Towards the digital modelling of natural entities and its Pseudo-representation

Figures & data

Figure 1. The conceptual model of the digital modelling.

Table 1. The typical pseudo-representation models

Typical models	Cells representation forms	Inherent relations representation forms	Mapping relations representation forms
Point-set model (Egenhofer and Franzosa 1991)	Mathematical notations	Mathematical matrix	/
Temporal interval model (Allen 1983)	Mathematical notations	Mathematical matrix	/
The unified model (Worboys 1994)	Mathematical notations	Mathematical notations	/
The geo-atoms model (Goodchild et al. 2007)	Mathematical notations	/	Mathematical notations
PGOModel (Kjenstad 2006)	UML classes	/	UML relations
General field model (Liu et al. 2008)	UML classes	/	UML relations
BPRModel	UML classes	UML relations	UML relations

Figure 2. The unified basic pseudo-representation model (BPRModel) of the digital modelling.

Figure 3. (a). The reconstruction of the digital spatial-temporal entity based on space. This method is to build the digital spatial entity and pair all of the N temporal cells with the digital spatial entity. b). The reconstruction of the digital spatial-temporal entity based on time. This method is to build the digital temporal entity and pair all of the M spatial cells with the digital temporal entity. (c). The reconstruction of the digital spatial-temporal entity with coupled spatial-temporal cells by representing the inherent relations between them.

Table 2. Representations of the magnetosphere

Codes of the coupled ST cells (Row Key)	Column Family: Field-based				Column Family: Object-based
	$E_1$ (Magnetic field intensity)			$E_2$ (Particle flux)	$E_3$ (Particle pitch angle)	$E_4$ (Particle velocity)
	$D_{\left(1,1\right)}=B_x$	$D_{\left(1,2\right)}=B_x$	$D_{\left(1,3\right)}=B_x$	$D_{\left(2,1\right)}=j$	$D_{\left(3,1\right)}=\alpha$	$D_{\left(4,1\right)}=v_x$	$D_{\left(4,2\right)}=v_y$	$D_{\left(4,3\right)}=v_z$
$cod{e}_1$	$f_1\left(cod{e}_1\right)$	$f_1\left(cod{e}_1\right)$	$f_1\left(cod{e}_1\right)$	$f_2\left(cod{e}_1\right)$	$f_3\left(cod{e}_1\right)$	$f_4\left(cod{e}_1\right)$	$f_4\left(cod{e}_1\right)$	$f_4\left(cod{e}_1\right)$
$cod{e}_2$	$f_1\left(cod{e}_2\right)$	$f_1\left(cod{e}_2\right)$	$f_1\left(cod{e}_2\right)$	$f_2\left(cod{e}_2\right)$
$cod{e}_3$	$f_1\left(cod{e}_3\right)$	$f_1\left(cod{e}_3\right)$	$f_1\left(cod{e}_3\right)$	$f_2\left(cod{e}_3\right)$
$cod{e}_4$	$f_1\left(cod{e}_4\right)$	$f_1\left(cod{e}_4\right)$	$f_1\left(cod{e}_4\right)$	$f_2\left(cod{e}_4\right)$	$f_3\left(cod{e}_4\right)$	$f_4\left(cod{e}_4\right)$	$f_4\left(cod{e}_4\right)$	$f_4\left(cod{e}_4\right)$

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