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A 1-bit image of the Statue of David, dithered with Floyd–Steinberg algorithm. 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.
The simplest form of the algorithm scans the image one row at a time and one pixel at a time. The current pixel is compared to a half-gray value. If it is above the value a white pixel is generated in the resulting image.
Ordered dithering is any image dithering algorithm which uses a pre-set threshold map tiled across an image. It is commonly used to display a continuous image on a display of smaller color depth . For example, Microsoft Windows uses it in 16-color graphics modes.
However, digital image processing has also enabled more sophisticated dithering algorithms to decide which pixels to turn black or white, some of which yield better results than digital halftoning. Digital halftoning based on some modern image processing tools such as nonlinear diffusion and stochastic flipping has also been proposed recently.
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]
Atkinson dithering is a variant of Floyd–Steinberg dithering designed by Bill Atkinson at Apple Computer, and used in the original Macintosh computer. Implementation [ edit ]
Later, the ability to show all of the steps explaining the calculation were added. [6] The company's emphasis gradually drifted towards focusing on providing step-by-step solutions for mathematical problems at the secondary and post-secondary levels. Symbolab relies on machine learning algorithms for both the search and solution aspects of the ...
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