Point-by-Point Generation Algorithm for B-spline Curves in Two-Photon Fabrication

In a two-photon femtosecond laser system of three- dimensional micro-fabrication, a model of micro-device is fabricated layer by layer. For each layer, it is fabricated point by point along its contours of cross-sections. So it is necessary to generate process points one by one along the contours. In this paper, the contours of cross section of a model are supposed to be B-spline curves. An efficient algorithm is presented to generate process points for B spline curve. In the proposed algorithm, the parametric increment is adjusted based on the estimation bounds of second derivative.