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Adaptive sequential prediction of multidimensional signals with applications to lossless image coding.
Xiaolin Wu1, Guangtao Zhai, Xiaokang Yang
1Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON, L8G 4K1, Canada. xwu@ece.mcmaster.ca
Summary
Researchers developed an adaptive sequential linear predictor using minimum description length (MDL) for piecewise autoregressive multidimensional signals. This method achieves superior lossless image coding performance by adaptively balancing prediction error bias and variance.
Area of Science:
- Signal Processing
- Machine Learning
- Data Compression
Background:
- Designing adaptive predictors for multidimensional signals like images and videos is complex due to numerous design choices.
- Existing methods struggle to balance prediction error bias and variance effectively.
Purpose of the Study:
- To develop an adaptive sequential linear predictor for piecewise autoregressive multidimensional signals.
- To optimize predictor order and support using the Minimum Description Length (MDL) principle.
- To improve lossless image coding performance.
Main Methods:
- Utilized the Minimum Description Length (MDL) criterion to balance prediction error bias and variance.
- Introduced a novel technique for adaptively sequentializing multidimensional signals into nested contexts.
- Developed an adaptive predictor that optimizes order and support shape on a sample-by-sample basis.
Main Results:
- Achieved state-of-the-art performance in lossless image coding.
- The proposed MDL-based adaptive predictor demonstrated superior results compared to existing methods.
- The adaptive sequentialization technique effectively facilitates the search for optimal predictor parameters.
Conclusions:
- The developed MDL-based adaptive predictor offers a significant advancement in signal processing and data compression.
- The novel sequentialization technique provides an efficient approach for designing predictors for complex multidimensional data.
- This method sets a new benchmark for lossless image coding performance.
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