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Title: An Efficient Multigrid Scheme for Multi-phaseColour Image Segmentation by the Phase-field Model
Author: Tomasi, Alessandro
ISNI:       0000 0001 3534 5533
Awarding Body: University of Sussex
Current Institution: University of Sussex
Date of Award: 2008
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This work examines the fea.'libility of a method for the multi-phase segmentation of colour images and gives numerical examples of the results. The method combines the vector-valued Allen-Cahn (phase field) equation with initial data fitting terms, which are closely related to the MumfordShah problem and the level set segmentation by Chan and Vese. The numerical solution is performed using a multigrid algorithm over a set of nested finite element spaces, thereby producing an efficient and robust method for the segmentation of large images. A priori error estimates are included. Tests are performed to confirm the efficiency of the multigrid scheme, and salient examples of the results are provided.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available