BUILT-IN MATHEMATICA SYMBOL

ListCurvePathPlot

ListCurvePathPlot[{{x1, y1}, {x2, y2}, ...}]
plots a curve that corresponds to a smooth path through the specified points.

Details and OptionsDetails and Options

• ListCurvePathPlot attempts to reconstruct smooth curves defined by the specified set of points.
• The curves are independent of the order in which points are supplied to ListCurvePathPlot.
• Curves can "fold over", and do not need to have a single value for a given value.
• If the set of points supplied to ListCurvePathPlot follows a given smooth curve sufficiently closely, ListCurvePathPlot will always reconstruct the curve.
• ListCurvePathPlot can generate disconnected curves in certain cases.
• ListCurvePathPlot has the same options as Graphics, with the following additions and changes:
•  ColorFunction Automatic how to determine the coloring of lines ColorFunctionScaling True whether to scale arguments to ColorFunction InterpolationOrder None the polynomial degree of curves used in joining data points MaxPlotPoints Infinity the maximum number of points to include Mesh None how many mesh points to draw on each line MeshFunctions {#3&} how to determine the placement of mesh points MeshShading None how to shade regions between mesh points MeshStyle Automatic the style for mesh points Method Automatic the method to use for interpolation and data reduction PlotRange Automatic range of values to include PlotRangeClipping True whether to clip at the plot range PlotStyle Automatic graphics directives to determine the style of each line
• ListCurvePathPlot yields a curve that fits the data provided, but may not necessarily contain all the points specified by the data.

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

Randomly sample points on a circle:

 Out[2]=

Find a smooth curve through the points:

 Out[3]=

Join the points in the order they were given:

 Out[4]=

Neat Examples (1)Neat Examples (1)

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