You can keep using the demo after the month trial, you just can't export or save data. You can keep measuring distances and viewing things as long as you like. Nothing ever prevents you from taking a screenshot of the program to collect data.
To import your data, you need to do a little math. Your scale bar says that it's 120km across. Loading the map in Photoshop, selecting the scale, copying it, and making a new map from the copy shows that your scale bar is 197 pixels across (for simplicity of the math, I'll declare it to be 200 pixels wide). That means that each pixel in your map is just about 0.6km across (120km/200pix=0.6km/pix). Your whole map is 2000pix by1500 pix, meaning that the map is 1200km by 900km.
For a spherical Earth-sized world (40000 km around at the equator and from one pole through the other and back again), that means that your map is 1200/40000*360=10.8 degrees across and 900/40000*360=8.1 degrees high. Why do you care about that? Because FT's image import assumes that the map edges are specified in degrees. Because we've declared that the map is "flat enough", we don't have to worry about the consideration that FT wants Equirectangular projection images as its input. Because we're only concerned about measuring distances, we can center the image at the equator to reduce errors. If you want to put that image at a specific point in the world, you'll need to reproject that base image using a program such as ReprojectImage (
http://fracterra.com/ReprojectImage.zip ).
Due to a quirk in FT's image process, you need to flip the top and bottom edges to get things upright.
The image below shows how you'd attach your map to an FT world on the left and a measurement across the central lake using FT's ruler tool.
You have a map that already has a scale on it. As described above, your scale can be used to make the map the correct size for a world. If you export from FT to CC3, the scale should be correct for that map. The FT demo is very resolution-limited, so outputting to CC3 from the demo isn't a whole lot of use. You already have a map in Photoshop with the scale on it (that's how you made the JPEG, right)? When the map is imported into F, the original calculations above were done to ensure that FT's understanding of your map was a close match to the information originally expressed in your scale bar.
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