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.