360-degree fringe-projection profilometry of discontinuous solids with 2 co-phased projectors and 1-camera

We describe a theoretical analysis and experimental set-up of a co-phased 360-degree fringe-projection profilometer. This 360-degree profilometer is built using 2-projections and 1-camera and can digitize discontinuous solids with diffuse light surface. A 360-degree profilometer rotate the object a full revolution to digitize the analyzing solid. Although 360-degree profilometry is not new, we are proposing however a new experimental set-up which permits the 360-degree digitalization of discontinuous (piecewise-continuous) solids. The main advantage of using this co-phased 2-projectors profilometer is that self-occluding shadows due to discontinuities are solved efficiently. Previous 1-projector, 1-camera 360-degree profilometers generate self-occluding shadows at the solid discontinuities. Yet another advantage of our new profilometer is a trivial line-by-line fringe-data assembling from all 360-degree perspectives. Finally we used a 400 steps/rotation turntable, and a 640x480 pixels CCD camera. Higher resolutions and less-noisy phase demodulation are trivial by increasing the angular-resolution and phase-step number without any change on our co-phased profilometer. This profilometer may be used to digitize complex real life solids for possible 3D printing. A previous preliminary report of this work was published in the arXiv.org repository http://arxiv.org/ftp/arxiv/papers/1408/1408.6463.pdf .