Mathematics
and
Computer Science Speaker Series
California State University,
Stanislaus
Date: Friday, February 17,
2012 POSTPONED TO March 16, 2012
Time: 4:00 - 5:00 p.m
Room: P-164
Speaker: Jessica
De
Silva and Karen Murata
Title: The Alignment of Arbitrary Contours Using
Area
Difference Distance Measurement
Abstract: Innovation in the process of medical
imaging
relies heavily on the metric function that outputs the distance
between
a fixed and arbitrary set of anatomical contours. The distance
function
presented is the area difference distance
measurement, taking into account two sets containing data points
which
represent their respective contours. In this talk,
we will present a formal proof which demonstrates the validity of
the
presented area difference distance measurement.
In order to accurately measure distance using this function,
Procrustes
method is applied by aligning the arbitrary
contour to a fixed contour. This optimal alignment requires
minimizing
the distance function in terms of rotating,
scaling, and translating the arbitrary contour. The succeeding proof
presented validates that these values, which
optimize the distance between two contours, can be found with the
sets
of data points representing each contour.
Accurate area difference distance measurement between two contours
can
then be achieved after this optimization.
Through the use of Matlab, synthetic data is applied to test the
effectiveness of area difference distance measurement.
The application of this metric function to medical imaging will be
our
future work.