关键词: 快速成型, 切片轮廓线, 三角面片, 浮点运算, 近似平行边

Abstract: In most STL model slicing algorithms, because of the losses of accuracies in floating-point operations, some wrong intersection lines generally existed when computing intersection lines of the triangle facets and the tangent planes in the case of one edge of a triangle are very close to the tangent planes, even some errors can not be repaired. This dissertation proposes a slicing algorithm based on a local topology to solve such problems. Extract all facets caused errors to establish a topology, then replace intersection lines with the projections of near edges. This algorithm can eliminate wrongs of lost and redundant edges of the slice contour due to errors of floating-point operations. The experiment results show that the algorithm can get a correct slice contour through simple calculations without any repairs.

Key words: rapid prototyping, slice contour, triangle facet, floating-point operation, approximate parallel edges