Hey ferdinand,
I mixed different questions - I'll keep to the theoretical part to keep the Post relevant to the original question.
I appreciate the informative post as always. 
Parametric concept of a spline is clear to me -> that's why i asked about "C4D can not get more precise than a 0° degree line object ?" which was formulated to lose as 0° is mathematical problematic? and I know 0.1 would be better. sorry about that.
The tip about spline 'Adaptive' setting was a good hint, I never use it in work so I forgot about it.
So to summarize regarding my question.
The Line object always samples what the user has set in the spline settings and not by a unknown internal setting (for example to give good viewport performance, or nice equal sections)
And its a better fit for my application, hence there is no "linear transport" shenanigans going on.
And if I want to display a high resolution of my calculation, I make an internal copy of that spline and edit the spline settings, instead of sampling a low division spline with spline helper.
Normalization / Jagged lines:
I use Menger-Krümmung. -> will open a new topic.
Your code might come in handy when I'll extend the plugin to polygon meshes.
...
...
...
Remark
as humans cannot see that level of detail.
I have to disagree on this topic. As a tell tale we import CAD data here into C4D to evaluate the work of the engineers.
Not long ago I said to our surface engineer. "take a look at the end of that surface something feels off, it looks like the surface is lifting" -> The engineer reportet back "you just spoted a 0.001mm surface deviation of an unconstrained spline ending I did not set."
We could argue that the seen result was in fact not 0.001mm but perhaps to surface setup more than 1mm, (or by some rounding error C4D normal tag shading where continuous and then stagnant for 1 pixel) but my point is settings in precision are important and carry through till the final product. Even though a setting of 0.1° for a spline might might be unsuitable in most cases (rendering, performance, ...) it is not for evaluation.
So even C4D and all that rounding / conversion / floating point precision might look like unrealiable, unecessary or even esotheric it caries through to a certain degree and its more reliable than you think.
(Yes we evaluate in the original CAD Program, but the tale is that I saw something even after importing it into C4D)
As reference to why I need this:
Blender Plugin: Surface Diagnostics - Josef Ludvík Böhm
Thank You
![2025-10-27-Cinema 4D 2025.2.1 - [Untitled 1 _] - Main_001066.png](/forum/assets/uploads/files/1761567924411-2025-10-27-cinema-4d-2025.2.1-untitled-1-_-main_001066.png)

![2025-02-18-Cinema 4D 2025.1.2 - [Untitled 2 _] - Main_000813.png](/forum/assets/uploads/files/1739876590252-2025-02-18-cinema-4d-2025.1.2-untitled-2-_-main_000813.png)




