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The marker level set method: applications to simulation of liquids
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The marker level set method: applications to simulation of liquids
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Mihalef
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Viorel
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Viorel Mihalef
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Metaxas
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Dimitris
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Advisory Committee
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Dimitris Metaxas
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chair
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Dinesh
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Advisory Committee
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Dinesh K. Pai
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Richter
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Gerard
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Advisory Committee
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Gerard Richter
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Dinesh
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Advisory Committee
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Dinesh Pai
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Sussman
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Mark
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Advisory Committee
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Mark Sussman
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Rutgers University
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Graduate School - New Brunswick
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theses
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2007
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2007
Language
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English
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electronic
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xii, 67 pages
Abstract
Interface advection methods are important tools with applications in computer graphics and computer vision, as well as in computational fluid dynamics and other engineering domains. The
classic level set method in particular is one of the most widely used methods for interfacial advection; however, this method is less successful in tracking high-curvature regions and thin sheets, and it completely discards information tangential to the interface.
In this thesis we introduce a new method for advection of interfaces by an external velocity field with improved performance in the problematic areas of the classic level set method mentioned above, and present several applications to simulation of liquids. We show that our method, which we term the Marker Level Set (MLS),
provides an accurate, simple, and efficient alternative to the present technology for interfacial advection. Moreover, MLS features several capabilities that are quite important for computer graphics, such as automatic surface texture transport and an easy way of generating spray and small bubbles during simulation of liquids. We introduce as well a new MLS-based level
set reinitialization procedure which gives improved performance over classical reinitialization procedures used in the context of
the level set method alone.
classic level set method in particular is one of the most widely used methods for interfacial advection; however, this method is less successful in tracking high-curvature regions and thin sheets, and it completely discards information tangential to the interface.
In this thesis we introduce a new method for advection of interfaces by an external velocity field with improved performance in the problematic areas of the classic level set method mentioned above, and present several applications to simulation of liquids. We show that our method, which we term the Marker Level Set (MLS),
provides an accurate, simple, and efficient alternative to the present technology for interfacial advection. Moreover, MLS features several capabilities that are quite important for computer graphics, such as automatic surface texture transport and an easy way of generating spray and small bubbles during simulation of liquids. We introduce as well a new MLS-based level
set reinitialization procedure which gives improved performance over classical reinitialization procedures used in the context of
the level set method alone.
Note
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Ph.D.
Note
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Includes bibliographical references (p. 63-66).
Subject
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Topic
Computer Science
Subject
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Topic
Level set methods
Subject
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Topic
Interfaces (Physical sciences)--Mathematics
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Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.16749
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doi:10.7282/T3862GTZ
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ETD doctoral
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Open
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Name
Viorel Mihalef
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Affiliation
Rutgers University. Graduate School - New Brunswick
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Non-exclusive ETD license
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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