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ellipfit, circfit

Fitting a circle or an ellipse on 2D given points
(562 downloads for this version - 1319 downloads for all versions)
Details
Version
2.0
Author
Samuel Gougeon
Maintainer
Samuel Gougeon
Categories
License
Supported Scilab Version
5.0
Creation Date
May 12, 2015
Description
            Runs on all platforms: Windows, Linux, Mac OS

-->ellipfit

function [Xc, Yc, a, b, g] = ellipfit(Xp, Yp, Po)
 ellipfit: Looks for the best circle or ellipse fitting some given 2D data
points

 CALLING SEQUENCES:
 ellipfit             // Displays this help
 ellipfit circle      // Runs a randomized circle-fitting demo.
 ellipfit ellipse     // Runs a randomized ellipse-fitting demo.

 [xc, yc, r]       = ellipfit(Xp, Yp [,Po]) // fits data with a circle
 [xc, yc, a, b]    = ellipfit(Xp, Yp [,Po]) // fits data with a right ellipse
 [xc, yc, a, b, g] = ellipfit(Xp, Yp [,Po]) // fits data with a tilted ellipse

  PARAMETERS:
   Xp: Row or column of abscissae of data points
   Yp: Row or column or ordinates of data points (same length than Xp)
   xc, yc: Coordinates of the center of the best fitting circle | ellipse
    r: Radius of the best fitting circle
    a: Horizontal radius of the best fitting ellipse
    b: Vertical radius of the best fitting ellipse
    g: Tilt angle, on [0, 90]�
   Po: Optional explicit vector of initial parameters (best guess).
       It may have from 1 to 5 elements, in this order:
       [xc0 yc0 r0]  or  [xc0 yc0 a0 b0 g0]
       The number of expected output parameters chooses the fitting type.

 CHANGES 1.0 => 2.0
 ------------------
  - Tilted ellipses can now be fitted.
  - The type of fitting is now set by the number of expected output parameters.
  - Initial parameters: Automatic first guess improved a lot.
  - Constrains on parameters added (automatic guess).
  - Demo improved and updated
            
Files (2)
[8.57 kB]
Miscellaneous file
ellipfit() macro. Randomized demos are included (see the description hereabove)

* MAKE IT AVAILABLE in EVERY SESSION: Click here to see HOW TO

* Get help: Enter "ellipfit" without parameters 

[10.44 kB]
Screenshot
Small screenshot for thumb (from the demo)
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