ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci., IV-2/W1, 155-162, 2016
http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/IV-2-W1/155/2016/
doi:10.5194/isprs-annals-IV-2-W1-155-2016
 
05 Oct 2016
DEFINING SIMPLE nD OPERATIONS BASED ON PRISMATIC nD OBJECTS
K. Arroyo Ohori, H. Ledoux, and J. Stoter 3D Geoinformation, Delft University of Technology, Delft, the Netherlands
Keywords: nD GIS, prismatic polytopes, extrusion Abstract. An alternative to the traditional approaches to model separately 2D/3D space, time, scale and other parametrisable characteristics in GIS lies in the higher-dimensional modelling of geographic information, in which a chosen set of non-spatial characteristics, e.g. time and scale, are modelled as extra geometric dimensions perpendicular to the spatial ones, thus creating a higher-dimensional model. While higher-dimensional models are undoubtedly powerful, they are also hard to create and manipulate due to our lack of an intuitive understanding in dimensions higher than three. As a solution to this problem, this paper proposes a methodology that makes nD object generation easier by splitting the creation and manipulation process into three steps: (i) constructing simple nD objects based on nD prismatic polytopes – analogous to prisms in 3D –, (ii) defining simple modification operations at the vertex level, and (iii) simple postprocessing to fix errors introduced in the model. As a use case, we show how two sets of operations can be defined and implemented in a dimension-independent manner using this methodology: the most common transformations (i.e. translation, scaling and rotation) and the collapse of objects. The nD objects generated in this manner can then be used as a basis for an nD GIS.
Conference paper (PDF, 5274 KB)


Citation: Arroyo Ohori, K., Ledoux, H., and Stoter, J.: DEFINING SIMPLE nD OPERATIONS BASED ON PRISMATIC nD OBJECTS, ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci., IV-2/W1, 155-162, doi:10.5194/isprs-annals-IV-2-W1-155-2016, 2016.

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