Decoding Curved Basis Transforms Flat Residual Reconstruction

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Solution Overview

Problem

Existing image and video decoding technologies using transforms with non-flat lowest-frequency basis images, such as KLT and DST, often generate artifacts in smooth or slowly changing areas due to their curved or concave shapes, leading to degradation in subjective quality and compression efficiency.

Innovation Solution

A decoder method that reconstructs residual blocks with only the lowest-frequency coefficient as a flat image, depending on its value, and applies an inverse spatial 2D transform for blocks with multiple coefficients, thereby avoiding the use of non-flat basis images that cause artifacts.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If transforms with non-flat lowest-frequency basis images (KLT, DST) are used, then compression efficiency is improved, but artifacts are generated in smooth or slowly changing areas

Engineering Contradiction:
Improvecompression efficiencyVSAvoidartifacts in reconstructed images
Core Design Contradiction:
ProductivityVSObject-affected harmful factors

Solution Approach 1:

The patent applies different reconstruction strategies based on the characteristics of the residual block: flat reconstruction is used for blocks with only DC coefficient (affecting smooth areas), while inverse transform is used for blocks with multiple coefficients (affecting detailed areas). This local differentiation resolves the contradiction by applying the appropriate method to each region's needs.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

Instead of using the conventional inverse transform for all blocks, the patent inverts the approach by using a simplified flat reconstruction method specifically for blocks with only DC coefficient, thereby eliminating artifacts in smooth areas while maintaining compression efficiency.

Inventive Principle:
Principle #13The other way round (Inversion)

2Productivity

If KLT is used to optimize energy compaction, then compression efficiency is improved, but computational complexity and parameter communication requirements increase

Engineering Contradiction:
Improveenergy compaction efficiencyVSAvoidcomputational complexity and parameter communication
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The patent replaces the complex KLT basis functions with a simple flat reconstruction approach for DC-only blocks, using a computationally inexpensive method that achieves the same goal of representing smooth areas without requiring complex calculations or parameter communication.

Inventive Principle:
Principle #27Cheap short-living objects (Disposable)

Solution Approach 2:

The patent extracts and handles the DC coefficient case separately from the general transform case, removing the need to apply complex KLT basis functions when only the DC component is present, thereby reducing computational complexity while maintaining compression efficiency.

Inventive Principle:
Principle #2Taking out (Extraction)

3Productivity

If DST is used for signals with negative correlation, then compression efficiency is improved, but curved basis images generate artifacts in flat areas

Engineering Contradiction:
Improvecompression efficiency for negative correlation signalsVSAvoidartifacts in flat reconstructed areas
Core Design Contradiction:
ProductivityVSObject-affected harmful factors

Solution Approach 1:

The patent applies flat reconstruction specifically to blocks with only DC coefficient that correspond to smooth or flat areas, while allowing DST to be used for blocks with multiple coefficients that represent detailed areas with negative correlation. This local differentiation eliminates artifacts in flat areas while preserving DST's compression benefits for appropriate content.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent introduces dynamic selection of reconstruction methods based on the number of non-zero coefficients in the transform block, adapting the reconstruction strategy to the local characteristics of each block rather than applying a fixed method universally.

Inventive Principle:
Principle #15Dynamics

Data Source

PatentEP2684355B1Decoding of transforms with curved basis functions
Publication Date: 2014.11.12 TELEFONAKTIEBOLAGET LM ERICSSON (PUBL)
  • EP2684355B1 patent drawingFigure 1~2
  • EP2684355B1 patent drawingFigure 3
  • EP2684355B1 patent drawingFigure 4

AI summary

The solution according to embodiments of the present invention is to reconstruct image blocks where only the frequency coefficient that is most sensitive to changes of an average value of the residual image block, typically the lowest frequency coefficient, is present with a flat residual image. The other image blocks are reconstructed by applying an inverse spatial 2D transform. Hence, the other image blocks comprise image blocks with multiple coefficients and image blocks with a single coefficient and wherein the single coefficient is not the coefficient determining (703) that is most sensitive to changes of an average value of the residual image block.