Linked Questions

18
votes
3answers
4k views

Fitting ellipse to 5 given points on the plane

Five points are required to define a unique ellipse. An ellipse has five degrees of freedom: the $x$ and $y$ coordinates of each focus, and the sum of the distance from each focus to a point on the ...
19
votes
2answers
893 views

Visualization: elliptical insights into data sets…

I was recently reading the following paper on visualization techniques using ellipses to gain statistical insights. Elliptical visualization for looking at correlations has briefly been touched on ...
5
votes
3answers
2k views

Fitting data to a circle with FindFit

I'm currently trying to use the Mathematica's FindFit command to fit a curve of some data to the bottom half of a circle. The data is of the form ...
8
votes
4answers
5k views

How to fit a surface to 3D data in Mathematica?

I have a set of data coordinates which is mostly compatible with an Ellipsoid: {{x1,y1,z1},{x2,y2,z2}, ... , {xn,yn,zn}} Now I want to find the best 3d volume ...
6
votes
4answers
2k views

An easier way to find the properties of an ellipse from its equation?

In this Q&A about fitting an ellipse to a set of points, there are multiple answers that generated general equations of the ellipse, like this one by @ubpdqn: However, the steps to find out the ...
3
votes
5answers
388 views

How to use Mathematica to plot an ellipse given foci and semimajor axis?

How can I use Mathematica (version 9) to plot an ellipse, given the coordinates of its two foci and the length of its semimajor axis, where the major axis is not necessarily parallel to either the $x$-...
13
votes
2answers
214 views

Why BoundingRegion does not work well?

Bug introduced in 8 or earlier and fixed in 12.0.0 The underlying bug is unstable and wrong rendering of Disk[] and Circle[] ...
2
votes
2answers
1k views

Find the values of 3 variables that best fit 6 equations [duplicate]

I have 6 equations ...
8
votes
2answers
182 views

Behaviour of RegionDistance with Ellipse?

The data is: data = {{13, 60}, {36, 35}, {70, 29}, {106, 41}, {118, 72}, {94, 94}, {49, 99}, {24, 85}}; When I try to find a fit circle,So my method is work ...
2
votes
3answers
207 views

How to fit implicit function based on an image in mathematica?

I know how to make a plot given a function, but I don't know how to get implicit function based on an image. For example, I have the image shown below (thumbnail): Full size image import: ...
3
votes
0answers
740 views

Fitting a rotated ellipse to data points [closed]

I have a bunch of x,y scatter data and I am trying to fit an ellipse through them. I understand that this question has been asked before and there are resources for this, e.g.: Fitting ellipse to 5 ...