The Mathematics of Visualization

(A three-week module in MA 325 at NCSU)

http://www4.ncsu.edu/eos/users/w/white/www/white/ma325.htm

by

Robert E. White

Professor of Mathematics at NCSU

References: Many of the images have been taken from the following www sites.

Digital Image Processing, Second Edition, Prentice Hall

by Gonzalez and Woods

http://www.imageprocessingbook.com/

NASA

http://www.nasa.gov/

Outline of Topics:

1. Enhanced Images

lettern.m letterc.m letters.m letteru.m imagncsu.m

color_imagncsu.m moon6dsm.m moon6dsm.jpg

2. Transformations and Histograms

pollen.m Fig3.10(b).jpg pollenlight.m pollenspread.m

aerialpower.m Fig3.09(a).jpg mars3power.m mars3.jpg

3. Blurring and Sharpening

blur1d.m blur2d_ncsu.m pollensharpen.m Fig3.10(b).jpg

moonsharpen.m Fig4.28(a).jpg

4. Laplace Transforms

ffttrig.m

5. Complex Numbers and Fourier Transforms

ffttrig.m

6. Discrete Fourier Transform

fftsine.m

7. Discrete Fourier Transform in 2D

ffttrig2d.m fftsine2d.m

8. Filters in Frequency Domain

bign.m bigc.m bigs.m bigu.m filter_ncsu.m

filter_bu.m filter_aerial.m Fig4.04(a).jpg filter_micro.m

Homework 1.

Homework 2.

Module Summary.