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Discrete transform approximations for video coding

Discrete transform approximations for video coding

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In this article discusses several relevant low-complexity transforms for image and video compression. We present metrics for evaluating DCT approximate transforms and search for optimal transforms in terms of the evaluation metrics. The optimal transforms are then submitted to hardware implementation and compared to the standard approximations for high-efficiency video coding (HEVC).

Chapter Contents:

  • 8.1 Introduction
  • 8.2 Literature review
  • 8.3 Design of approximate transforms
  • 8.3.1 Design parameters
  • 8.3.2 Scalable transforms
  • 8.4 Evaluation metrics
  • 8.4.1 The weighted total error energy
  • 8.4.2 The weighted mean square error
  • 8.4.3 The unified transform coding gain
  • 8.4.4 The transform efficiency
  • 8.4.5 Specification of the weighting matrix W
  • 8.5 Efficient transforms
  • 8.5.1 Multicriteria optimization
  • 8.5.2 Efficient solutions
  • 8.6 Video coding experiments
  • 8.7 Hardware implementation
  • 8.8 Conclusions
  • Acknowledgements
  • References

Inspec keywords: data compression; discrete cosine transforms; video coding

Other keywords: discrete transform approximations; optimal transforms; evaluation metrics; high-efficiency video coding; hardware implementation; low-complexity transforms; video compression; image compression; HEVC; DCT approximate transforms

Subjects: Integral transforms in numerical analysis; Video signal processing; Image and video coding; Integral transforms in numerical analysis

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