0
votes
0answers
25 views

Metric for movement in 2D space

I have a set of points that represent the coordinates of an object moving in the 2D space at different points in time. Using this points I want to get a "measurement" that will describe the general ...
1
vote
1answer
58 views

regression on circular data

How would one design a regression where the dependent variable is measured in degrees on a circle? The dependent variable is on the range [0, 360), and the independent variables are demographic ...
0
votes
1answer
213 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
127 views

Middle line between points

How can we calculate 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) $ $1= (1, 1, 1, 1)$
0
votes
1answer
50 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
136 views

Fitting a Cylinder Around a Line

Assuming data like the following: ...
10
votes
2answers
3k 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 ...
2
votes
2answers
528 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
1k 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 ...