Analysis of Microscopic Images

A Gradient Vector Flow Based Approach

Bachelor thesis (2018)

Authors

D.R. den Bakker Electrical Engineering, Mathematics and Computer Science

Contributors

N.V. Budko (supervisor 1)
J.F.B.M. Kraaijevanger (supervisor 2)
E.M. van Elderen (supervisor 2)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2018 Duncan den Bakker
Image processing Numerical analysis Active Contours
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Published Date

06-07-2018

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

The theory of active contours is applied to microscopic images of cells. A model is developed that approximates cell borders by dynamic curves. This model is based on gradient vector flow (GVF), an external force that acts on the contours. Both active contours and the GVF force field are defined as functions that minimize certain functionals. The corresponding Euler-Lagrange equations are derived and analyzed theoretically. A number of auxiliary algorithms are designed to aid the performance of the main snake algorithm, including a preprocessing algorithm, a method for detecting cell centers and an algorithm that detects areas devoid of cells. Results of the snake algorithm are presented, along with practical considerations regarding parameter choice. Finally, statistical methods are applied to the results to demonstrate their usefulness.