Timeline for Nonlinear circle fit with known radius
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Jul 8, 2013 at 15:52 | answer | added | Jean Neige | timeline score: 1 | |
| Dec 2, 2010 at 10:40 | answer | added | user11230 | timeline score: 2 | |
| Dec 1, 2010 at 21:06 | comment | added | Robby McKilliam | There is a big literature on this. Typing 'circle fitting' into google with give you a lot of resources. Most of the approaches I know of deal with estimating both the center and the radius, but they could easily be adapted to estimate just the center if that is what you want. Your question is probably more appropriate for CrossValidated stats.stackexchange.com/questions. You might have better luck there. | |
| Dec 1, 2010 at 20:49 | comment | added | user11230 | I don't need to estimate the radius. Only the circle center. I would imagine that finding the circle with a fixed radius that best fits the data set is the most robust solution. However I was not able to work out the math for this problem. | |
| Dec 1, 2010 at 20:39 | comment | added | user11230 | The "noise" is quite predictable in its positions but is not always present for each measurement. Maybe it would help if I explain the problem a little better. I have about 50 data points in a semicircle, which have been extracted from edges in an image. Let's say the semi-circle ranges from 10-170 degrees. In the middle of the arc, i.e. at about 90 degrees there are some noisy data points in the shape of a bigger circle which has some influence on the final radius. | |
| Dec 1, 2010 at 19:52 | comment | added | Michael Hardy | What sort of noise is there? Is each point supposedly on the boundary perturbed in a direction that need not move it along an arc of the circle? Are you trying to estimate both the center and the radius? Or estimate the center when the radius is known? | |
| Dec 1, 2010 at 19:49 | history | edited | Michael Hardy |
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| Dec 1, 2010 at 19:24 | answer | added | Joseph O'Rourke | timeline score: 1 | |
| Dec 1, 2010 at 16:02 | history | asked | user11230 | CC BY-SA 2.5 |