光学
旋转(数学)
傅里叶变换
图像融合
点扩散函数
人工智能
相位相关
图像复原
物理
计算机视觉
数学
图像处理
计算机科学
傅里叶分析
短时傅里叶变换
图像(数学)
数学分析
作者
Rigui Yi,Ming Liu,Xi Chen,Xiaohua Liu,Yuejin Zhao,Liquan Dong
摘要
Wave-front coding has a great prospect in extending the depth of the optical imaging system and reducing optical aberrations, but the image quality and noise performance are inevitably reduced. According to the theoretical analysis of the wave-front coding system and the phase function expression of the cubic phase plate, this paper analyzed and utilized the feature that the phase function expression would be invariant in the new coordinate system when the phase plate rotates at different angles around the z-axis, and we proposed a method based on the rotation of the phase plate and image fusion. First, let the phase plate rotated at a certain angle around the z-axis, the shape and distribution of the PSF obtained on the image surface remain unchanged, the rotation angle and direction are consistent with the rotation angle of the phase plate. Then, the middle blurred image is filtered by the point spread function of the rotation adjustment. Finally, the reconstruction images were fused by the method of the Laplacian pyramid image fusion and the Fourier transform spectrum fusion method, and the results were evaluated subjectively and objectively. In this paper, we used Matlab to simulate the images. By using the Laplacian pyramid image fusion method, the signal-to-noise ratio of the image is increased by 19%~27%, the clarity is increased by 11%~15% , and the average gradient is increased by 4%~9% . By using the Fourier transform spectrum fusion method, the signal-to-noise ratio of the image is increased by 14%~23%, the clarity is increased by 6%~11% , and the average gradient is improved by 2%~6%. The experimental results show that the image processing by the above method can improve the quality of the restored image, improving the image clarity, and can effectively preserve the image information.
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