Re: overlapping area of two ellipses
- From: gudi <mathma18@xxxxxxxxxxx>
- Date: Wed, 3 Sep 2008 01:56:47 -0700 (PDT)
On Sep 2, 9:54 pm, fatih.arslan....@xxxxxxxxx wrote:
I have two ellipses, which I know their centers, axis a and axid b and
rotations for each of them. Is there any analytical formula for
calculating overlapping region?
Like Ellips1: center(x,y)=(10,20) axis a=5 axis b=4 rotation=30 degree
Ellps2: center(x,y)=(20,30) axis a=4 axis b=5 rotation=40
degree
(rotation is clockwise)
PS1: Even if I could not find the exact area, a solution which
approximates the overlapping area is ok. Because I am writing a C++
code, and I just have to compare the overlapping areas of different
ellipses...So if I can find a reasonable approximation, it is ok...
PS2:If you do not have time or patience to write, you can give me
references...It will be very good...
Thank you
With respect to suitable parameter, line integral along required
contour gives 2*Area = Int[x dy + y dx].
Narasimham
.
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