I am confused on a very simple thing, so I need your clarifications. Here is my doubt: I want to find the intersection point of three straight lines. Alternatively, I can find it by using three planes. (Assuming I derived the planes from some point data and contain some outliers)
So for the first case (i.e. for 3 lines case) I think I can first find the intersection point of 2 lines and then take another 2 and so on. then, may be I will get 3 points. Hence, I need some sort of adjustment (e.g. least square) to get the correct point. If I take the 3 planes intersection case, I think I can first select 2 planes and then I can find the intersection line and then get the third plane. Finally, line-plane intersection would give me the relevant point. Maybe the methods that I mentioned are not correct.
So, now I want to know what is the most precise method to get intersection point from
- three lines
- three planes
and what is most precise or both are equal? many thanks