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Template-based GIS computation : a geometric algebra approach / Wen Luo in International journal of geographical information science IJGIS, vol 31 n° 9-10 (September - October 2017)  

Public [article]  inInternational journal of geographical information science IJGIS > vol 31 n° 9-10 (September - October 2017) . - pp 2045 - 2067 Titre : Template-based GIS computation : a geometric algebra approach Type de document : Article/Communication Auteurs : Wen Luo, Auteur ; Zhaoyuan Yu, Auteur ; Lingwang Yuan, Auteur ; et al., Auteur Année de publication : 2017 Article en page(s) : pp 2045 - 2067 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Systèmes d'information géographique [Termes IGN] calcul matriciel [Termes IGN] matrice [Termes IGN] représentation spatiale [Termes IGN] système d'information géographique Résumé : (Auteur) The tight coupling between geospatial data and spatial analysis results in high costs in terms of efficiency when developing algorithms to accommodate different types of data, even when the analysis tasks are the same. Universal GIS (Geographic information system) algorithms, as alternatives to tightly coupled approaches, can reduce development costs. However, a unified representation of spatial data is necessary to support the development of universal GIS algorithms. To this end, this research proposes and implements a template-based approach using geometric algebra to create a unified representation of multidimensional data. The template is composed of parameters and operators for GIS representation and computation. The template approach can support general GIS analyses with parameter unfolding and operator integration methods. A case study of intersection analysis shows that developing programming scripts based on computation templates is much simpler than traditional methods. The results suggest that the template-based method is more efficient than traditional methods and more convenient for high-dimensional applications. Numéro de notice : A2017-508 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/13658816.2017.1346796 En ligne : http://dx.doi.org/10.1080/13658816.2017.1346796 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=86454 [article]

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Geometric algebra model for geometry-oriented topological relation computation / Zhaoyuan Yu in Transactions in GIS, vol 20 n° 2 (April 2016)  

Public [article]  inTransactions in GIS > vol 20 n° 2 (April 2016) . - pp 259 – 279 Titre : Geometric algebra model for geometry-oriented topological relation computation Type de document : Article/Communication Auteurs : Zhaoyuan Yu, Auteur ; Wen Luo, Auteur ; Lingwang Yuan, Auteur ; et al., Auteur Année de publication : 2016 Article en page(s) : pp 259 – 279 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Bases de données localisées [Termes IGN] espace topologique [Termes IGN] modèle géométrique [Termes IGN] relation topologique [Termes IGN] traitement de données localisées Résumé : (auteur) Classical topological relation expressions and computations are primarily based on abstract algebra. In this article, the representation and computation of geometry-oriented topological relations (GOTR) are developed. GOTR is the integration of geometry and topology. The geometries are represented by blades, which contain both algebraic expressions and construction structures of the geometries in the conformal geometric algebra space. With the meet, inner, and outer products, two topology operators, the MeetOp and BoundOp operators, are developed to reveal the disjoint/intersection and inside/on-surface/outside relations, respectively. A theoretical framework is then formulated to compute the topological relations between any pair of elementary geometries using the two operators. A multidimensional, unified and geometry-oriented algorithm is developed to compute topological relations between geometries. With this framework, the internal results of the topological relations computation are geometries. The topological relations can be illustrated with clear geometric meanings; at the same time, it can also be modified and updated parametrically. Case studies evaluating the topological relations between 3D objects are performed. The result suggests that our model can express and compute the topological relations between objects in a symbolic and geometry-oriented way. The method can also support topological relation series computation between objects with location or shape changes. Numéro de notice : A2016-451 Affiliation des auteurs : non IGN Thématique : GEOMATIQUE Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1111/tgis.12154 En ligne : http://dx.doi.org/10.1111/tgis.12154 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=81362 [article]