An enhanced solution method, which is based on the maximum likelihood estimation (MLE) of the projection plane, is proposed. The method utilizes a 2D target and an optimization process to achieve a higher accuracy and noise immunity. The projection plane is parameterized by the laser plane coordinates. The maximum likelihood function is obtained from the stochastic vector of the projection planes in the camera coordinate system. The coordinates of the laser plane are achieved by the optimization process. The MLE method is compared with the original method. The experimental results reveal the relative error reductions of 18.97, 19.81, 21.22, and 21.60% under the test distances of 200, 300, 400, and 500 mm, respectively. Moreover, for the images under noise, the results show the relative error reductions of 20.06, 18.77, 19.64, and 20.35%, respectively. The experimental results suggest that the MLE of the projection plane would be useful to improve the measurement accuracy of active vision in both fundamental research and potential applications.