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Jun
21
awarded  Popular Question
Nov
5
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Sep
24
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Mar
13
awarded  Popular Question
Jun
1
comment Moment of inertia of an ellipse in 2D
Awesome! Thank you. It's been a while since I've had to integrate anything nontrivial.
Jun
1
awarded  Supporter
Jun
1
accepted Moment of inertia of an ellipse in 2D
Jun
1
asked Moment of inertia of an ellipse in 2D
Dec
8
comment Analytically compute signed distance of ellipsoid
I'm actually interested in the signed distance close to the surface, so this won't work for me, but thanks for the idea!
Dec
8
awarded  Scholar
Dec
8
comment Analytically compute signed distance of ellipsoid
Looks like it's harder than I thought! I'm doing some analysis of surface curvature which I get from doing finite differences on the signed distance field and was hoping this would be an easy example to play with. If there's no closed form solution, I think I'd initialize the cells that contain the surface and then use fast marching to propagate the field. I suppose I could also probably do the differentiation analytically for an elipsoid. Thanks!
Dec
8
accepted Analytically compute signed distance of ellipsoid
Dec
8
awarded  Student
Dec
8
comment Analytically compute signed distance of ellipsoid
Wikipedia reference: en.wikipedia.org/wiki/Signed_distance
Dec
8
comment Analytically compute signed distance of ellipsoid
Sure. The signed distance is the distance to the closest point on the surface. For points inside, this is negative, and outside the object it is positive (that's the signed part). The surface itself is the 0-level set of the signed distance function (all the points where the distance to the surface is 0). Does that help?
Dec
8
asked Analytically compute signed distance of ellipsoid