Digital Image Processing: 2. In this problem, you will determine the correct dis
ID: 1407393 • Letter: D
Question
Digital Image Processing:
2. In this problem, you will determine the correct distance the imaging plane should he from the lens for an object at a certain distance to he in focus. Assume the thin lens model discussed in lecture for a camera with a focal length of 35mm. An object in the scene will he in focus when all the rays from the object that pass through the lens converge at the same point on the imaging plane. What should he the distance from the lens to the imaging plane for an object that is: a) 1m from the camera? b) 100m from the camera?Explanation / Answer
Here ,
focal length , f = 35 mm
a)
let the distance of imaging plane is di
Using leng=s formula
1/f = 1/di + 1/do
1/.035 = 1/1 + 1/di
di = 0.0363 m
the imaging plane must be 36.3 mm from the lens
b)
using lens formula
1/0.035 = 1/100 + 1/di
di = 0.03501 m
the distance of imaging plane is 35.01 mm