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This is an old revision of this page, as edited by Zawersh (talk | contribs) at 16:12, 15 May 2006 (Mumford-Shah). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

It seems to me that connectedness for a digital image is rather distinct from just general "connected." I'd be willing to write up something about this, but I'm not sure if it would be seen as a little too specialized? Is this definition of connectedness too esoteric to add to the "connected" page? Wegsjac 04:23, 5 Apr 2005 (UTC)

Can you explain the variables please

If someone is reading this to learn (the only reason to read it that I know of) it might be a good idea to explain what each symbol means in the formula. I think a trend might exist to use the same name across image processing literature, but we uninitiated may not know what mu, Gamma, f, and g represent. Is v for variance? is mu some sort of mean? ar f and g from the fundamental form? or what?

Mumford-Shah

I did some searching and Mumford-Shah appears in a lot of journal papers but I didn't find much reference to it on the web itself, which implies to me that it's a more advanced technique that isn't all that relevant to a general article on image processing segmentation. It also doesn't explain its variables (as mentioned above), and it seems to do more to confuse than to educate. So I'm removing it to here. If someone has any idea what it is, perhaps they could create an article for it, rather than mushing into this article?

Removed from article:

An example of a global segmentation criterion is the famous Mumford-Shah functional. This functional measures the degree of match between an image and its segmentation. A segmentation consists of a set of non-overlapping connected regions (the union of which is the image), each of which is smooth and each of which has a piecewise smooth boundary. The functional penalizes deviations from the original image, deviations from smoothness within in each region and the total length of the boundaries of all the regions. Mathematically,