Method of Modelling Facial Action Units Using Partial Differential Equations
| Autor: | Nur Baini Ismail, Hassan Ugail |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Facial expression
Partial differential equation business.industry ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Boundary (topology) 020206 networking & telecommunications 02 engineering and technology Facial Action Coding System PDE surface Elliptic partial differential equation Computer Science::Computer Vision and Pattern Recognition Face (geometry) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Computer vision Boundary value problem Artificial intelligence business Psychology Algorithm |
| Zdroj: | Advances in Face Detection and Facial Image Analysis ISBN: 9783319259567 |
| DOI: | 10.1007/978-3-319-25958-1_6 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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