[vtkusers] InverseTransformPoint: no convergence in Thin-Plate Spline

David Gobbi david.gobbi at gmail.com
Fri Sep 29 12:26:52 EDT 2017


Hi Hengda,

It's possible (and actually quite easy) to create a thin-plate spline
transform that is not invertible.  The simplest example of this is when two
of the "source" points map to the same "target" point, but there are other
source & target point configurations that cause the thin-plate spline to
fold back upon itself.

In general, the best way to ensure that the thin-plate spline is
well-behaved is to make sure that the control points are not too close to
each other.

 - David


On Fri, Sep 29, 2017 at 10:00 AM, Hengda He <hh2699 at columbia.edu> wrote:

> Hi VTK Users
>
> When I am using VTK: vtkThinPlateSplineTransform Class, sometimes there is
> warning like "InverseTransformPoint: no convergence". Why does this happen?
> And when I check the transformed volume, I found holes at some place.
>
> Thank you!
>
> Hengda he
>
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