Solved

Largest Inscribed Circle in a Closed Polygon

Posted on 2004-04-12
3
698 Views
Last Modified: 2007-12-19
Hi Experts,

Given a set of points that form a closed polygon, how do I determine the largest inscribed rectangle of that polygon?

I've seen examples online for how to determine the inscribed rectangle of a circle or triangle, but I'm

dealing with shapes that aren't necessarily circles or triangles. Is this even possible?

Thanks!

-Me
0
Comment
Question by:CPOsosky
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
3 Comments
 
LVL 27

Expert Comment

by:aburr
ID: 10807451
Your title asks for a circle, your body asks for a rectangle.
-
I think the question as asked will be impossible to answer in general with a finite number of words. The first problem is to draw the polygon. The answer will depend on the order in which the points are connected.
0
 

Author Comment

by:CPOsosky
ID: 10807735
Sorry. Typo in the title.

I'm looking for the largest inscribed RECTANGLE of a polygon.

Here's an example:

Given points A, B, C, D, E

Drawing order goes from

A to B
B to C
C to D
D to E
E to A

The points can have varying distances between them.

Line segments only intersect at the end points.

-Me












0
 
LVL 45

Accepted Solution

by:
sunnycoder earned 250 total points
ID: 10810586
this is a special case for largest empty rectangle algorithms ... It is still an active research topic

http://portal.acm.org/citation.cfm?id=41988&dl=ACM&coll=portal
http://portal.acm.org/citation.cfm?id=767364&dl=ACM&coll=portal

I had worked on largest empty isothetic rectangles but not on largest empty rectangles ... but it is possible and the above links have the algorithms too ... I think you will have to register to view the paper
0

Featured Post

Free Tool: ZipGrep

ZipGrep is a utility that can list and search zip (.war, .ear, .jar, etc) archives for text patterns, without the need to extract the archive's contents.

One of a set of tools we're offering as a way to say thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

How to Win a Jar of Candy Corn: A Scientific Approach! I love mathematics. If you love mathematics also, you may enjoy this tip on how to use math to win your own jar of candy corn and to impress your friends. As I said, I love math, but I gu…
Article by: Nicole
This is a research brief on the potential colonization of humans on Mars.
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…

628 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question