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I did this in Bryce 3D - The Terrain Editors in Bryce 2 and 4 are almost identical to this, for all that matters.
Things To Do With Fractals In Bryce
Chapter 1: A Simple Mountain

All we need for the example above is square colourful Fractal image, not too complex. Complexity can very easily turn into a mess.
I coaxed the beauty below out of KPT Fraxplorer, my favourite Fractal program. It shelters me from the mathematics.

The original is 1024 pixels square. The larger I make them, the smoother the resulting terrain will be. And RGB Colour is the prefered mode. It has something to do with the way the Terrain Editor makes up 16-bit per pixel greyscale images.
Next, I create a Terrain in Bryce, and with the Terrain selected, I go to the Terrain Editor where I change the Grid to 256 square before I paste or import my Fractal. If I use the Load button for importing I have to drag the Blend control all the way to the left to get rid of all traces of the original random terrain. Please, don't use the example above, unless you want to study how compression artefacts translate into terrain effects...

I then go to the "Elevation" section of the Terrain Editor and use the Gaussian Edges control to give the "thing" some kind of a mountain shape. I also hit the Smoothing control once or twice, clip the bottom of the terrain using the Clipping Bracket, and hey presto, I'm done in the Terrain Editor.

back to the main working window, and then a trip to the Materials Lab and the 2D Texture Editor...
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