EE1390 Introduction to Image Processing
Homework #1
(Due Date by 5:00 PM, Thursday, September 15
th
)
*Problems from "Digital Image Processing" by Gonzalez
Solve the following problems (
2.9, 2.11, 2.16, 2.18
(
*Projection on Image Plane
Fig 1. An Illustrat
ion showing the line of sight that is used to calculate the projected point
(x',y') from the object point (x,y,z).
The position of a point (x,y,z) in the image plane is given by the equations:

x'=
(f/z)*x
y'=
(f/z)*y
Use the above equations to solve the
following problem:

A surveillance camera is located in one of the walls of a room as shown in the above figure.
The optical axis of the camera is perpendicular to the wall ad the lens center is in the plane of
the wall. The focal length of the lens is 0
.05 meters. The x

z plane of the camera is parallel to
the x

y plane of the world coordinate system. The image plane is behind the wall. Find the
image coordinates of
1.
The room corner (A)
2.
The head of a person 2 meters tall standing at a distance of 3 x 2 me
ters from the
corner B as shown in the above figure.
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