Dear Josefa,
the sewing experts can surely explain this in great detail. From a layperson’s perspective, I’d describe it like this...
Back when I needed a quick fix, I used to iron patches onto the worn-through knees or elbows of my kids’ clothes. The heat from the iron melted the adhesive on the back of the patch, bonding it to the fabric fibers. These patches come in many beautiful designs, so today they’re no longer just used out of necessity, but also ironed on for decorative purposes.
Iron-on interfacing is a lightweight fabric (sold by the meter) with a coating on one side. When pressed with a hot iron, the coated side fuses with the fabric placed on top of it. It comes in different thicknesses. You can use it to reinforce a fabric so it has more structure and holds its shape, for example, on blouse collars. I used iron-on interfacing to reinforce the bed sheets in my doll’s bed. This keeps the thin cotton fabric flat and permanently in shape.
Best regards, Ina