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Related Experiment Video

Updated: Apr 26, 2026

Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres
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Flexible focus function consisting of convex function and image enhancement filter.

Kai Wang, Yuntao Qian, Minchao Ye

    Optics Express
    |August 5, 2014
    PubMed
    Summary

    A novel focus function (Λ) was developed, adaptable to various image processing tasks. This flexible function, proven effective using Jensen

    Area of Science:

    • Image processing
    • Computer vision

    Background:

    • Focus functions are crucial for image deblurring and restoration.
    • Existing focus functions often lack flexibility and adaptability.

    Purpose of the Study:

    • To propose a new, flexible focus function (Λ) for image deblurring.
    • To demonstrate the effectiveness and robustness of the proposed focus function.

    Main Methods:

    • Developed a new focus function (Λ) comprising a convex function and an image enhancement filter.
    • Proved Λ's validity as a focus function using a model and Jensen's inequality.
    • Experimentally tested random Λ instances on simulated and real blurred images, including motion blur and various noise types.

    Main Results:

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  • 98-99% of random Λ instances correctly identified the best-focused image in simulated and real data.
  • Λ demonstrated a decreasing trend with increasing defocus.
  • The focus function proved robust against motion blur, varying window sizes, and different noise types.

    • Conclusions:

    • The proposed focus function (Λ) offers significant flexibility and adaptability.
    • Λ is a reliable tool for image deblurring across diverse imaging conditions and noise levels.