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Surface orientation from a projected grid

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2 Author(s)
Shrikhande, N. ; Dept. of Comput. Sci., Central Michigan Univ., Mount Pleasant, MI, USA ; Stockman, G.

Two simple methods are given for obtaining the surface shape using a projected grid. After the camera is calibrated to the 3-D workspace, the only input date needed for the computation of surface normals are grid intersect points in a single 2-D image. The first method performs nonlinear computations based on the distortion of the lengths of the grid edges and does not require a full calibration matrix. The second method requires that a full parallel projection model of the imaging is available, which enables it to compute 3-D normals using simple linear computations. The linear method performed better overall in the experiments, but both methods produced normals within 4-8° of known 3-D directions. These methods appear to be superior to methods based on shape-from-shading because the results are comparable, yet the equipment setup is simpler and the processing is not very sensitive to object reflectance

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:11 ,  Issue: 6 )