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Determining 3D Flow Fields via Multi-camera Light Field Imaging
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Improvement of DCT-based compression algorithms using Poisson's equation.

Katsu Yamatani1, Naoki Saito

  • 1Department of Urban Science, Meijo University, Gifu 509-0261, Japan. yamatani@urban.meijo-u.ac.jp

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|December 13, 2006
PubMed
Summary

We introduce two new image compression methods, polyharmonic local cosine transform (PHLCT) and partial PHLCT (PPHLCT), that improve visual fidelity and reduce blocking artifacts compared to JPEG Baseline, especially at low bit rates.

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Area of Science:

  • Digital Image Processing
  • Signal Processing
  • Computer Vision

Background:

  • JPEG Baseline is a widely used image compression standard.
  • Blocking artifacts and reduced visual fidelity are common issues with JPEG compression, particularly at low bit rates.
  • Existing methods for improving JPEG decompression quality have limitations.

Purpose of the Study:

  • To develop novel image compression-decompression methods offering superior visual fidelity and reduced artifacts compared to JPEG Baseline.
  • To enhance the decompression of existing JPEG files with improved quality.
  • To achieve these improvements with minimal additional computational cost.

Main Methods:

  • Proposed two methods: full mode polyharmonic local cosine transform (PHLCT) and partial mode PHLCT (PPHLCT).
  • PHLCT modifies both encoder and decoder; PPHLCT modifies only the decoder to improve decompression of JPEG files.
  • Key technique involves decomposing image blocks into a polyharmonic component (smooth predictor) and a residual, leveraging Poisson's equation and Neumann boundary conditions.

Main Results:

  • Both PHLCT and PPHLCT demonstrate better visual fidelity, reduced blocking artifacts, and higher PSNR than JPEG Baseline at low bit rates.
  • The polyharmonic component, estimated from DCT coefficients, effectively predicts image data.
  • PPHLCT successfully decompresses standard JPEG files with enhanced quality.

Conclusions:

  • PHLCT and PPHLCT offer significant improvements over JPEG Baseline for image compression and decompression.
  • The proposed methods provide a computationally efficient way to enhance image quality.
  • These algorithms represent a valuable advancement in digital image processing and compression.