You paint them out?! Sorry, there is no magic button. You could probably improve things by adding some heavy weight while scanning and stretching the paper. also you need to put something black behind doublesided sources.
I don't know if this would work, but maybe do two scans, without changing any of the scanner's settings, but rotate the original 180 degrees for the second scan. The shadows of the creases will be in the oposite direction relative to the artwork for the second scan. Put bothe scans as layers in one document, rotate and nudge them into align them (Difference mode is good for this), and experiment with the blending modes to get the shadows to "Cancel out".
As the others have said, you have to do a little work. That nature of that work depends on how you want to use the resulting image, but here is one approach:
Convert the image to grayscale.
Apply a levels adjustment to get a decent black & white image.
Work on each of the four figures separately, that is, rectangle select each figure and put it on a separate layer - the rework is easier this way, though not necessary
Make a selection tight to the crease, which is now a black area. Jump that to a new layer and fill with white.
Use your pen tool (or whatever drawing tool you are comfortable with) to fill in the short missing lines.
I've fixed up only the bottom right figure in the image below as an example.
I didn't see this sort of suggestion yet but I have done this for scanning
Put the paper between two pieces of fairly tightly woven pieces of cloth, then using light heat iron them with a regular household iron.
I even used a tiny bit of steam... and got a fair bit of the rinkles out that way.
Of course there was a fair bit of PS work afterwards still, but it did get the largest portion out.
Be very carefull, goes without saying.
Assuming your computer's up to it, it's often helpful to work at a higher resolution than your final output.
A technique that can help with all but the darkest creases is to activate the Dodge tool, set it for Highlights, and paint over the creases. You don't have to make them perfect, but you need to lighten them up as compared to the dark lines in the actual image.
Image - Adjust Color Balance - Yellows, and increase the lightness can help increase contrast.
I showed you yesterday how to move the white point in a Curves operation. That can get you the rest of the way there.
As noted, paint back in any lines that were inadvertently removed or overly lightened. Blur can also be helpful in some cases while cleaning up to smooth things out.
To give you a better idea of what I"m doing. These are iron on transfers that I'm converting to a JPEG. I then can put this on gift cards etc. The wife than color them and also put on glitter. I have a few that are on a 20" x 24" paper. I'm trying to isolate each in it's own file. I do have another option and it's to iron on the transfer to a clean paper and than scan that paper. The iron on's are only good for a few times.
I will have my work cut out for me. There are 10 items on this page and I'm going to make each item a seperate file.