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Related Concept Videos

Diffusion01:12

Diffusion

Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Propagation of Uncertainty from Random Error00:59

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Related Experiment Videos

Hierarchical error diffusion.

Zhen He1

  • 1Xerox Corporation, Wilsonville, OR 97070, USA. zhen.he@xerox.com

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|May 29, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces hierarchical error diffusion (HED), a novel color halftoning algorithm. HED achieves perceptually pleasing results by controlling dot-overlapping, positioning, and coloring for superior minimum brightness variation rendering.

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Area of Science:

  • Digital imaging and color science
  • Computer graphics and image processing

Background:

  • Conventional color halftoning methods often suffer from artifacts or fail to achieve perceptually pleasing results.
  • Existing algorithms like joint quantization and interchannel error diffusion have limitations in controlling halftone quality.

Purpose of the Study:

  • To develop a new class of color error diffusion algorithm, hierarchical error diffusion (HED).
  • To achieve perceptually pleasing color halftone with minimum brightness variation rendering (MBVR).

Main Methods:

  • HED sequentially controls dot-overlapping, dot-positioning, and dot-coloring.
  • An optimal color transform is derived for minimum brightness variation color density (MBVCD).
  • Embedded monochrome error diffusion is used for dot-positioning, inheriting blue noise characteristics.

Main Results:

  • HED demonstrates excellent halftone quality, surpassing state-of-the-art algorithms.
  • The algorithm avoids typical artifacts associated with vector error diffusion.
  • HED shows improved performance in achieving MBVR compared to minimum brightness variation quantization (MBVQ).

Conclusions:

  • Hierarchical error diffusion (HED) offers a distinctive and effective approach to color halftoning.
  • The sequential control of key factors in HED leads to high-quality, perceptually pleasing color halftones.
  • HED represents a significant advancement in achieving minimum brightness variation rendering in color halftoning.