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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Generalized method for sorting Shack-Hartmann spot patterns using local similarity.

Daniel G Smith1, John E Greivenkamp

  • 1Nikon Research Corporation of America, 12490 North Rancho Vistoso Boulevard, Suite 130, Tucson, Arizona 85742, USA.

Applied Optics
|September 2, 2008
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Summary

A new spot sorting method improves Shack-Hartmann wavefront sensor performance by robustly associating lenslet spots. This technique enhances sensitivity and dynamic range, applicable to various lenslet array geometries.

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Area of Science:

  • Optical Engineering
  • Wavefront Sensing
  • Metrology

Background:

  • Shack-Hartmann wavefront sensors (SHWS) offer enhanced sensitivity and dynamic range when lenslet spots shift beyond one radius.
  • This increased dynamic range poses a challenge in accurately associating shifted spots with their original subapertures.
  • Robust spot-to-subaperture mapping is crucial for reliable wavefront reconstruction in SHWS.

Purpose of the Study:

  • To develop a simple and robust algorithm for sorting Shack-Hartmann spots.
  • To enable accurate subaperture assignment for shifted spots in SHWS.
  • To demonstrate the algorithm's applicability to various lenslet array geometries, including hexagonal and square lattices.

Main Methods:

  • A novel spot sorting algorithm is presented that leverages local spot position distortions.
  • The algorithm effectively 'unwraps' the spot pattern, enabling correct association with subapertures.
  • The method's performance is evaluated across different lenslet array configurations.

Main Results:

  • The developed algorithm provides accurate and robust spot sorting, even with significant spot displacement.
  • Hexagonal lenslet arrays are shown to be more efficient than square arrays for this application.
  • The method is demonstrated to be effective for any two-dimensional lattice geometry.

Conclusions:

  • The proposed spot sorting algorithm successfully addresses the challenge of associating shifted spots in SHWS.
  • This technique enhances the practical utility of SHWS with extended dynamic range.
  • The findings highlight the advantages of hexagonal arrays and provide a versatile solution for wavefront sensing.