How to apply an interpolated vector function to transform a region?

Questions
1

Hi! I’m trying to apply an interpolated vector function (outputs and inputs in two dimensions) to transform a region. I’m running into an issue where instead of applying the transformation, mathematica seems to just ouput exactly what I wrote in the code. I think this happens when the headers of the objects input aren’t correct, but I don’t think there’s anything wrong with my input–the interpolated function is a function exactly as the TransformedRegion[] function requires. I’ve tried defining functions from the interpolated data many many different ways, but none have worked. Here’s the snippet of the code that isn’t working.

i=4
data = Table[{groupedCellCentroidListPre[[j]][[1]], 
    groupedCellCentroidListPre[[j]][[2]],
    groupedCellCentroidListPost[[j]]}, {j, indeces}];
stretchFunction = Interpolation[data, InterpolationOrder -> All]

stretchFunction[560, 777]
TransformedRegion[groupedCellRegionListPre[[i]], stretchFunction]

All the lists are valid lists of vector data points. Here’s the output to that code:

code.png
code.png1636×496 34.6 KB

If anyone knows how to help with this it would be greatly appreciated! Thank you!

groupedCellCentroidListPost.csv (69.6 KB)
groupedCellCentroidListPre.csv (69.6 KB)

2

I can’t actually do any debugging since you didn’t provide all your definitions (so I can’t actually run your code). However, TransformedRegion doesn’t display the region by default. If you want to display the region, wrap it in Region or RegionPlot.

3

Ok, I’ve updated the post with the relevant variable initializations as csv’s. I wasn’t sure how else to show them on the post. This is the output from wrapping in region plot:

5933codeoutput.png
5933codeoutput.png1816×783 56.1 KB