Interactive all-hex meshing via cuboid decomposition

Standard PolyCube-based hexahedral (hex) meshing methods aim to deform the input domain into an axis-aligned PolyCube volume with integer corners; if this deformation is bijective, then applying inverse map voxelized yields a valid hex mesh. A key challenge in these maintain bijectivity of deformation, thus reducing robustness algorithms. In work, we present interactive pipeline for that sidesteps by using new representation PolyCubes as unions cuboids. We begin deforming tetrahedral mesh near-PolyCube whose faces are loosely aligned major axis directions. build optimizing layout set cuboids user guidance closely fit deformed domain. Finally, construct inversion-free pullback from while quality metrics. allow extensive control over each stage, such editing PolyCube, positioning surface vertices, and exploring trade-off among competing metrics, also providing automatic alternatives. validate our method on one hundred shapes, including models challenging past frame-field-based methods. Our reliably produces meshes par or better than state-of-the-art. additionally conduct study 21 participants which majority prefer they make tool ones state-of-the-art This demonstrates need intuitive tools where can dictate priorities their