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dc.contributor.advisorUgail, Hassan
dc.contributor.advisorGonzalez Castro, Gabriela
dc.contributor.authorAthanasopoulos, Michael*
dc.date.accessioned2012-06-12T14:22:27Z
dc.date.available2012-06-12T14:22:27Z
dc.date.issued2012-06-12
dc.identifier.urihttp://hdl.handle.net/10454/5437
dc.description.abstractThis work addresses various applications pertaining to the design, modelling and animation of parametric surfaces using elliptic Partial Differential Equations (PDE) which are produced via the PDE method. Compared with traditional surface generation techniques, the PDE method is an effective technique that can represent complex three-dimensional (3D) geometries in terms of a relatively small set of parameters. A PDE-based surface can be produced from a set of pre-configured curves that are used as the boundary conditions to solve a number of PDE. An important advantage of using this method is that most of the information required to define a surface is contained at its boundary. Thus, complex surfaces can be computed using only a small set of design parameters. In order to exploit the advantages of this methodology various applications were developed that vary from the interactive design of aircraft configurations to the animation of facial expressions in a computer-human interaction system that utilizes an artificial intelligence (AI) bot for real time conversation. Additional applications of generating cyclic motions for PDE based human character integrated in a Computer-Aided Design (CAD) package as well as developing techniques to describe a given mesh geometry by a set of boundary conditions, required to evaluate the PDE method, are presented. Each methodology presents a novel approach for interacting with parametric surfaces obtained by the PDE method. This is due to the several advantages this surface generation technique has to offer. Additionally, each application developed in this thesis focuses on a specific target that delivers efficiently various operations in the design, modelling and animation of such surfaces.en
dc.language.isoenen_US
dc.rights<a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>.en_US
dc.subjectParametric surfacesen_US
dc.subjectModellingen_US
dc.subjectPartial Differential Equationsen_US
dc.subjectVirtual charactersen_US
dc.subjectComputer animationen_US
dc.titleModelling and Animation using Partial Differential Equations. Geometric modelling and computer animation of virtual characters using elliptic partial differential equations.en_US
dc.type.qualificationleveldoctoralen_US
dc.publisher.institutionUniversity of Bradfordeng
dc.publisher.departmentCentre of Visual Computing. School of Computing, Informatics and Mediaen_US
dc.typeThesiseng
dc.type.qualificationnamePhDen_US
dc.date.awarded2011
dc.description.publicnotesThe project files will not be available online.en
refterms.dateFOA2017-06-12T00:00:00Z


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