Show simple item record

dc.contributor.authorUgail, Hassan
dc.contributor.authorIsmail, N.B.
dc.date.accessioned2016-05-23T13:24:54Z
dc.date.available2016-05-23T13:24:54Z
dc.date.issued2016
dc.identifier.citationUgail 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.en_US
dc.identifier.urihttp://hdl.handle.net/10454/8400
dc.descriptionNoen_US
dc.description.abstractIn 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.en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttp://www.springer.com/gb/book/9783319259567en_US
dc.subjectFace analysis; Facial action units; Facial expressions; Facial Action Coding System (FACS); Partial Differential Equation (PDE)en_US
dc.titleMethod of modelling facial action units using partial differential equationsen_US
dc.status.refereedYesen_US
dc.typeBook chapteren_US
dc.type.versionNo full-text available in the repositoryen_US


Item file(s)

Thumbnail
Name:
Ugail_Chapter_in_9783319259567.pdf
Size:
1.257Mb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record