The Lucy-Richardson Algorithm for Image Restoration

The Lucy-Richardson algorithm effectively restores blurred and noisy images when the point-spread function PSF (blurring operator) is known, but noise information is limited or unavailable. This iterative, accelerated, damped algorithm improves image quality while preserving critical features, with implementation typically involving deconvolution functions and PSF parameter optimization.

Multi-focus Image Fusion: Wavelet Decomposition and PSF Model Integration

This paper introduces multi-focus image fusion techniques, starting with wavelet transform fusion algorithms. While wavelet transforms offer non-redundancy and minimal high-frequency loss for effective fusion, they suffer from shift-variance and edge information degradation during reconstruction due to external interference. To overcome these limitations, we propose a hybrid method integrating wavelet decomposition with Point Spread Function (PSF) modeling. The approach involves non-downsampled wavelet decomposition to maintain source image dimensions, superposition of multi-directional/multi-scale high-frequency components, and feature extraction for sharp/blur target identification. The fusion algorithm design incorporates strategic source image combination while bypassing inverse wavelet transforms, yielding superior results through optimized edge preservation and reconstruction stability.