# MagicPlot Manual

Plotting and nonlinear fitting software

smoothing

# Differences

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 smoothing [Tue Jun 4 00:39:43 2013]Alexander smoothing [Sun Nov 8 12:21:24 2015] Line 1: Line 1: - ====== Smoothing (Pro edition only) ===== - Open Table or Figure or Fit Plot with initial data and select ''Processing -> Smooth'' menu item. The opened processing dialog shows parameters, initial curves (semi-transparent) and smoothed preview. - - {{:smoothing.png?nolink|Smoothing dialog}} - - ===== Parameters ===== - - ''Periodic'' checkbox applies on calculation of first and last //p/2// points. When it is set MagicPlot will take missing values from the opposite end (as if the signal is periodic) to calculate first and last //p/2// points. - - ===== Algorithms ===== - - Two algorithms are available: Central Moving Average and [[wp>Savitzky–Golay_smoothing_filter|Savitzky-Golay method]]. - - ==== Central Moving Average ==== - - Each value //Ak// is replaced with //p//-points average: - - A_k = sum{i=k−{p{/}2}}{k+p{/}2}{a_i}. - - If ''Periodic'' checkbox is not set the first and last //p/2// points are calculated with the same symmetrical formula but with less summands. - - ==== Savitzky-Golay Filter ==== - - A Savitzky–Golay filter essentially performs a local polynomial regression on a series of equally spaced data points. Each data point value is replaced with local polynomial value at this point. - - If ''Periodic'' checkbox is not set, MagicPlot will repeat the values of the first and last points to calculate a polynomial for the first and last //p/2// points. - - ===== See Also ===== - * [[processing]] -