Extract points from an interpolated curve (not a function)

[joshmccraney]

Hi PF!

I have the given data points here

data = 
{{1.92, 0.74}, {2.32, 1.36}, {2.44, 1.88}, {2.52, 2.08}, {2.68, 
  1.92}, {2.64, 1.4}, {2.46, 0.78}};

and the following plots the correct interpolation

Show[{ListLinePlot[{data}, InterpolationOrder -> 3], 
  ListPlot[\[Lambda]cplx1]}]

but I don't know how to extract points along this curve. If I try this

f = Interpolation[data];
Plot[f[x], {x, 1.92, 2.6}]

the plot is terrible:

Any ideas how to extract several points from the correct function?

 

[Dale]

It looks like the data points represent a curve in a 2D space parameterized by a single unspecified parameter. So the points are {x[t],y[t]} with t unspecified.

Then your interpolation is y[x].

 

[joshmccraney]

Just thought this exact point! Got it working now, thanks Dale!

 

[Dale]

Just thought this exact point! Got it working now, thanks Dale!

What is your new code?

 

[joshmccraney]

What is your new code?

My ultimate goal was to import into MATLAB. I was having difficulties with the interpolation, but realized (as you pointed out) that the plots didn't know which order to interpolate, and that including the third coordinate does so nicely. So I did not use Mathematica for plotting, but exported the points into MATLAB. Thanks so much for your help!