Threshold on slice using an ellipse

Hello again,

Many thanks for your response. The clip filter with a sphere worked and it was very straightforward. I am having trouble with the Calculator filter. The equation for the ellipse which I am interested in, I entered as follows in the calculator: X^2/(13.8e-3)^2+Z^2/(9.1007e-3)^2=1. But, when I enter Apply, I get error messages which I have pasted below.

I then used:

coordsX^2/(13.8e-3)^2+coordsZ^2/(9.1007e-3)^2=1

That didn’t generate error messages. But the result does not look like anything I expected.
I also found the following thread. I am not sure how relevant it is to the problem at hand: slice along polyline

Just to clarify: Am I supposed to do a clip at Y-normal, and then create the calculator with the elliptical equation, followed by the scalar clip?
sphere.tiff (2.6 MB)
What I want to see is the elliptical equitvalent of the attached plot.

Thank you.
Maziar.