3-D Reconstruction of Binocular Vision Using Distance Objective Generated From Two Pairs of Skew Projection Lines

A reconstruction method is provided to improve the measurement of the binocular vision. The image projections of the 3-D point on the 3-D reference are analyzed by the multiple view geometry. The Plücker coordinates of the two screw projection lines are constructed by the image points. The line segment perpendicular to two projection lines is generated from the direction vector and the end points of the line segment. As the bilinear products of the Plücker coordinates between the perpendicular line and the projection lines are zero, the end points of the perpendicular line segment are parameterized by the Cramer's Rule. The reconstruction error of the distance between two parameterized 3-D points is employed as the minimized objective of the cost function. The impact factors and the enhancements of the reconstruction accuracy are investigated by the experiments comparing with the original method. The method contributes the error descents of 27.19%, 38.29%, 19.01%,and 16.31% for the test lengths of 50, 100, 150, and 200 mm. Therefore, the results demonstrate that reconstruction method of the binocular vision provides the higher accuracy and application potentials.