
#1
Sep2710, 12:04 PM

P: 52

I wanted to get opinions on whether solving this problem in a nonnumerical way is realistic, or if someone has the answer, all the better. I have a totally arbitrary ellipsoid (not aligned with any axes) that I can describe by matrix A, like x'Ax=1 is the ellipsoid surface. I have the points describing the primary axes of the ellipse. What I want is to cut the ellipse by a plane at Z=(some value) and get the volume above/below that plane.
One approach that seems potentially doable is to solve for the area of the ellipse generated by a cut at Z=x and then integrate that over the range of interest. How exactly to carry that out is eluding me at the moment though. Thanks for any input. 



#2
Jul1211, 03:49 AM

P: 1

hello ! Were you able to get an answer to your question ?If yes, could you please put it here because i have the same query.
Thank you ! 



#3
Jul1211, 09:47 AM

P: 52

No, never did. Still would like to know though!




#4
Jul1311, 09:09 AM

P: 4,570

Volume of partial ellipsoid cut by plane 


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