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Pattern Recognition and Machine Vision : Stereo Vision and Depth Reconstruction

Let us now consider the case where the solution is overdetermined. Now there are more sets of equations than there are unknowns, which is manifested by A being rectangular, with more rows than columns (i.e. tall and thin). In general, there will be no vector x that satisfies all of the equations. In the absence of a perfect solution, we aim to find a solution that minimizes the square error between the left and right hand sides of Equation 1.