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3D data modelling and processing using partial differential equations.

By Hassan Ugail

Abstract

NoIn this paper we discuss techniques for 3D\ud data modelling and processing where the data are\ud usually provided as point clouds which arise from 3D\ud scanning devices. The particular approaches we adopt\ud in modelling 3D data involves the use of Partial\ud Differential Equations (PDEs). In particular we show\ud how the continuous and discrete versions of elliptic\ud PDEs can be used for data modelling. We show that\ud using PDEs it is intuitively possible to model data\ud corresponding to complex scenes. Furthermore, we\ud show that data can be stored in compact format in the\ud form of PDE boundary conditions. In order to\ud demonstrate the methodology we utlise several examples\ud of practical nature

Topics: 3D data modelling, Partial differential equations (PDEs), Data storage
Year: 2007
OAI identifier: oai:bradscholars.brad.ac.uk:10454/2672
Provided by: Bradford Scholars

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