Inverse problem of dynamically variable halftoning

Lev S. Sadovnik; Alexander A. Sawchuk

doi:10.1117/12.179740

8 July 1994 Inverse problem of dynamically variable halftoning

Lev S. Sadovnik, Alexander A. Sawchuk

Proceedings Volume 2241, Inverse Optics III; (1994) https://doi.org/10.1117/12.179740
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

Halftoning (intensity-to-area modulation) is used to implement nonlinear gray-scale transformations in optical information processing and in the graphic arts. Dynamically variable halftoning can be achieved by recording the intensity distribution of cross-line grating diffraction patterns onto a high contrast photosensitive medium. The input image information thus becomes an array of opaque periodic structures whose areas are related to the input image intensity. To achieve a required halftone mapping from intensity to area, we pose an inverse problem: given the area of the periodic structures as a function of input intensity, synthesize an optical system that implements this function. This ill-posed problem is solved using a class of symmetric functions with separable variables.

Citation Download Citation

Lev S. Sadovnik and Alexander A. Sawchuk "Inverse problem of dynamically variable halftoning", Proc. SPIE 2241, Inverse Optics III, (8 July 1994); https://doi.org/10.1117/12.179740

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