Accurate and efficient algorithm for simulation of fringe projection system

Virtual fringe projection system with nonparallel illumination based on iteration

“…Comparing the calculated height with the preset value, we obtain the error distribution, (figure 7(b)). The profile of the height error along the middle row (figure 7(c)) shows that the error values are basically below the preset iteration threshold value of 0.005 mm, which exceeds that of existing methods [6][7][8][9]. But at the edge area where the gradient is not continuous, the iteration will not converge to the preset value to cause larger error.…”

“…Duo Zhou 1 , Zhangying Wang 1 , Nan Gao 1 , Zonghua Zhang 1,2 and Xiangqian Jiang 2 expression relating phase to height is derived. In most explicit calibration methods [1][2][3][4][5][6][7][8][9][10][11][12][13], the system configuration should meet the following three conditions: (a) the optical centres of the camera and projector must be set parallel to the reference plane; (b) the optical axis of the camera must be perpendicular to the reference plane; and (c) the optical axes of the camera and projector must be coplanar and their intersection point is on the reference plane. However, actual systems are seldom set up in accordance with these conditions, and a universal calibration method therefore is needed.…”

“…The challenge of VFPS is to compute intersection points of the reference plane or object surface and rays emitted from the pixel units of a projector. Existing VFPSs use parallel illumination to simplify this problem and form fringe patterns with uniform periodicity onto a reference plane [9][10][11][12][13][14][15][16]. However, because the projector's optical axis is inclined at an angle, nonparallel rays will form an irregular pattern with no consistent periodicity on the reference plane [17,18].…”

“…However, because the projector's optical axis is inclined at an angle, nonparallel rays will form an irregular pattern with no consistent periodicity on the reference plane [17,18]. Existing methods to compute intersection points can be classified as either iteration methods [9][10][11] or ray-tracing methods [14][15][16][17]. The ray-tracing methods inherently introduce numerical calculation defects and normalization problems that create artefacts [19].…”

Measurement Simulation System of Fringe Projection Profilometry Based on Ray Tracing

“…Yingchun et al [11] proposed an FPP simulation system based on inverse ray tracing to simulate the modulation process of structured light field. Li et al [12] improved the calculation efficiency and accuracy of the above system. Haskamp et al [13] developed a virtual measurement system based on ray tracing, but the simulation of lens defocus was not sufficient.…”