how to calculate a ellipsoid arc and project it onto a plane?

hi,

I have an ellipsoid and a plane( see figure). I want to select a generic point to the surface, and I want to calculate the lenght of the arc going from this point and a selected vertex on the surface--> then I want also to high highlight this line on the ellipsoid..the last step consists in project this point onto my plane.... how to do it?

Answer 1

[darova]

I'd build a plane through 3 points

(X,Y for plane surface and for ellipsoid surface must be the same)

C = contour(X,Y,Zp-Zs, [0 0]);            % use contour to get x,y where Zp - Zs == 0
x = C(1,:);
y = C(2,:);
z =                                       % use plane equation to get z(x,y)

ind = (xmin < x) & (x < xmax) & ...;    % use logical operators to extract points you want