Abstract

It is shown that, in comparison to the results obtained from a conventional least squares approach, a total least squares solution leads to significant improvements in the geometry and appearance of images synthesised in a linear combination of views procedure. Use of the total least squares criterion is appropriate when errors on the control points are independently and identically distributed between the basis images and the target image being synthesised. When this is not be the case it is pointed out that the generalised total least squares procedure should be used. A synthetic object is used to evaluate the improvement in geometric accuracy obtained by use of the total least squares solution in comparison to a classical least squares method. Simulated and real images of laboratory test objects are similarly used to illustrate the improvement in appearance of images reconstructed by means of the total least squares procedure.

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