[PROJ] Horner - polynomial solving in 3D

Norman Barker norman.barker at gmail.com
Wed Apr 29 16:54:06 PDT 2026


Hi,

Looking at https://proj.org/en/stable/operations/transformations/horner.html
it mentions the domain being 2D and 3D. I also looked at the code and read
more about Horner and it seems that I can apply Horner on two dimensions
and then the third.

My problem is that I have a moving coordinate frame (in ECEF) that is a
function of time, it is representing a sensor in space. Each frame unit
vector UX, UY, and UZ is specified as the coefficients of a polynomial in
X, Y, and Z (ECEF) that is dependent on time (t).

Using a proj string I am hoping that I can pass in a coordinate `t` to
generate the XYZ coordinates which I can then pass down the pipeline.

Is this possible, if so how do I use Horner with three dimensional data?

Many thanks,

Norman
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