In order to improve the speed and accuracy of generating inverse fringes, a method of generating inverse fringes based on Delaunay triangulation is proposed. With this method, the forward mapping relation between projector coordinate and camera coordinate is used. The phase points on camera coordinate compose a set of scattered phase points, with which the Delaunay triangulation mesh is generated. Meanwhile, the phase points on projector coordinate are treated as interpolation points, which are used to find the corresponding Delaunay triangulation. After the interpolation operation is finished, the expected phase values of inverse fringes along vertical and horizontal directions are obtained. With these phase values, the inverse fringes can be further generated. The computer simulation and real object simulation experiments both demonstrate that the above method possesses advantages to improve the accuracy and speed of generating inverse fringes, which makes it has a high application value.