ListCurvePathPlot
ListCurvePathPlot[{{x1,y1},{x2,y2},…}]
plots a curve that corresponds to a smooth path through the specified points.
Details 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: [List of all options]
-
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 PlotTheme $PlotTheme overall theme for the plot ScalingFunctions None how to scale individual coordinates - ListCurvePathPlot yields a curve that fits the data provided, but may not necessarily contain all the points specified by the data.
- Possible settings for ScalingFunctions include:
-
sy scale the y axis {sx,sy} scale x and y axes - Common built-in scaling functions s include:
-
"Log" 
log scale with automatic tick labeling "Log10" 
base-10 log scale with powers of 10 for ticks "SignedLog" 
log-like scale that includes 0 and negative numbers "Reverse" 
reverse the coordinate direction "Infinite" 
infinite scale -
AlignmentPoint Center the default point in the graphic to align with AspectRatio Automatic ratio of height to width Axes False whether to draw axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} style specifications for the axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic ColorFunction Automatic how to determine the coloring of lines ColorFunctionScaling True whether to scale arguments to ColorFunction ContentSelectable Automatic whether to allow contents to be selected CoordinatesToolOptions Automatic detailed behavior of the coordinates tool Epilog {} primitives rendered after the main plot FormatType TraditionalForm the default format type for text Frame False whether to put a frame around the plot FrameLabel None frame labels FrameStyle {} style specifications for the frame FrameTicks Automatic frame ticks FrameTicksStyle {} style specifications for frame ticks GridLines None grid lines to draw GridLinesStyle {} style specifications for grid lines ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels etc. ImageSize Automatic the absolute size at which to render the graphic InterpolationOrder None the polynomial degree of curves used in joining data points LabelStyle {} style specifications for labels 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 PlotLabel None an overall label for the plot PlotRange Automatic range of values to include PlotRangeClipping True whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic the final display region to be filled PlotStyle Automatic graphics directives to determine the style of each line PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} primitives rendered before the main plot RotateLabel True whether to rotate y labels on the frame ScalingFunctions None how to scale individual coordinates Ticks Automatic axes ticks TicksStyle {} style specifications for axes ticks
List of all options
Examples
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Wolfram Research (2008), ListCurvePathPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListCurvePathPlot.html (updated 2022).
Text
Wolfram Research (2008), ListCurvePathPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListCurvePathPlot.html (updated 2022).
CMS
Wolfram Language. 2008. "ListCurvePathPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/ListCurvePathPlot.html.
APA
Wolfram Language. (2008). ListCurvePathPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListCurvePathPlot.html