The French word "glaner" is the verb which means to gather up after a harvest. The above picture, Les Glaneuses" is by Jean-François Millet. Glaneuse is the feminin form of the noun. And, lastly there is glanage.
Glaner means to go out after crops have been harvested and pick up any vegetables laying around. This has always been a traditional activity in France since the Middle Ages. But it was Napoléon who formalized glanage as a right for all citizens. Today, the people of France still have the right to collect left-over harvest from the fields. It's legal for the three days following the harvest. However, if you take any of the crops before they're harvested, that's stealing!
Now, glaner/glanage refers only to the food left on the ground. If one were to pick fruit from the trees or from the vines, that's called grappillage. But it's protected too, by the Napoléonic laws.