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Laminated Object Manufacturing (LOM) is a popular Layered Manufacturing (LM) technique useful in fabricating parts from a sheet or sheets of laminated stock. Traditional process planning for LOM has several inefficiencies, at the level of path planning of individual layers as well as at the 3D artifact level. In terms of wasted process time, the latter dominates, due to the conservative choice of the use of rectangular waste removal grids. We propose an approach for CAPP in LOM that will exploit several geometric properties of the model to dramatically reduce the waste removal grids. This in turn leads to reduced build-time, with no effect on the build quality. The proposed method uses parting planes similar to those used in mould design in regions external to the part's convex hull, and an octree decomposition in the remaining regions. Additionally, the approach can be used in simultaneously fabricating multiple parts. An integrated CAPP system incorporating these ideas has been developed, and several example parts demonstrate the efficiencies that the system delivers. The LM technology of LOM is useful in building prototype models of large parts. Commercial LOM machines suffer form long build times due to several inefficiencies in their process planning. A large component of these inefficiencies can be eliminated through the use of some process planning and application of geometric tools. Some geometric tools that help in this process have been developed and were discussed in this paper.