I thought of this back on my last project, but hadn't tried it until today. I'm making a simple template to rout an arc into the top and bottom rails of my cookbook shelf units, but unlike the previous project, this arc is concave.
To make a long story short, I used a saber saw to cut it to within perhaps an eighth of the final line. Then I used a straight file to get pretty close. But for the fine tuning I took a block of scrap (actually chipboard, I think it may have been packing material) about 1" thick and filed one *edge* into a very approximate curve. I used spray adhesive to attach a strip of 60 grit sandpaper to the curved edge.
Now I had a block with a curved sanding edge, but a smooth bottom that made a 90 degree angle with the curved edge. With the mdf template flat on the bench, I was able to slide the block along the edge of the template, concentrating on the areas that weren't quite right, but keeping a square corner at all times.
This video is terrible (tip: don't rest the camera on the surface you're working on, especially if it's just a board on saw horses) , but I think it demonstrates the concept.
If the usual rule holds, here's where I find out that I have once again "discovered" a well-known technique. Anyone want to be the first to tell me?