Computer Vision Pattern Recognition

Handbook of 3D machine vision by Zhang S.

By Zhang S.

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The purpose of stereo camera modeling is to establish mathematically the projection of a point in a 3D scene onto the imaging screens and to establish the relation between the left and right cameras. 3, the imaging screens are placed in front of the pinholes at the symmetric positions for simplicity. Two Cartesian coordinate systems, which are denoted left and right camera coordinates, are established with their origins O l and O r residing at the focal points of the left and right cameras (From now on, we use superscripts l and r to represent elements in the left and right camera coordinate systems, respectively).

5 summarizes the chapter with references for further reading. 2 Principles of Digital Image Correlation It is well known in signal processing that the cross correlation of two waveforms provides a quantitative measure of their similarity. This basic concept has been explored to compare digital images (two-dimensional [2D] waveforms) taken from different viewing directions or at different deformed stages to establish point-to-point correspondence and has been named digital image correlation [1–4].

In an ideal case, the best matching pixel in the right image yields the least SSD error. 2 Scan-Line Optimization The scan-line optimization (SO) method is one of the global matching techniques [13]. The SO technique is very similar to the dynamic programming (DP) technique; however, it differs from the DP in that it does not consider occlusion pixels for cost aggregation. Therefore, its algorithm is simple and intuitive. The basic algorithm of the SO technique is to aggregate the energy of the previous pixel with the cost and continuity functions of the current pixel.

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