Homework-10
Question 1
You are given the following values of the camera calibration parameters:
f = 2, u0 = 0, v0 = 1
Compute the image location of the following 3D point:
X = 7, Y = 13, Z = 2
Answer:
Question 2
A point at the coordinates (u, v) in the picture is a projection of a 3D point X, Y, Z. Given that the camera
calibration parameters f, u0, v0, and that the 3D point X, Y, Z is on the plane
Z = aX + bY + c,
prove that:
X =
c(u − u0)
f − a(u − u0) − b(v − v0)
=
cx
f − ax − by , Y =
c(v − v0)
f − a(u − u0) − b(v − v0)
=
cy
f − ax − by .
Compute Z as as an explicit function of u, v, a, b, c, f, u0, v0.
Answer
