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How does Mathematica interpolate the field in ListVectorPlot and ListStreamPlot?

Is there away to adjust the interpolation algorithm or to surpass it?

I tried to changed VectorPoints, but it looks like Mathematica still interpolates the data: 

ListVectorPlot[{{{0, 0}, {1, 1}}, {{1, 0}, {-1, 0}}, {{1, 
    1}, {-1, -1}}, {{0, 1}, {-1, 0}}}, VectorPoints -> 4]
ListStreamPlot[{{{0, 0}, {1, 1}}, {{1, 0}, {-1, 0}}, {{1, 
    1}, {-1, -1}}, {{0, 1}, {-1, 0}}}, VectorPoints -> 4]

enter image description here

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1 Answer 1

Reset to default
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I thought the option VectorPoints -> All gave the possibility to bypass any interpolation where you give explicitly the point and direction vector manually in the list.

ListVectorPlot[
 Table[{{x, y}, {RandomInteger[{-1, 1}], RandomInteger[{-1, 1}]}}, {x,
     1, 20}, {y, 1, 20}] /. {0, 0} -> {1, 1}, VectorPoints -> All]

vector plot

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