Simultaneous Matching of Curves in Three Dimensions

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Simultaneous Matching of Curves in Three Dimensions
Eyal Kishon
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This suggests 15 that we can begin by finding the rotation and translation parameters for one curve only, and then can use the other observed curves to refine this initial estimate.
Accordingly we designate one observed curve from a group to be marked as a 'base' curve, and relate the positions of all other curves to the resulting 'bsise' position. The 'base' curve is shifted along the model curve point by point, and the orientation which gives the best match is computed for every point. It is
...best to use the longest observed curve as a 'base'.
For every starting point of the 'base' curve we can compute the rotation and translation parameters that correspond to the best local match between the 'base' curve and the model, using the feist curve mathing technique presented in Section 2. Then we can apply the same transformation to all other observed curves, and compute their relative positions on the model.
The starting-point coordinates thereby computed are only an approx- imation to the true positions of these points in a global best match, and may not be on the model itself but in some distance from the model curve.


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