graphics - Generate randomly sized non-overlapping disks?

I need to generate an image of $n$ randomly sized but non-overlapping blobs in a fixed rectangular region; for example, a square of 300 pixels.

The blobs could be disks to keep things simple. The non-overlapping part is tricky; this is what I have so far:

Clear @ pair;
pair[n_] := Module[{pts=RandomReal[1,{n,2}]},
    Image @ Rasterize[Graphics[{{PointSize@RandomReal[{0,.5}],Point[#]}&/@pts},
        PlotRange->{{0,1},{0,1}},PlotRangePadding->Scaled[.1]],

        ImageSize->300]->n
]

As you can see the ten disks are overlapping:

Answer

Just a quick modification of the code here,

distinctDisks[n_, range_:{0, 1}, radiusRange_:{0.03, 0.15}] := Module[
     {d, f, p, r},
      d = {Disk[RandomReal[range, 2], RandomReal[radiusRange]]};

      Do[f = RegionDistance[RegionUnion @@ d];
       While[
        r = RandomReal[radiusRange];
        p = RandomReal[range, 2];
        f[p] < r];
       d = Append[d, Disk[p, r]], {n - 1}];
      d]

distinctDisks[25, {0, 5}, {0, 2}] // Graphics

Mathematica graphics

Comments

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