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    Method of modelling facial action units using partial differential equations

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    Publication date
    2016
    Author
    Ugail, Hassan
    Ismail, N.B.
    Keyword
    Face analysis; Facial action units; Facial expressions; Facial Action Coding System (FACS); Partial Differential Equation (PDE)
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    In this paper we discuss a novel method of mathematically modelling facial action units for accurate representation of human facial expressions in 3- dimensions. Our method utilizes the approach of Facial Action Coding System (FACS). It is based on a boundary-value approach, which utilizes a solution to a fourth order elliptic Partial Differential Equation (PDE) subject to a suitable set of boundary conditions. Here the PDE surface generation method for human facial expressions is utilized in order to generate a wide variety of facial expressions in an efficient and realistic way. For this purpose, we identify a set of boundary curves corresponding to the key features of the face which in turn define a given facial expression in 3-dimensions. The action units (AUs) relating to the FACS are then efficiently represented in terms of Fourier coefficients relating to the boundary curves which enables us to store both the face and the facial expressions in an efficient way.
    URI
    http://hdl.handle.net/10454/8400
    Version
    No full-text available in the repository
    Citation
    Ugail H and Ismail NB (2016) Method of modelling facial action units using partial differential equations. In: Kawulok M, Celebi E M and Smolka B (Eds.) Advances in face detection and facial image analysis. Springer. 129-143.
    Link to publisher’s version
    http://www.springer.com/gb/book/9783319259567
    Type
    Book chapter
    Collections
    Engineering and Informatics Publications

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