This video shows the process of turning graphics, starting with a design as a Scalable Vector Graphics file, into a custom-made circuit board. As an example I show a circuit board badge that I made for the members of my local ham radio club, the Riverside Radio Amateurs.
I used Inkscape to covert the original SVG file into separate image files for the circuit board layers.
To prepare the circuit board design I used Eagle, which Autodesk licenses free for non-commercial use with boards up to 100mm x 80mm.
My PC boards were made by Elecrow, and I have been satisfied with their prices and quality. Before settling on Elecrow, I used PCBShopper to compare prices and reviews of many different PC board manufacturing services.
Also see Building with Surface Mount Devices for more info about building custom circuit boards using surface mount devies.