Orientation of ellipsoid

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Sakshi 2011-6-13

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https://ww2.mathworks.cn/matlabcentral/answers/9385-orientation-of-ellipsoid

评论： Amin Ataei 2020-12-18

Hello, I am using ellipsoid function to represent an ellipsoid graphically. The input list requires me to enter the coordinates of the centre of ellipsoid and its semi-axes. There is no input for the orientation of the axis of the ellipsoid with respect to the coordinate system. Is there any way, this can be incorporated if my ellipsoids are at angle with respect to x, y and z axis.

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采纳的回答

Matt Fig 2011-6-13

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/9385-orientation-of-ellipsoid#answer_12917

在 MATLAB Online 中打开

See the help for the ROTATE function.

For example:

[x, y, z] = ellipsoid(0,0,0,5.9,3.25,3.25,30);
S = surfl(x, y, z);
colormap copper
axis equal
xlabel('X')
ylabel('Y')
zlabel('Z')
pause %  Push return to see the rotation take place.
rotate(S,[0 0 1],45)

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Sakshi 2011-6-15

Thank you for your time and patience.

Amin Ataei 2020-12-18

after rotation the ellipsoid , how can we check if a given point with its coordinante(x,y,z) is inside of ellipsoid.

If ellipsoid is oriented in main axes we can use the equation from ellipse also :

(x/a)2 + (y/b)2 + (z/c)2 < 1 point is inside ellipsoid

(x/a)2 + (y/b)2 + (z/c)2 > 1 point is not inside ellipsoid

but how can we check the point when ellipsoid is rotated? in this case are all point of ellipsoid rotated and we can not use upper equation anymore , right?

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