Analysis of Microscopic Images

A Gradient Vector Flow Based Approach

Bachelor Thesis (2018)
Author(s)

Duncan den Bakker (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

Neil Budko – Mentor

Hans Kraaijevanger – Graduation committee member

Emiel van Elderen – Graduation committee member

Faculty
Electrical Engineering, Mathematics and Computer Science
More Info
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Publication Year
2018
Language
English
Graduation Date
06-07-2018
Awarding Institution
Delft University of Technology
Faculty
Electrical Engineering, Mathematics and Computer Science
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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.

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