Path edges for interpolation output

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I've build the following heatmap using QGis 2.8.2's Raster->Interpolation feature. It looks almost the way I want:



The background layer is Google Maps tiles by using the OpenLayers plugin.

However, as you may see, the outer edges abruptly end, since it's basically a rectangle. I would to produce an output that would not crop the edges like this and would give a more organic output, following the outer points, like the following:



Does anyone know how could I accomplish this with QGis and or related tools?



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