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how to check if a 3D point is inside a 3D cone

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sruthi s
sruthi s 2018-6-29
评论： Tamoor Shafique 2022-4-7
R = 3; %// radius
H = 1; %// height
N = 100; %// number of points to define the circumference
[x, y, z] = cylinder([0 R], N);
mesh(x+3, y+3, H*z)%cone at(3,3,0)
zlim([0 5])
xlim([0 5])
ylim([0 5])
[EDITED, Jan, Code formatted]

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回答（1 个）

Jim Riggs
Jim Riggs 2018-6-29
1) Define a unit vector, U, which points along the axis of the cone.
2) Define vector VR which points from the cone vertex, V, to the point in question, R. Normalize vector VR to a unit vector Uvr.
3) Take the dot product Uvr dot U. This is the cosine of the angle between VR and U.
4) Take the arc cosine of the value from (3). If this angle is larger than the cone angle, the point is outside the cone.
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Jan
Jan 2018-6-30
@sruthi s: Even in this case Jim's answer is working.
Tamoor Shafique
Tamoor Shafique 2022-4-7
How can we define vector U in matlab with a given vertex to create the cone?

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