Print Email Facebook Twitter Defining simple nD operations based on prismatic nD objects Title Defining simple nD operations based on prismatic nD objects Author Arroyo Ohori, G.A.K. (TU Delft Urban Data Science) Ledoux, H. (TU Delft Urban Data Science) Stoter, J.E. (TU Delft Urban Data Science) Contributor Dimopoulou, E. (editor) van Oosterom, P. (editor) Date 2016 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. Subject nD GISprismatic polytopesextrusion To reference this document use: http://resolver.tudelft.nl/uuid:b7091dac-7d4e-470d-94af-69f44ec244b6 DOI https://doi.org/10.5194/isprs-annals-IV-2-W1-155-2016 Publisher ISPRS Source ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, IV-2/W1 Event 11th 3D Geoinfo Conference, 2016-10-20 → 2016-10-21, Athens, Greece Part of collection Institutional Repository Document type conference paper Rights © 2016 G.A.K. Arroyo Ohori, H. Ledoux, J.E. Stoter Files PDF isprs_annals_IV_2_W1_155_2016_1.pdf 5.26 MB Close viewer /islandora/object/uuid:b7091dac-7d4e-470d-94af-69f44ec244b6/datastream/OBJ/view