研究目的
To accelerate the processing of 3D images by the discrete orthogonal moments of Charlier, specifically focusing on reducing computation time and improving numerical stability.
研究成果
The proposed method significantly accelerates the computation of 3D Charlier moments and improves image reconstruction quality by using digital filters and cuboid representation, making it suitable for real-time applications.
研究不足
The method may face challenges with very large image sizes due to numerical instability, and the cuboid size selection affects reconstruction quality; optimal size needs empirical determination.
1:Experimental Design and Method Selection:
The methodology involves using digital filters based on the Z transform to compute 3D Charlier moments and representing 3D images as cuboids of fixed sizes to enhance stability and speed.
2:Sample Selection and Data Sources:
Six 3D images of size 128x128x128 voxels from the McGill image base were used for testing.
3:List of Experimental Equipment and Materials:
Computational tools and software for simulation, but no specific hardware or software brands/models are mentioned.
4:Experimental Procedures and Operational Workflow:
The process includes computing 3D Charlier moments using digital filters, decomposing images into cuboids, and reconstructing images locally. Algorithms 1, 2, and 3 are used for computation.
5:Data Analysis Methods:
Performance is evaluated using computation time, mean squared error (MSE), and peak signal-to-noise ratio (PSNR).
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