Hi,
I'm not a native speaker of English, I'll try to explain my question clearly.
We can draw an ellipsis in inkscape, and rotate it. When we save it as svg, it is saved as a path, which uses elliptical arc command inside the its d attribute. So, i think this save operation is lossless.
We can draw a rectangle in inkscape too. After intersecting an ellipsis with a rectangle and saving the file as svg, we can find out that the intersection is also saved as a path. However, the elliptical arc command is no long inside the d attribute of the path element. The path is depicted by lines and cubic Bézier curves. Mathematically, an elliptical arc can not be losslessly transformed into a polynomial curve. So, this save, or intersection, operation is not lossless.
My question is, how good the approximation would be? Do we have any control over this, like we do in simplify?
Best regards,