Secondary Transform Coding for Low-Frequency Coefficient Compression

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Solution Overview

Problem

The increasing demand for high-resolution and high-quality images leads to increased transmission and storage costs due to the higher amount of information required, necessitating a more efficient image compression technique.

Innovation Solution

An image coding method and apparatus utilizing a non-separable secondary transform (NSST) to enhance transform efficiency by decoding or encoding a transform index before transform coefficients, concentrating non-zero coefficients on low frequency components, and applying secondary transforms to improve coding efficiency.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If high-resolution and high-quality images are transmitted or stored, then image quality is improved, but transmission cost and storage cost increase

Engineering Contradiction:
Improveimage qualityVSAvoidamount of data
Core Design Contradiction:
Measurement precisionVSQuantity of substance

Solution Approach 1:

The patent extracts only the essential visual information by applying transform coding to convert image blocks into frequency domain representations. By focusing on and transmitting only the significant transform coefficients (those containing important visual information) while discarding or coarsely encoding less important coefficients, the system achieves high-quality reconstruction with reduced data量

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent changes the representation parameters of image data by applying secondary transforms (such as NSST - Non-Separable Secondary Transform) to the transform coefficients. This parameter transformation concentrates the energy of the coefficients, allowing more efficient quantization and encoding while preserving visual quality, thus reducing the amount of data needed to represent the same image quality

Inventive Principle:
Principle #35Parameter changes

2Quantity of substance

If transform coding is applied to compress image data, then data compression is improved, but transform efficiency needs enhancement

Engineering Contradiction:
Improvedata compression ratioVSAvoidtransform efficiency
Core Design Contradiction:
Quantity of substanceVSProductivity

Solution Approach 1:

The patent applies a preliminary primary transform (such as DCT or DST) to image blocks before applying the secondary transform. This preliminary transformation begins the process of concentrating energy into fewer coefficients, making the subsequent secondary transform more effective and reducing the overall computational complexity compared to applying a single complex transform

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent employs multiple transform types (different primary transforms and secondary transforms) that can be dynamically selected based on the characteristics of the image block (such as prediction mode, block size, or content properties). This dynamic adaptability allows the system to optimize transform efficiency for different types of content while maintaining high compression ratios

Inventive Principle:
Principle #15Dynamics

3Productivity

If secondary transform is applied to transform coefficients, then coding efficiency is improved, but processing complexity increases

Engineering Contradiction:
Improvecoding efficiencyVSAvoidprocessing complexity
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The patent segments the transform process into two distinct stages: primary transform and secondary transform. Each stage uses relatively simple, well-defined transform operations. By dividing the complex transformation task into manageable segments, the system achieves high coding efficiency while keeping the implementation complexity of each individual transform low and manageable

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS20260082062A1Image coding method on basis of secondary transform and device therefor
Publication Date: 2026.03.19 NOKIA TECHNOLOGIES OY
  • US20260082062A1 patent drawing
  • US20260082062A1 patent drawing
  • US20260082062A1 patent drawing

AI summary

An image information decoding method performed by means of a decoding device according to the present invention comprises the steps of: decoding a non-separable secondary transform (NSST) index from a bitstream if NSST is applied to a target block; decoding information relating to transform coefficients with respect to the target block from the bitstream on the basis of the decoded NSST index; and deriving the transform coefficients with respect to the target block on the basis of the decoded information relating to the transform coefficients, wherein the NSST index is decoded prior to the information relating to the transform coefficients with respect to the target block.