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This is the Pre-Published Version An efficient construction algorithm for RP layered model is proposed based on LDNI. Solid is converted into LDNI representation which is a layered and ordered point cloud. Boolean operation is performed on 1D segment in LDNI. Loops are constructed according to three simple rules. Mesh with 2 million triangles can be sliced in 2.5 seconds. Abstract: In layered modeling for rapid prototyping of products, compromising slicing accuracy and time is adoi:10.1016/j.cad.2011.06.007 fatcat:2bodiisigzbwfcx2yadqlda2im