Algorithm 1 3D reconstruction of occluded object with camera array using synthetic aperture imaging.

Calibrate camera array; capture image sequence of the occluded object; for each depth o where the occlusion locates do  Shift every camera-view image $F_i$ to reference camera view r at depth o using Equations (3)–(6);  Generate synthetic images focused on depth o using Equation (7);  Label pixels in each depth o using Equations (8) and (9); end for Merge label matrices of all depths together in reference camera view $C_r$ for each camera view $C_i,i=1$ to N do  Transform label matrices $f_r$ from reference camera view r to other views i according to Equations (10) and (11);  Take the exclusive OR operation of $f_i$ and $F_i$ in each camera view using Equation (12); end for for each depth t in which the occluded object is located do  Generate synthetic without-occlusion images that focus on depth t using Equations (3)–(6);  Extract pixels using Equations (13) and (14);  Calculate the coordinate value of each pixel, and convert the image coordinate system to the world coordinate system using Equations (16) and (17);  Save those pixels’ information to a file with Equation (15); end for