CODEWITHSUNDEEP
vector3dgeometry
user2286207
user2286207

Reputation: 51

Verify if point is inside an elliptical cone

I am trying to find a way to figure out whether a 3D point P(x,y,z) is in side a cone with an elliptical base or not.

I have given the vertex V(x,y,z), the center of the base B(x,y,z), and the length of the minor and major axis of an ellipse a and b, forming the base of a cone.

Is there any way to get an analytic equation descriping the cone? I found this answer, which handles the problem for a circular cone, however I cannot extend it to work for my problem :(

Upvotes: 1

Views: 594

Answers (1)

ryanm
ryanm

Reputation: 3009

Take the line that goes through V and P, find the intersection point of this line with the plane of the cone base. Test if this intersection point is within the base ellipse.

edit: I've just expanded the comments - what Thomas said.

Upvotes: 3

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