Mathematical Foundation, the Essential Academic Issue of Gis: the Spatial Viewpoint of Map Algebra
نویسنده
چکیده
By analyzing and comparing the space conception of geography subjects, this paper discusses the space conception of the geographic information system, and points out that the space mathematics basis of the geographic information system has been the mathematics definition of the space conception of GIS. This paper has opened out and demonstrated the space mathematics basis of GIS. The space mathematics basis of GIS. Hereby, it discusses a current hot topic the seamless space database technology, and points out that what is called seamless is not only formal the seamless visualization, but the seamless measurement , the seamless space analysis and the seamless standardization integration. Finally, it disserts some of topics about space analysis theory and technology of the seamless space database, space data expression, NGDF and technology route, movement geometry on Earth, environment and other problems, thus making it known that to make the geography space conception of GIS and geography subjects go all the way will be beneficial to the new development of Geo-information science.
منابع مشابه
Assessment and Spatial Planning of Landscape Ecological Connectivity for Biodiversity Management (Case Study: Qazvin Province)
Habitat and ecosystem fragmentation and, consequently, the loss of landscape connectivity are major causes of biodiversity destruction, leading to disruption of material, energy, and information flow at the landscape scale. Given the importance of this issue, the current study aimed to evaluate the ecological connectivity and spatial planning of Qazvin Province, in order to re-establish and pro...
متن کاملPropagation of errors in spatial modelling with GIS
One of the most powerful capabilities of GIS, particularly for the earth and environmental sciences, is that it permits the derivation of new attributes from attributes already held in the GIS database. For example, elevation data in the form of a digital elevation model (DEM) can be used to derive maps of gradient and aspect (Hutchinson and Gallant, Chapter 9); or digital maps of soil type and...
متن کاملGlobally analytic $p$-adic representations of the pro--$p$--Iwahori subgroup of $GL(2)$ and base change, I : Iwasawa algebras and a base change map
This paper extends to the pro-$p$ Iwahori subgroup of $GL(2)$ over an unramified finite extension of $mathbb{Q}_p$ the presentation of the Iwasawa algebra obtained earlier by the author for the congruence subgroup of level one of $SL(2, mathbb{Z}_p)$. It then describes a natural base change map between the Iwasawa algebras or more correctly, as it turns out, between the global distribut...
متن کاملبکارگیری سیستمهای اطلاعات جغرافیایی (GIS) در ارزیابی آلودگی صوتی محیطهای کار: مطالعه موردی کارخانه نساجی
Background and Objective: Noise pollution causes many physiological, psychological, economic and social effects on human life. This issue is more important in the environment of industrial workplaces. This research aimed to adopt the functions of GIS for evaluating and spatial analysis of noises in industrial environments. Materials and Methods: At the initial step, the spatial data for indust...
متن کاملOn the $k$-ary Moment Map
The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment map is defined from G-manifold M to dual Lie algebra of G. We will interested study maps from G-manifold M to spaces that are more general than dual Lie algebra of G. These maps help us to reduce the dimension of a manifold much more.
متن کامل