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Published on: August 22, 2025
Motion estimation using higher order statistics
E Sayrol1, A Gasull, J R Fonollosa
1Dept. of Signal Theory and Commun., Univ. Politecnica de Catalunya, Barcelona.
This study introduces a novel fourth-order cost function for displaced frame difference (DFD) to improve motion estimation in noisy image sequences. This method enhances accuracy for small image regions, outperforming traditional second-order statistics.
Area of Science:
- Digital Image Processing
- Computer Vision
- Signal Processing
Background:
- Accurate motion estimation is crucial for video analysis.
- Traditional methods struggle with noisy image sequences and small regions.
- Displaced Frame Difference (DFD) is a common metric for motion estimation.
Purpose of the Study:
- Introduce a fourth-order cost function for DFD.
- Improve motion estimation accuracy in severely corrupted image sequences.
- Enable motion estimation for small image regions or blocks.
Main Methods:
- Developed a fourth-order cost function based on DFD statistics.
- Utilized higher-order statistics (beyond second-order) to handle Gaussian noise.
- Compared performance against mean kurtosis and mean square error of DFD.
Main Results:
- The proposed fourth-order cost function demonstrates capability for motion estimation in small regions.
- The method shows effectiveness even when image sequences are severely corrupted by additive Gaussian noise.
- Performance comparisons indicate advantages over traditional mean square error and mean kurtosis methods.
Conclusions:
- Fourth-order statistics offer a robust approach for motion estimation in challenging conditions.
- The novel cost function enhances motion estimation accuracy, particularly for small image blocks.
- This work provides a valuable tool for applications requiring precise motion tracking in noisy video data.
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