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what means by ring counter of a polygon.. and what means by ring counter = 1 of a polygon? any one can tell me by drawing an example..

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closed as off topic by Andres Caicedo, Arturo Magidin, Aryabhata, Ross Millikan, Qiaochu Yuan Jan 4 '11 at 17:35

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This question makes absolutely no sense to me. Where did you find the expression "ring counter of a polygon"? In any case, I doubt it has anything to do with the tag [rings]. –  Arturo Magidin Jan 4 '11 at 2:00
i am applying 9- intersection model for 2d operations on polygons.. –  model Jan 4 '11 at 2:20
i need to know about ring of polygon..what does it mean "ring counter of polygon"? –  model Jan 4 '11 at 2:21
@model: I have never heard that expression; if you found it in a non-English language and you are trying to translate, I suggest you post the original. If you found it somewhere, then please provide a link to that source. –  Arturo Magidin Jan 4 '11 at 2:25
you means you never heard about 9-intersection model –  model Jan 4 '11 at 2:38

2 Answers 2

up vote 0 down vote accepted

I think you will find of interest the comments on "rings" and other pseudo-geometric objects constituting the nonrigorous geometrical foundations of various spatial reasoning systems: Polygons: the unstable foundation of spatial modeling.

For basic background on the 9-intersection model see: Egenhofer, M. and Herring, J. Categorizing binary topological relationships between regions, lines and points in geographic databases.

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Dear Bill, i have knowledge about 9-intersection model but i am not getting about ring of polygon.. is ring an interior of polygon? –  model Jan 4 '11 at 2:41
@model: Can you please give a reference to text where the phrase "ring counter" is used? –  Bill Dubuque Jan 4 '11 at 2:53
its a best concept about ring og polygon..[technet.microsoft.com/en-us/library/bb895267.aspx] –  model Jan 4 '11 at 2:54
@model: that link doesn't work. –  Bill Dubuque Jan 4 '11 at 2:56
That documentation is complete and utter tripe. Apparently by "ring", they mean "polygon boundary". By "two interior rings", I'm interpreting it as "there are two polygons inside". –  non-expert Jan 4 '11 at 3:08

Given your link, and also this page, it seems that "ring" refers to the boundaries of a plane polygon, which are homeomorphic to circles. "Outside ring" and "inside rings" refer to the outside boundary and to any boundaries surrounding holes on the inside of the polygon (making it homeomorphic to punctured discs). The page does not contain any instance of "counter", but presumably it refers to a "counter" in the sense of computer science: an inner count of how many 'rings' are being specified for the polygon ($n+1$, where $n$ is the number of "holes"). Your question seems to me to be off-topic.

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@model: "Ring" is not a good word to use with mathematicians. You mean "boundary". And you do not link to a "paper", you linked to a wiki page that is not mathematical. In any case, it does not seem to be a mathematical question; your question should be addressed at whoever the programmer in question was. You do not have a mathematical question. –  Arturo Magidin Jan 4 '11 at 4:23
ahhan ok ok sorry... –  model Jan 4 '11 at 4:34
ok than i should delete this question.. thanks... –  model Jan 4 '11 at 4:36
that means always ring counter will be 1 because every polygon have boundary.. ring counter of polygon cant == 0 . it must be 1. if ring counter of polygon=0 means its nota a polygon.. it may be a lien string. –  model Jan 4 '11 at 4:47

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