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Related Concept Videos

Mesh Analysis01:20

Mesh Analysis

Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
Mesh Analysis for AC Circuits01:12

Mesh Analysis for AC Circuits

In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
Fischer Projections02:18

Fischer Projections

Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines. While...
Fluid Mosaic Model01:19

Fluid Mosaic Model

Scientists identified the plasma membrane in the 1890s and its principal chemical components (lipids and proteins) by 1915. The model for plasma membrane structure, proposed in 1935 by Hugh Davson and James Danielli, was the first model to be widely accepted in the scientific community. The model was based on the plasma membrane's "railroad track" appearance in early electron micrographs. Davson and Danielli theorized that the plasma membrane's structure resembled a sandwich with the analogy of...
Newman Projections02:06

Newman Projections

Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
The organic molecules rotate across the single bonds leading to numerous temporary three-dimensional structures of varying energy known as conformers.

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A tuned mesh-generation strategy for image representation based on data-dependent triangulation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2013
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A flexible content-adaptive mesh-generation strategy for image representation.

Michael D Adams1

  • 1Department of Electrical and Computer Engineering, University of Victoria, Victoria, BC, V8W 3P6, Canada. mdadams@ece.uvic.ca

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|March 23, 2011
PubMed
Summary
This summary is machine-generated.

A new framework, GPRFS, and a mesh-generation method, GPRFS-ED, improve image triangulation. GPRFS-ED offers comparable or better mesh quality than existing methods with less computation and memory.

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Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Geometry

Background:

  • Triangle-mesh representations are crucial for image processing.
  • Existing greedy-point removal (GPR) schemes offer effective mesh generation.
  • Error diffusion (ED) schemes have shown promise in mesh generation.

Purpose of the Study:

  • To propose a novel framework, GPRFS, for constructing triangle-mesh representations of images.
  • To develop a highly effective mesh-generation method, GPRFS-ED, by combining GPRFS with ED concepts.
  • To analyze factors influencing the performance of the ED scheme in mesh generation.

Main Methods:

  • The proposed GPRFS framework is based on the greedy-point removal (GPR) scheme.
  • The GPRFS-ED method integrates GPRFS with the error diffusion (ED) scheme for mesh generation.
  • Detailed study of factors affecting the ED scheme's performance was conducted.

Main Results:

  • GPRFS-ED generates meshes of quality comparable or superior to state-of-the-art GPR schemes.
  • The GPRFS-ED method requires substantially less computation and memory compared to existing methods.
  • A trade-off between mesh quality and computational/memory complexity is achievable with GPRFS-ED.
  • A reduced-complexity version, GPRFS-MED, demonstrates scalability.

Conclusions:

  • GPRFS-ED is a highly effective and computationally efficient method for image mesh generation.
  • The method offers flexibility in balancing mesh quality with resource requirements.
  • GPRFS-ED presents a scalable and advantageous alternative to current mesh generation techniques.