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3D data modelling and processing using partial differential equations.
Ugail, Hassan
Ugail, Hassan
Publication Date
2007
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© 2007 Ugail, H. Reproduced by permission from the copyright holder.
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openAccess
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Abstract
In this paper we discuss techniques for 3D
data modelling and processing where the data are
usually provided as point clouds which arise from 3D
scanning devices. The particular approaches we adopt
in modelling 3D data involves the use of Partial
Differential Equations (PDEs). In particular we show
how the continuous and discrete versions of elliptic
PDEs can be used for data modelling. We show that
using PDEs it is intuitively possible to model data
corresponding to complex scenes. Furthermore, we
show that data can be stored in compact format in the
form of PDE boundary conditions. In order to
demonstrate the methodology we utlise several examples
of practical nature.
Version
Accepted manuscript
Citation
Ugail, H. (2007). 3D data modelling and processing using partial differential equations. Advances and Applications of Dezert-Smarandache Theory for Plausible and Paradoxical Reasoning for Information Fusion. Bulgarian Academy of Sciences (ed.), pp. 54--58.
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Type
Book chapter