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Related Concept Videos

Beams01:30

Beams

Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...
Deformation of a Beam under Transverse Loading01:15

Deformation of a Beam under Transverse Loading

Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...

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Related Experiment Video

Updated: May 20, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

JBEAM: multiscale curve coding via beamlets.

Xiaoming Huo1, Jihong Chen

  • 1School of ISyE, Georgia Institute of Technology, Atlanta 30332-0205, USA. xiaoming@isye.gatech.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|November 11, 2005
PubMed
Summary
This summary is machine-generated.

A new multiscale coder called JBEAM efficiently encodes curves and boundaries using beamlets. This progressive coding method shows superior performance compared to the JBIG 2 standard.

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Area of Science:

  • Computer Vision
  • Image Processing
  • Data Compression

Background:

  • Accurate and efficient coding of curves and boundaries is crucial for image compression.
  • Existing methods may lack efficiency or multiscale capabilities for complex curvilinear features.

Purpose of the Study:

  • To introduce JBEAM, a novel multiscale coder specifically designed for curves and boundaries.
  • To demonstrate the effectiveness and efficiency of the proposed beamlet-based approach.

Main Methods:

  • Development of a rate-distortion optimized beamlet-based representation.
  • Implementation of tree-based coding for progressive transmission from beamlet representation to symbol stream.
  • Integration of an entropy coder to complete the JBEAM system.

Main Results:

  • JBEAM leverages multiscale properties for progressive coding.
  • The coder exhibits a low computational complexity.
  • Simulations indicate JBEAM outperforms the current industry standard, JBIG 2.

Conclusions:

  • JBEAM offers a significant advancement in curve and boundary coding.
  • The multiscale beamlet approach provides a competitive and efficient solution.
  • The availability of a software package facilitates further research and application.