27 Questions
What is the origin of the coordinate system (O, i, j, k) attached to?
Pinhole of the camera
What is the distance of the image plane from the pinhole?
Positive distance f 0
What is the point C 0 in the context of the pinhole projection?
Image center
What is the line perpendicular to the image plane and passing through O called?
Optical axis
What is the relationship between the origin O and the pinhole?
The origin O coincides with the pinhole
What is the purpose of the coordinate system (O, i, j, k) in the context of the pinhole projection?
To describe the pinhole camera
What is the main disadvantage of the pinhole principle in camera systems?
Not enough light is gathered from the scene.
What is the assumption made in the weak perspective projection model?
Scene points have approximately identical distances.
What is the purpose of using a lens in camera systems?
To gather more light from the scene and keep the image in focus.
What is the relationship between the coordinates of scene and image points in the perspective projection model?
x0 = f0x/z
What is the effect of increasing the size of the pinhole in a camera system?
The image gets more and more blurred.
What is the main factor that defines the behavior of lenses in camera systems?
Geometric optics.
What is the condition for point P0 to lie in the image plane?
z0 = 0
What is the relationship between λ and OP?
λ = OP
What can be said about the points P, O, and P0?
They are colinear
What is the expression for x0 in terms of x, y, z, and f?
x0 = f*x/z
What can be said about the coordinates of scene point P?
x, y, and z are all non-zero
What is the assumption about the angles between light rays passing through a lens and the interface normal?
They are always zero or very small
What is the relationship between the angles α1 and γ according to the law of refraction?
α1 = γ + β1
What is the derived relationship between scene and image points?
x/x0 = y/y0 = f/z0
What is the shape of the boundary of a lens according to the assumptions?
Circular
What is the approximate relationship between the angle γ and the height h of the light ray?
γ ≈ h/R
What is the relationship between the angles β1 and β2 according to the law of refraction?
β1 = γ - β2
What is the condition for paraxial refraction to be applicable?
Angles are always small
What is the focal point of a lens?
The point at a distance f from O
What is the relationship between the object and image distance in a thin lens?
1/z - 1/z0 = 1/f
What happens to rays through O in a thin lens?
They are not refracted
This quiz covers the fundamental concepts of pinhole projection in computer vision, including the coordinate system, image plane, and optical axis. Test your understanding of the geometry involved in this key concept. Learn about the relationship between the pinhole, image plane, and optical axis.
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