Unique among deformer influence objects, lattices are themselves deformable objects. That means that you can create deformers that deform a lattice. For example, you can deform a lattice with a sculpt deformer, and the effect of the deformation on the lattice points will in turn deform the object the lattice is deforming. You can also assign deformation weights to lattice points by creating a cluster deformer for the lattice. Also, you can bind a lattice to a skeleton. When you move the skeleton, the lattice will deform with the action of the joints.
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