This dissertation discusses development of the optical system that performs digitalization of surfaces by projecting non-coherent coded light patterns. The aim of this paper is development of the flexible system that could utilize arbitrary number of cameras that will have the possibility of altering external calibration parameters. System should be able to adapt to the scanned object, require lower number of projections to digitalize object compared to similar systems, and increase the spatial resolution without the need for the actual camera resolution increase. The need for the special planar calibration objects will be eliminated by providing means to calibrate multi camera system with freeform object. The utilization of bundle adjustment method provided means to calibrate and model multiple camera system with variable external calibration parameters. The possibility of changing camera orientation led to a greater freedom when it comes to adjusting projection system to the measurement task. It is experimentally demonstrated that four camera system can be calibrated by using measuring object as free-form calibrating object. Increased number of cameras led to balancing internal calibration parameters, whose convergence is faster when utilizing free-form calibration object. Proposed absolute method of determining stereo pairs, for cross-projected temporal phase shifting and Gray code patterns, eliminates the need for twofold phase image scanning and the influence of discontinuities. Stereo pair indexing is speed up and each pixel in utilized cameras can be coded by unique number, regardless of neighboring pixels and cameras. By combining amplitude filtering of partial phase images and gradient filtering of absolute phase images critical image areas were detected and removed. That reduced number of stereo pair identification errors thus reducing number of outliers. By introducing 1,2,3,4 analysis, spatial resolution and surface details definition are improved. Triangulation in 4-3-2 order allowed determination of object points that are not at the same time visible in all utilized cameras. Combination of both methods made possible to digitize points that are partially occluded by surface artifacts. Conducted experiments demonstrated that the increase of number of utilized cameras and the possibility to vary their external parameters increased surface digitalization completeness by reducing number of projections, compared to two or single camera systems.