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Optical Transfer Function for Defocused Systems: A Focus Quality Analysis

This study delves into the theory of defocus based on the work of Eric Krotkov and Jean Paul Martin, focusing on wave aberration and the Optical Transfer Function. It discusses the object, image, and pupil planes, wave aberration notation, and the introduction of wave aberration by displacement. The implementation covers the Fibonacci search technique, computing ranges using thin lens geometry, and delves into focus data and range errors.

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Optical Transfer Function for Defocused Systems: A Focus Quality Analysis

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  1. Range from Focus Based on the work of Eric Krotkov And Jean Paul Martin

  2. Problem statement

  3. Problem statement cont.

  4. Theory of Defocus

  5. The Optical Transfer Function

  6. Wave Aberation

  7. The Object plane, the image plane and the pupil planes

  8. The Wave aberation QQ

  9. A different choice of reference system for wave aberation

  10. Notation

  11. The displacement of the detector plane is = to introduction of wave aberation by amount

  12. In terms of the amount of defocus

  13. Figure 2. Cross-section of the OTF of a defocused incoherent system

  14. Focus Quality

  15. Focus criterion functions

  16. Focus criterion functions cont.

  17. Implementation

  18. Search Strategy

  19. Fibonacci search technique

  20. The search Algorithm

  21. Computing the range

  22. Thin lens geometry

  23. Computing the range

  24. Algorithm

  25. Limitations

  26. The effect of depth of field

  27. Focus data

  28. Range errors

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