0
votes
1answer
120 views

Intersection line of planes

There are 2 planes: $Q: 2x-y=2$ $R: x-y-z=1$ How do I find the line $p=(1,2,-1)$, which intersects $Q$ and $R$ plane.
1
vote
3answers
98 views

Middle line and parabola between points

How it is simplest equation for this a)LINE that most fit the points T1(1,0) T2(2,0) T3(-1,1) T4(0,1) x= (1,2,-1,0) y= (0, 0, 1, 1) 1= (1, 1, 1, 1) Solving this: you got sistem of 2 equations: ...
0
votes
1answer
29 views

plane vertices from normals and centroid

I am trying to visualize a best fit plane for a set of points which is defined by the normals and the centroid. I have to find the boundary vertices of the plane given the extent of the plane. Is ...
1
vote
0answers
96 views

Fitting a Cylinder Around a Line

Assuming data like the following: ...
9
votes
2answers
1k views

Finding the intersection point of many lines in 3D (point closest to all lines)

I have many lines (let's say 4) which are supposed to be intersected. (Please consider lines are represented as a pair of points). I want to find the point in space which minimizes the sum of the ...
1
vote
2answers
309 views

Fitting data to a portion of an ellipse or conic section

Is there a straightforward algorithm for fitting data to an ellipse or other conic section? The data generally only approximately fits a portion of the ellipse. I am looking for something that doesn't ...
10
votes
3answers
961 views

Best fit ellipsoid

Given a collection of points $P \subset \mathbb R^3$, a crude characterization of the "shape" of $P$ is sometimes given by the principal components. We construct a covariance matrix, e.g., if $P$ is ...