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Transformations of Functions III01:20

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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

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Published on: August 30, 2013

Directional lapped transforms for image coding.

Jizheng Xu1, Feng Wu, Jie Liang

  • 1Institute of Image Communication and Information Processing, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China. jzxu@microsoft.com

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|September 18, 2009
PubMed
Summary
This summary is machine-generated.

We designed directional lapped transforms for efficient image coding. These novel transforms offer perfect reconstruction and arbitrary directional bases, improving compression performance in state-of-the-art systems.

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Area of Science:

  • Digital Signal Processing
  • Image Compression
  • Computer Vision

Background:

  • Lapped transforms offer advantages in image coding by reducing blocking artifacts.
  • Discrete Cosine Transform (DCT) is a widely used transform in image compression.
  • Factorization of transforms into elementary operators allows for directional adaptations.

Purpose of the Study:

  • To design and present novel directional lapped transforms for image coding applications.
  • To enable transforms that provide a basis along arbitrary directions.
  • To evaluate the effectiveness of these directional transforms in a practical image coding system.

Main Methods:

  • Designing directional lapped transforms by factorizing a prefilter-DCT structure into elementary operators.
  • Applying elementary operators along specified directions to create directional bases.
  • Integrating a block-based directional transform scheme into the HD Photo image coding system.

Main Results:

  • The proposed directional lapped transforms are nonredundant and perfectly reconstructed.
  • These transforms provide a basis along arbitrary directions, enhancing coding flexibility.
  • Integration into HD Photo demonstrated the effectiveness of the directional transforms.

Conclusions:

  • Directional lapped transforms are a promising advancement for image coding.
  • The proposed method offers improved performance and flexibility over traditional transforms.
  • The integration into HD Photo validates the practical applicability of these transforms.