science:

  • Computer Vision
  • 3D Computer Graphics
  • Machine Learning

Background:

  • Point cloud completion from partial data is difficult due to the trade-off between global structure and local details.
  • Severe incompleteness exacerbates challenges in 3D shape reconstruction.

Purpose of the Study:

  • To propose a symmetry-guided progressive refinement network for robust point cloud completion.
  • To address the challenge of balancing global consistency and local detail recovery in incomplete 3D shapes.

Main Methods:

  • A Symmetry Graph Inference Network (SymGraphNet) learns structural correspondences using keypoint graphs without explicit symmetry plane estimation.
  • A confidence-weighted Cross-Aware Decoder adaptively fuses features for balanced completion of visible and missing regions.
  • A multi-stage residual refinement strategy progressively enhances geometric fidelity and point distribution.

Main Results:

  • The proposed network achieves consistent improvements over state-of-the-art methods on PCN, MVP, and KITTI datasets.
  • Demonstrated effectiveness in both synthetic and real-world incomplete point cloud scenarios.
  • Successfully balances the recovery of global structure and fine-grained local details.

Conclusions:

  • The symmetry-guided progressive refinement network offers a robust solution for point cloud completion under severe incompleteness.
  • The method effectively learns structural correspondences and progressively refines shapes for improved 3D reconstruction.
  • This approach advances the state-of-the-art in 3D shape completion from partial observations.