The Mathematica Journal
Volume 10, Issue 2


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Dither Removal
Bart M. ter Haar Romeny

Mathematica is ideal for explaining the design of seemingly complex mathematical methods. In this article we explain the use of the 2D Fourier transform to remove unwanted dithering artifacts from images. All steps are visualized, so the reader can get a good idea of what the Fourier transform of an image looks like, the location of the origin, the artifacts and their extent, and how geometric reasoning works in the Fourier domain. The method leads to a marked clean up of images deteriorated by dither.




*Image Dithering

*Scanning a Dithered Image

*Dither Removal by Filtering



About the Author
Bart M. ter Haar Romeny received an M.S. in applied physics from Delft University and a Ph.D. in 1983 from Utrecht University, The Netherlands. Ter Haar Romeny served from 1983 to 2001 as principal physicist and associate professor in the Department of Radiology and Image Sciences Institute at Utrecht University. He is now a full professor in the Department of Biomedical Engineering at Eindhoven University of Technology. His interests are medical image analysis and multiscale computer vision, including its mathematical foundations and clinical applications. A focus on the human visual system gives biological inspiration for mathematics. He is the author of a popular, interactive tutorial book on perceptually inspired multiscale image analysis written in Mathematica.

Bart M. ter Haar Romeny
Eindhoven University of Technology
Department of Biomedical Engineering
Biomedical Image Analysis
Den Dolech 2, WH2.106
NL-5600 MB Eindhoven, The Netherlands

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