Fast software for box intersections
A. Zomorodian, H. Edelsbrunner, International Journal of Computational Geometry and Applications 12 (2002) 143–172.

Adaptive simplicial grids from cross-sections of monotone complexes
H. Edelsbrunner, R. Waupotitsch, International Journal of Computational Geometry and Applications 10 (2000) 267–284.