Desenvolvimento de algoritmos para o cálculo de integrais elípticas de primeira e segunda ordens por meio da Ttransformação de Landen

This paper deals with elliptic integrals of first and second kind and their solution by Landen-transformation. It is explained how the Landen-transformation works and how the different algorithms can be used in geodetic problem solving. The algorithms are recursive and thus easy to implement and stable. Further on the testing is quite simple. The numerical results of the  Landen-transformation are compared to this computed with Maple V to show the exactness of the algorithms. For two algorithms the source-code is depicted

Transformação de coordenadas com base em padrão de projeto

In this paper a new approach for the transformation of coordinates is suggested.This approach is based on design patterns which simplify the implementationsignificantly. The whole transformation process is depicted as a directed acyclicorientate graph. There each vertex denotes a class and each edge stands for one ormore algorithms. Thus the transformation is nothing but a crossing of vertices andedges of this graph. Besides the rather simple maintenance of the program thecomplete flow of data concerning the transformation gets quite simple. Furthermorealso the extensibility of the program can easily be performed. All aspects areexplained by examples and code fragments.Neste artigo uma nova abordagem para a transformação de coordenadas é sugerida.Essa abordagem baseia-se no padrão de projeto que possibilita a simplificação daimplementação de forma significativa. A totalidade do processo de transformação érepresentada como um gráfico orientado acíclico. Cada vértice denota uma classe ecada borda apóia a um ou mais algoritmos. Portanto a transformação consiste emcruzamento de vértices e bordas deste gráfico. Além disto, a manutenção doprograma para o completo fluxo dos dados acerca da transformação é realizada deforma muito simples. Ademais o programa pode ser facilmente extendido. Todosos aspectos serão explanados com exemplos e fragmentos de códigos

Geospatial Data Management Research: Progress and Future Directions

Without geospatial data management, today´s challenges in big data applications such as earth observation, geographic information system/building information modeling (GIS/BIM) integration, and 3D/4D city planning cannot be solved. Furthermore, geospatial data management plays a connecting role between data acquisition, data modelling, data visualization, and data analysis. It enables the continuous availability of geospatial data and the replicability of geospatial data analysis. In the first part of this article, five milestones of geospatial data management research are presented that were achieved during the last decade. The first one reflects advancements in BIM/GIS integration at data, process, and application levels. The second milestone presents theoretical progress by introducing topology as a key concept of geospatial data management. In the third milestone, 3D/4D geospatial data management is described as a key concept for city modelling, including subsurface models. Progress in modelling and visualization of massive geospatial features on web platforms is the fourth milestone which includes discrete global grid systems as an alternative geospatial reference framework. The intensive use of geosensor data sources is the fifth milestone which opens the way to parallel data storage platforms supporting data analysis on geosensors. In the second part of this article, five future directions of geospatial data management research are presented that have the potential to become key research fields of geospatial data management in the next decade. Geo-data science will have the task to extract knowledge from unstructured and structured geospatial data and to bridge the gap between modern information technology concepts and the geo-related sciences. Topology is presented as a powerful and general concept to analyze GIS and BIM data structures and spatial relations that will be of great importance in emerging applications such as smart cities and digital twins. Data-streaming libraries and “in-situ” geo-computing on objects executed directly on the sensors will revolutionize geo-information science and bridge geo-computing with geospatial data management. Advanced geospatial data visualization on web platforms will enable the representation of dynamically changing geospatial features or moving objects’ trajectories. Finally, geospatial data management will support big geospatial data analysis, and graph databases are expected to experience a revival on top of parallel and distributed data stores supporting big geospatial data analysis

The derivation of algorithms to compute elliptic integrals of the first and second kind by Landen-transformation

This paper deals with elliptic integrals of first and second kind and their solution by Landen-transformation. It is explained how the Landen-transformation works and how the different algorithms can be used in geodetic problem solving. The algorithms are recursive and thus easy to implement and stable. Further on the testing is quite simple. The numerical results of the Landen-transformation are compared to this computed with Maple V to show the exactness of the algorithms. For two algorithms the source-code is depicted