Why 3D Level?
Replace physical scale with structural rank
Relying on absolute physical scales leads to "semantic-scale decoupling" because objects of the same class often vary in size. At a fixed scale, a large car might be segmented into multiple parts, while a smaller car remains entirely intact. This creates an unaligned and incomplete hierarchy that requires exhaustive manual tuning.
To build an accurate 3D semantic tree, LEGO shifts from manual physical scales to intrinsic structural levels. A structural level is a consistent compositional rank invariant to absolute size. As shown on the right, LEGO ensures both large and small cars are parsed into identical semantic tiers simultaneously, guaranteeing an aligned and intact hierarchy for automated reasoning.