Level Set Methods

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Tavallaee, Ali | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 46307 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Fotouhi Firouzabad, Morteza
Abstract:
Level set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. The advantage of the level set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach). Also, the level set method makes it very easy to follow shapes that change topology, for example when a shape splits in two, develops holes, or the reverse of these operations. All these make the level set method a great tool for modeling time-varying objects, like inflation of an airbag, or a drop of oil floating in water
Keywords:
Level Set Method ; Hamilton-Jacobi Equation ; Narrow Band ; Image Segmentation ; Zero Level Set