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Nearly concurrently, J. F. Jarvis, C. N. Judice, and W. H. Ninke of Bell Labs disclosed a similar method, which they termed "minimized average error" using a larger kernel [3] 1 48 [ − − # 7 5 3 5 7 5 3 1 3 5 3 1 ] . {\displaystyle {\frac {1}{48}}{\begin{bmatrix}-&-&\#&7&5\\3&5&7&5&3\\1&3&5&3&1\end{bmatrix}}.}
The term dither was published in books on analog computation and hydraulically controlled guns shortly after World War II. [1] [2] [nb 1] Though he did not use the term dither, the concept of dithering to reduce quantization patterns was first applied by Lawrence G. Roberts [4] in his 1961 MIT master's thesis [5] and 1962 article. [6]
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Adding an appropriate amount of dither during quantization prevents determinable errors correlated to the signal. If dither is not used then noise shaping effectively functions merely as distortion shaping — pushing the distortion energy around to different frequency bands, but it is still distortion. If dither is added to the process as
Floyd–Steinberg dithering is an image dithering algorithm first published in 1976 by Robert W. Floyd and Louis Steinberg. It is commonly used by image manipulation software. For example when converting an image from a Truecolor 24-bit PNG format into a GIF format, which is restricted to a maximum of 256 colors.
Atkinson dithering is a variant of Floyd–Steinberg dithering designed by Bill Atkinson at Apple Computer, and used in the original Macintosh computer. Implementation
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