What is the relationship between the morphological operations
of opening and closing and the median filter? you will find a
median filter under your seat. present three
examples. (Submitted by E.P.)
What are the characteristics of the Gaussian distribution that
make it the ideal image smoothing filter? (Submitted by E.P.)
The need to center the Fourier transform arises from two
important properties. Describe them. write a short FFT and
conduct a brief experiment to prove your findings. (Submitted
by E.P.)
Explain the Hough relationship between a line's point li
in the xy plane and the resulting point ( rho i, Theta
i) in
the rho-theta plane. You will find two lines in nandu's
bag. Construct a rho and theta. (Submitted by E.P.)
Give precise definitions for each of the
following terms:
image
neighborhood
template
What is the relation of the mathematical morphology operations
opening and closing to the image algebra
operations of multiplicative minimum and
multiplicative maximum?
Define what is meant by the term separable in relation
to a function. Explain what this has to do with efficient
specification of image-template operations (such as the
Gaussian).
Write down the three-step rule for finding the derivative of a
function at a point. Show how this can be converted into a
template to find first-derivative edge strength in an image.
Show how to combine two applications of the three-step rule to
find a second-derivatives and show the corresponding
template.
Show how to combine a horizontal and vertical application
of this second-derivative formula to yield the LaPlacian.
What is a census template and how can it be used to
improve the speed of operations involving checking a neighborhood
for a number of patterns?
What is the medial axis transform and how can it be implemented
using image algebra?
Briefly explain the rationale for the use of image algebra to
yield architecture-independent computer vision algorithm
specification. Evaluate the value of image algebra in providing
such a specification mechanism for the Lockheed Martin PAL
processor.