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I have a road shp (or raster) layer, and I'd like to make a new raster layer of each cell is filled with the distance to the nearest road.

Is it possible to compute the layer using QGIS with some function or plugin ?

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You can easily achieve this by first rasterizing the road network using the GDAL tool Rasterize (vector to raster) from the QGIS processing toolbox using a desired resolution. In a second step you apply the GDAL tool Proximity (raster distance) that can be found in the same processing algorithm collection.

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