A Standard Cell Library for Student Projects

A Standard Cell Library for Student Projects

Multivariate Analysis of Multi-Spectral Images
Derrick Ankomah-Nyarko` , Dr. Richard K. Ulrich
1

2

Berea College, Berea, KY, USA
2
University of Arkansas, Fayetteville, AR, USA
1

Project Background

Multispectral
Multispectralimages
imagesof
ofthe
thetarget
targetasteroid
asteroidwill
willbe
betaken
takenwith
withthe
thecameras
camerasaboard
aboardthe
theproposed
proposedHera
Heraspacecraft
spacecraftand
andbeamed
beamedback
backto
toEarth.
Earth. The
Thepurpose
purposeof
ofthis
thisproject
projectisisto
tomanipulate
manipulatethese
these
images,
images,taken
takenthrough
throughvarious
variousfilters
filtersand,
and,possibly,
possibly,from
fromvarious
variouspositions,
positions,to
toenable
enablespecific
specificfeatures
featureson
onthe
theasteroid
asteroidto
tobe
bespectrally
spectrallyanalyzed
analyzedfor
forcomposition
compositioninformation.
information. To
Toaccomplish
accomplishthis,
this,
software
softwarewill
willbe
bewritten
writtento
tofirst
firstregister
registerand
andstack
stackthe
theimages,
images,correcting
correctingfor
forinconsistencies
inconsistenciesin
inthe
thecoverage
coverageof
ofthe
theindividual
individualframes,
frames,then
thento
toenable
enablethe
theuser
userto
todisplay
displayspectral
spectralcurves
curvesof
ofany
any
specific
specificfeature
feature(a
(arock,
rock,aacrater,
crater,aapatch
patchof
ofregolith,
regolith,etc).
etc). This
Thismust
mustbe
beaccomplished
accomplishedin
injust
justaafew
fewminutes
minutesso
sothat
thatthe
theanalysis
analysiscould
couldbe
beused
usedto
tohelp
helpselect
selecttargets
targetsfor
forsampling.
sampling.

Project Details

6 grayscale images taken through the left camera.
These images are shown in colors representative of their
respective wavelengths, ranging from 432 nm to 753 nm.
Image Registration:
Given that these images could be shot through
filters located at different locations in space, the
images might be oriented in slightly different
positions.
Using the software written in MATLAB, all the
individual images are carefully registered so that
the reference points in all the images are in
uniform alignment

6 grayscale images taken through the right camera.
These images are shown in colors representative of their
respective wavelengths, ranging from 754 nm to 1009 nm.

The registered image lays
skewed over the base image in
order to line up all features.

Creating an Image on the Screen:
Since computer screens can only display images
which are in 3 colors or less and since the human
eye can only see between 380 nm and 780 nm, 3
of the 12 stacked images are selected for display
and assigned colors in the visible range. This
image enables the user to see a representation of
the total stack of 12.

Image Stacking (12 layers):
The registered grayscale images are then stacked
in 12 layers with each layer maintaining its
distinct color information.

Seen by user on computer screen

A distribution of the
color intensities of a
selected rock in the
displayed image.

Display of Spectral Intensity Distribution for Features:
A MATLAB GUI program will display a plot of the 12
layers against their respective intensities for any discrete
feature (rock, crater, patch of regolith) in the false-color
image. The user will select the point or region with the
mouse and see the spectral distribution on-screen.
A false-color , 3-layered
image whose pixels each
displays a histogram when a
cursor moves over it.

References:
Gilat, Amos. MATLAB: An Introduction With Applications. John Wiley & Sons, Inc., 2005.
4
Hanselman, Duane and Littlefield, Bruce. Mastering MATLAB 7. Pearson Prentice Hall, 2005.
5
Chapra, Steven. Applied Numerical Methods with MATLAB for Engineers and Scientists. McGraw
Hill, 2005.
3

The MATLAB-generated distributions from
Hera images would be compared to the FTIRgenerated graphs to ascertain which samples
on Earth bear semblance in terms of mineral
composition with the asteroid samples.

A rock sample
whose mineral
composition is
known.

A FTIR spectrogram of
the known sample

FTIR Rock Sample Analysis:
As a comparison, samples on Earth, which are
suspected to contain similar mineral contents as
the asteroid samples, would be fed through an
Fourier Transform Infrared Spectrometer (FTIR)
to obtain spectra for comparison with the images
from Hera.

A Fourier Transform Infrared
(FTIR) Spectrometer

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