摘要

We propose a new focus function. that, like many of the existing focus functions, consists of a convex function and an image enhancement filter. A is rather flexible because for any convex function and image enhancement filter, it is a focus function. We proved that. is a focus function using a model and Jensen's inequality. Furthermore, we generated random.s and experimentally applied them to simulated and real blurred images, finding that 98% and 99% of the random.s, respectively, have a maximum value at the best-focused image and most of them decrease as the defocus increases. We also applied random.s to motion-blurred images, blurred images in different-sized windows, and blurred images with different types of noise. We found that. can be applied to motion blur and is robust to different-sized windows and different noise types.

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