Function Repository Resource:

ExtractPlotImageData

Source Notebook

Extract data from a plot image

Contributed by: Hamza E. Alsamraee

ResourceFunction["ExtractPlotImageData"][img]

converts the plot image img to a normalized set of points.

ResourceFunction["ExtractPlotImageData"][img,{xscale,yscale}]

scales the results by xscale and yscale.

Details and Options

The default xscale is based on the image's number of horizontal pixels and the default yscale is 1.

ResourceFunction["ExtractPlotImageData"] takes the mean pixel height of pixels in the same horizontal position.

ResourceFunction["ExtractPlotImageData"] works on a graph of any color on a plain background.

ResourceFunction["ExtractPlotImageData"] is intended to work on images of plots of single-valued functions.

Examples

Basic Examples (3)

Extract data from a plot image:

In[1]:=

Out[1]=

An x-Ray diffraction (XRD) pattern of low-density polyethylene (LDPE) converted to a list of points:

In[2]:=

Out[2]=

Create a Sin plot:

In[3]:=

$plot = Plot[Sin[x], {x, 0, 2 \[Pi]}, Axes -> False]$

Out[3]=

Convert the plot into a list of points such that the points are rescaled:

In[4]:=

Out[4]=

Scope (2)

You can use ExtractPlotImageData on data consisting of points:

In[5]:=

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x8aLUkWS1e8ekmz/LQCgPv8frmvxnw== "], {{0, 293.}, {497., 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], DefaultBaseStyle->"ImageGraphics", ImageSize->{154., Automatic}, ImageSizeRaw->{497., 293.}, PlotRange->{{0, 497.}, {0, 293.}}]\)], PlotRange -> All]$

Out[5]=

The x- and y-scales can be arbitrarily manipulated. Take for example this UV-Vis spectroscopy graph of ZnO nanoparticles:

In[6]:=

(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/9b7e6b57-5536-4c84-80b4-4fd4ce40d669"]

Out[6]=

Applications (2)

The extracted data can be interpolated:

In[7]:=

Out[7]=

In[8]:=

Out[8]=

On sets of points, FindFormula can be used to detect what relationship is found in the data:

In[9]:=

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Out[9]=

Properties and Relations (1)

For smoother data, a GaussianFilter can be applied:

In[10]:=

(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/fa0ca0c3-8a85-4071-a73a-4b5f7e7850b8"]

Out[10]=

Possible Issues (1)

Content in the image other than the curve is treated as data. Here, the "(a)" distorts the average pixel height:

In[11]:=

ListLinePlot[ResourceFunction["ExtractPlotImageData"][\!\(\*
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Out[11]=

Publisher

Hamza E. Alsamraee

Version History

1.0.0 – 14 July 2020

Source Metadata

Citation:
- Golchha, M. C. et al., "Structural and Morphological Analysis of ZnO Nanoparticles Filled Low Density Polyethylene Thin Films." International Journal for Innovative Research in Science & Technology, vol. 4, no. 8, 88–92, 2018.
- Shubha, P. et al., "Use of Honey in Stabilization of ZnO Nanoparticles Synthesized via Hydrothermal Route and Assessment of their Antibacterial Activity and Cytotoxicity." Global Journal for Nanomedicine, vol. 2, no. 2, 37–41, 2017.
- Xu, M. et al., "An in situ spectroscopic study on decomposition of MgSiO3 during the alkali fusion process using sodium hydroxide." New Journal of Chemistry, vol. 38, 1528–1532, 2014.

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Author Notes

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This work is licensed under a Creative Commons Attribution 4.0 International License

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