Methods for creating three dimensional lattice structures in computer-aided design models. A method includes receiving a solid model containing a plurality of boundary surfaces for a void region, computing a bounding box of the solid model and a plurality of grid points on an axis-aligned grid within the bounding box, creating a lattice cell layout for a lattice structure within the void region, computing an implicit model defined by a scalar value for each of the grid points on the axis-aligned grid, extracting the lattice structure in the solid model based on the implicit model.
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