Path: Common/Graphics
% Finds the vector giving the intersection
of a plane and a sphere.
The normal is
n = ai + bj + ck
The equation of the plane is
a(x-x1) + b(y - y1) + c(z - z1) = 0
where [x1;y1;z1] is a point in the plane.
For example, the xy-plane is
z = 0 which is generated by
a = 0, b = 0, c = 1 and [x1;y1;z1] = [dont care;dont care;0].
If no input arguments are entered it will generate a random plane.
If no output arguments are specified it will plot the intersection.
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Form:
v = IntersectPlaneAndSphere( r, plane, n )
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Inputs
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r (1,1) Radius of sphere
plane (1,1) Data structure for plane
.n (3,1) Normal
.x (3,1) Point in the plane
n (1,1) Half the number of points on the equation of
the intersection ellipse. The default is 50.
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Outputs
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v (:) Data structure
.x (3,n) Coordinates of the intersection
.intersect (1,1) 1 if the plane intersects the sphere
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Common: General/DeBlankLT Common: Graphics/Axis3D Common: Graphics/NewFig Common: Graphics/PltStyle Common: Graphics/XLabelS Common: Graphics/YLabelS Common: Graphics/ZLabelS Common: Quaternion/Q2Mat Common: Quaternion/QTForm Common: Quaternion/U2Q Math: Geometry/Perpendicular Math: Linear/Cross Math: Linear/Dot Math: Linear/DupVect Math: Linear/Unit
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