Simulation studies for the performance analysis of reconstruction of a line using stereoscopic projections

The process of reconstruction of a line in 3-D space using stereoscopic projections obtains the set of parameters representing the line. This method is widely used in many applications of 3-D object recognition and machine inspection. However in certain applications which require a large degree of accuracy, a performance analysis of the process of reconstruction in the presence of noise in the image planes is necessary. In this paper a set of inverse perspective equations for reconstruction of a line in 3-D space are derived based on coplanarity equations. Simulation studies were conducted to observe the e ect of noise on errors in the process of reconstruction. Performance analysis illustrating the e ect of noise and parameters of imaging setup on errors in reconstruction are presented. Smaller resolution of the image and certain geometric conditions of the line and imaging setup produce poor performance in reconstruction. Results of this study are useful for the design of an optimal stereo-based imaging system for best reconstruction with minimum error.