Smoothing

Smoothing

In statistics and image processing, to smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving out noise or other fine-scale structures/rapid phenomena. In smoothing, the data points of a signal are modified so individual points (presumably because of noise) are reduced, and points that are lower than the adjacent points are increased leading to a smoother signal. Smoothing may be used in two important ways that can aid in data analysis (1) by being able to extract more information from the data as long as the assumption of smoothing is reasonable and (2) by being able to provide analyses that are both flexible and robust. Many different algorithms are used in smoothing. Data smoothing is typically done through the simplest of all density estimators, the histogram.

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Famous quotes containing the word smoothing:

    Whale on the beach, you dinosaur,
    what brought you smoothing into this dead harbor?
    If you’d stayed inside you could have grown
    as big as the Empire State.
    Anne Sexton (1928–1974)

    Generation on generation, your neck rubbed the windowsill
    of the stall, smoothing the wood as the sea smooths glass.
    Donald Hall (b. 1928)

    He was always smoothing and polishing himself, and in the end he became blunt before he was sharp.
    —G.C. (Georg Christoph)