Hello,

I have to second Bruno in noting the shortcomings of the current
camera model.

And my vote is also for implementing a mathematical model that well
describes real life images from real life lenses.

> You are thinking of y = abs(x) = sqrt( x^^2).  The  first derivative
> of y = x is +1 everywhere.
> There are no discontinuities in any of the derivatives of non-negative
> powers of x.

Mathematically you do not map a one-dimensional x in R1 but a two-
dimensional R2 space. For convenience one uses polar coordinates
radius and phi angle but one can transform back into cartesian
coordinates. Now one finds that for odd coefficients this introduces
the sqrt(x^2+y^2) factor and hence some higher (partial) derivatives
at point (0,0) are undefined.

Does it matter in practice: the experience with my Canon A610 is Yes.

I find it limits the alignment quality when doing panoramas. And I
even resort of not using the a and c parameter. Adding a and c locally
improves alignment but at the cost of higher misalignment in areas
without control points.

Recently I had to measure the height profile of a reflective surface.
While the lense self-calibration from partially overlapping pano
photos would have worked well in principle, and the Finetuning
algorithm would have been accurate enough, I estimated the abc
parametrisation to be problematic and the use of solely the b
parameter not accurate enough. In the end I resorted to a non-camera
method.

With a proper lense model the camera would have been a very accurate
angle measuring device and a sequence of only a few photos would have
already recorded all the necessary data including calibration data.

Regards

Klaus

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