Pincushion distortion from spherical detectors

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SUMMARY

The discussion centers on the phenomenon of pincushion distortion caused by spherical detectors in imaging systems. Users noted that while the shape of the detector influences the final image, the expected outward bending of lines does not occur; instead, lines bend inward, creating pincushion distortion. This distortion is contrasted with field curvature, which is a different optical aberration. Understanding the geometric implications of spherical detector shapes is crucial for accurate image interpretation.

PREREQUISITES
  • Understanding of optical distortion types, specifically pincushion distortion.
  • Familiarity with spherical detector geometry and its impact on imaging.
  • Knowledge of field curvature and its differences from pincushion distortion.
  • Basic principles of image formation in optical systems.
NEXT STEPS
  • Research the mathematical models of pincushion distortion in optical systems.
  • Explore the effects of spherical lens design on image quality.
  • Study field curvature in detail to differentiate it from pincushion distortion.
  • Investigate correction techniques for optical distortions in imaging applications.
USEFUL FOR

Optical engineers, imaging scientists, and anyone involved in the design or analysis of imaging systems using spherical detectors.

senan
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I'm wondering how the use of spherical shaped detectors causes pincushion distortion. I can understand the shape of the detector affecting the final image but I thought the lines would bend out as when a hemisphere is laid out flat, a point appearing near the center from the front on angle would appear further away when the detector is flat. However every image of pincushion distortion has the lines bending in.
 
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Can you provide some context? I'm more familiar with field curvature in this regard.
 

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