3D data modelling and processing using partial differential equations.

Description

Yes / 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.

Links & Downloads

1. 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.
2. http://hdl.handle.net/10454/2672

Tags

3D data modelling

Partial differential equations (PDEs)

Data storage

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/2672
Date	January 2007
Creators	Ugail, Hassan
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Book chapter, Accepted manuscript
Rights	© 2007 Ugail, H. Reproduced by permission from the copyright holder., Unspecified