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Map transformations by optical anamorphic processing.

A W Lohmann1, N Streibl

  • 1Physikalisches Institut der Universitat Erlangen-Nurnberg, 8520 Erlangen, Federal Republic of Germany.

Applied Optics
|March 15, 1983
PubMed
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This study introduces an optical setup for image map transformations using spatial filtering. The system achieves linear and nonlinear geometric distortions without introducing aberrations, applicable to various light coherencies.

Area of Science:

  • Optics
  • Image Processing
  • Geometric Transformations

Background:

  • Map transformations are intentional geometric distortions applied to images.
  • Common examples include rotation, shearing, and local coordinate system stretching.

Purpose of the Study:

  • To describe an optical setup capable of performing map transformations.
  • To demonstrate the system's ability to execute both linear and nonlinear distortions.

Main Methods:

  • Utilized spatial filtering with two phase-only filters to achieve map transformations.
  • Designed filters to introduce specific geometric distortions without optical aberrations.

Main Results:

  • The optical setup successfully performed linear distortions such as shears.

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  • The system also achieved certain nonlinear x- and y-distortions.
  • The distorting filters were confirmed to introduce no aberrations.

    • Conclusions:

    • The described optical setup provides a versatile method for image map transformations.
    • The use of phase-only filters enables precise geometric distortions with high fidelity.
    • The system is applicable to objects with varying degrees of light coherence.