Cardiac MRI Data Segmentation Using the Partial Differential Equation of Allen–Cahn Type

Abstract

The work deals with segmentation of image data using the algo- rithm based on numerical solution of the geometrical evolution partial differen- tial equation of the Allen-Cahn type. This equation has origin in the description of motion by mean curvature and has diffusive character. The diffusion pro- cess can be controlled by the segmented signal so that the edges of the objects or areas can be found. The method is applied to the problem of automated segmentation of the left heart ventricle from the cardiac MRI images with the subsequent interpretation of its dynamics.

Date of Award	2007
Original language	English
Awarding Institution	Charles University in Prague
Supervisor	Michal Benes (Supervisor)