I am reconstructing a 3-D model for human abdominal artery. I try to

find the center point at each 2-D contour image. Although the contour

is closed, it is not regular circle. I want to know how to define the

centre point and which algorithm can find the center point fastly?

I imagine you are free to define "centre" largely as you please,

though there may well be the constaint that the locus of centres

for your artery should be continuous if the locus of contours is

continuous.

One reasonable definition would be the centre of mass. I strongly

suspect it has the continuity property, though I lack the linguistic

talents to explain why in a pithy one-liner.

As for the fastest algorithms, this will depend almost entirely on

the manner in which the contour is described. For all I know, you

may be relatively free to choose that, too.

1. algorithm to sort a bunch of points which form a closed contour

4. find close points in a point cloud

5. triangle-point triangle-line segment and triangle-triangle closes point question

7. Removig Points That Are Close to Each Other, From a Point Matrix

8. Closing a document without closing Power Point

11. Contouring point data on a map

12. plotting points over contour plot / graph transparency

13. moving plot or contour to a given point

14. Adding points to mesh3D and contour plot

15. making a contour with specific data points

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