how to subtract circle from an arbitrary polygon

Posted by George on Stack Overflow See other posts from Stack Overflow or by George
Published on 2010-05-13T06:25:47Z Indexed on 2010/05/13 18:44 UTC
Read the original article Hit count: 309

Filed under:

polygon

|

math

|

subtraction

Given an arbitary polygon with vertices stored in either clockwise/counterclockwise fashion (depicted as a black rectangle in the diagram), I need to be able to subtract an arbitrary number of circles (in red on the diagram) from that polygon. Removing a circle could possibly split the polygon into two seperate polygons (as depicted by the second line in the diagram).

I'm not sure where to start.

http://www.freeimagehosting.net/image.php?89a0276d9d.jpg

© Stack Overflow or respective owner

Related posts about polygon

Point in polygon OR point on polygon using LINQ

as seen on Stack Overflow - Search for 'Stack Overflow'
As noted in an earlier question, How to Zip enumerable with itself, I am working on some math algorithms based on lists of points. I am currently working on point in polygon. I have the code for how to do that and have found several good references here on SO, such as this link Hit test. So, I… >>> More
Breaking a concave polygon into convex ones.

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm using a game physics library (Box2D) which only supports convex polygon shapes. However, I'd like the level builder to be able to just specify concave polygons without having to worry about that. So, how can I automatically break apart a concave polygon into convex ones (or even all triangles)… >>> More
AndEngine Physics Editor loading level

as seen on Stack Overflow - Search for 'Stack Overflow'
I have created a .pes file using PhysicsEditor and imported as xml and have added to my project. When I parsed it and created bodies, it is showing strange behavior. The mapping of bodies that I created in PhysicsEditor is totally different what I see in my application means the shapes I draw in PhysicsEditor… >>> More
A Simple Geo fencing using polygon method

as seen on Code Project - Search for 'Code Project'
A Simple Geo fencing using polygon method >>> More
Polygonal Triangulation - algorithm with O(n log n) complexity

as seen on Game Development - Search for 'Game Development'
I wish to triangulate a polygon I only have the outline of (p0, p1, p2 ... pn) like described in this question: polygon triangulation algorithm and this webpage: http://cgm.cs.mcgill.ca/~godfried/teaching/cg-projects/97/Ian/algorithm2.html I do not wish to learn the subject and have a deep understanding… >>> More

Related posts about math

how to make a function recursive

as seen on Stack Overflow - Search for 'Stack Overflow'
i have this huge function and i am wondering how to make it recursive. i have the base case which should never come true, so it should always go to else and keep calling itself with the variable t increases. any help would be great thanks def draw(x, y, t, planets): if 'Satellites' in planets["Moon"]: … >>> More
Sunrise / set calculations

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying to calculate the sunset / rise times using python based on the link provided below. My results done through excel and python do not match the real values. Any ideas on what I could be doing wrong? My Excel sheet can be found under .. http://transpotools.com/sun_time.xls # Created on… >>> More
Android-Java: Constructing a triangle based on Coordinates on a map and your bearing

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi Guys, I'm constructing a geolocation based application and I'm trying to figure out a way to make my application realise when a user is facing the direction of the given location (a particular long / lat co-ord). I've got the math figured, I just have the triangle to construct. //UPDATE So… >>> More
Math.max and Math.min outputting highest and lowest values allowed

as seen on Stack Overflow - Search for 'Stack Overflow'
so I'm trying to make a program that will output the sum, average, and smallest and largest values. I have everything basically figured out except the smallest and largest values are outputting 2147483647 and -2147483647, which I believe are the absolute smallest and largest values that Java will… >>> More
Is Programming == Math?

as seen on Stack Overflow - Search for 'Stack Overflow'
I've heard many times that all programming is really a subset of math. Some suggest that OO, at its roots, is mathematically based. I don't get the connection. Aside from some obvious examples: using induction to prove a recursive algorithm formal correctness proofs functional languages lambda calculus asymptotic… >>> More