INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo Bldg) 644. Phone: (303) 556-8102.
Office hours: by appointment.
WWW: http://www-math.cudenver.edu/~aknyazev
TEXTBOOK:
Approximation Theory and Methods,
M. J. J. D. Powell.
Format:Textbook Paperback, 1st
ed., 352pp.
ISBN: 0521295149
Publisher:
Cambridge University Press.
Pub. Date: October 1981
Final Project: Comparing Apples and Oranges using least squares
-
Run the MATLAB codes from the midterm project report
by
Eugene Vecharynski,
and understand what they do.
-
Read into MATLAB provided images of
apples and
oranges
and process them with the codes mentioned above
in order to remove the background and to resize the
cropped images.
-
Write a MATLAB function to compute the least squares approximation
of a given image by a linear combination of a given
set of images. The function should also
compute the approximation error.
-
Using this function, compute the best
approximation of a trial apple to (a) the set of all other
apples and (o) set of images of oranges. Image Identification:
Based on the approximation errors,
conclude if the trial apple is indeed an apple or if it is an orange.
Sample project reports by students.