Igneous classification refers to the categorization of igneous rocks based on their origin, texture, and mineral composition. This classification helps in understanding how the rocks formed, whether from cooling magma beneath the surface or lava erupting at the surface. Intrusive igneous structures, such as plutons and batholiths, play a key role in this classification by illustrating how these rocks solidify slowly over time, leading to larger crystal formations compared to their extrusive counterparts.