A mathematical model to describe the principle of layered manufacturing and
layered fabrication error is presented in this paper. In this model, the l
ayered manufacturing process is characterized by the model decomposition an
d material accumulation. A 3D design model is represented by a set of point
s with sequence functions to correlate the layered processing information.
Iso-sequence planes are defined as the processing layers to collect points
with the same processing sequence and to define the material accumulation a
long its gradient direction. Examples of using the proposed model to descri
be the layered manufacturing to process flat and no-flat surfaces and the d
escription of the layered processing error are also presented.