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    Modelling facial action units using partial differential equations.

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    PhD Thesis (2.407Mb)
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    Publication date
    2015
    Author
    Ismail, Nur B.B.
    Supervisor
    Ugail, Hassan
    Gonzalez Castro, Gabriela
    Keyword
    Geometric modelling; 3D face modelling; Partial differential equations; PDE method; Action units; Facial expressions
    Rights
    Creative Commons License
    The University of Bradford theses are licenced under a Creative Commons Licence.
    Institution
    University of Bradford
    Department
    Centre of Visual Computing, Faculty of Engineering and Informatics
    Awarded
    2015
    
    Metadata
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    Abstract
    This thesis discusses a novel method for modelling facial action units. It presents facial action units model based on boundary value problems for accurate representation of human facial expression in three-dimensions. In particular, a solution to a fourth order elliptic Partial Differential Equation (PDE) subject to suitable boundary conditions is utilized, where the chosen boundary curves are based on muscles movement defined by Facial Action Coding System (FACS). This study involved three stages: modelling faces, manipulating faces and application to simple facial animation. In the first stage, PDE method is used in modelling and generating a smooth 3D face. The PDE formulation using small sets of parameters contributes to the efficiency of human face representation. In the manipulation stage, a generic PDE face of neutral expression is manipulated to a face with expression using PDE descriptors that uniquely represents an action unit. A combination of the PDE descriptor results in a generic PDE face having an expression, which successfully modelled four basic expressions: happy, sad, fear and disgust. An example of application is given using simple animation technique called blendshapes. This technique uses generic PDE face in animating basic expressions.
    URI
    http://hdl.handle.net/10454/14425
    Type
    Thesis
    Qualification name
    PhD
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    Theses

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