ISSN : 1796-203X
Volume : 2    Issue : 8    Date : October 2007

Reconstruction of 3D Human Facial Images Using Partial Differential Equations
Eyad Elyan and Hassan Ugail
Page(s): 1-8
Full Text:
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One of the challenging problems in geometric modeling and computer graphics is the construction
of realistic human facial geometry. Such geometry are essential for a wide range of applications,
such as 3D face recognition, virtual reality applications, facial expression simulation and computer
based plastic surgery application. This paper addresses a method for the construction of 3D
geometry of human faces based on the use of Elliptic Partial Differential Equations (PDE). Here the
geometry corresponding to a human face is treated as a set of surface patches, whereby each
surface patch is represented using four boundary curves in the 3-space that formulate the
appropriate boundary conditions for the chosen PDE. These boundary curves are extracted
automatically using 3D data of human faces obtained using a 3D scanner. The solution of the PDE
generates a continuous single surface patch describing the geometry of the original scanned data.
In this study, through a number of experimental verifications we have shown the efficiency of the
PDE based method for 3D facial surface reconstruction using scan data. In addition to this, we also
show that our approach provides an efficient way of facial representation using a small set of
parameters that could be utilized for efficient facial data storage and verification purposes.

Index Terms
Partial Differential Equations, 3D face representation, 3D data storage.