Analysis of Microscopic Images: Boundary Detection Using a Modified Mumford-Shah Model

Bachelor thesis (2018)

Authors

A. Kerst Electrical Engineering, Mathematics and Computer Science

Contributors

N.V. Budko (supervisor 1)
E.M. van Elderen (supervisor 2)
J.G. Spandaw (supervisor 2)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2018 Arthur Kerst
Image Segmentation Boundary Detection Active Contours Variational Methods
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Published Date

04-07-2018

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

Deformable energy-minimizing contours are used in image analysis, particularly to detect boundaries from objects. From the Mumford-Shah model we derive an equation to move such contours towards the boundary, which minimizes the functional. The external force is computed using the mean value of the inside and outside area of the contour. Various image filtering methods are proposed to enhance this model. We introduce an improved Mumford-Shah model to improve the computational time without losing accuracy. An artificial force is added at the beginning of the simulation to quickly yield an approximation of the contour. Finally, we consider a simplified version of the model, which we solve analytically. The solution is used to find suitable parameters for the model.