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\newcommand{\refch}[1]{\hyperref[#1]{Chapter}~\ref{#1}} \newcommand{\refchs}[1]{Chapters~\ref{#1}} \newcommand{\refse}[1]{\hyperref[#1]{\S}\ref{#1}} % \newcommand{\refses}[1]{\S\ref{#1}} \newcommand{\refap}[1]{\hyperref[#1]{Appendix}~\ref{#1}} \newcommand{\reffig}[1]{\hyperref[#1]{Figure}~\ref{#1}} \newcommand{\reffiges}[1]{\hyperref[#1]{Figura}~\ref{#1}} \newcommand{\reffignl}[1]{\hyperref[#1]{Figuur}~\ref{#1}} \newcommand{\reffigs}[1]{Figures~\ref{#1}} \newcommand{\reffigp}[1]{\hyperref[#1]{Figure}~\ref{#1} on \hyperref[#1]{page}~\pageref{#1}} \newcommand{\reftab}[1]{\hyperref[#1]{Table}~\ref{#1}} \newcommand{\refalgo}[1]{\hyperref[#1]{Algorithm}~\ref{#1}} % Papers \newcommand{\paperostravaedgematching}{\item \textbf{Edge-matching polygons with a constrained triangulation}. Hugo Ledoux and Ken Arroyo Ohori. \emph{Proceedings of GIS Ostrava 2011}, Ostrava, Czech Republic, January 2011, pp. 377--390.} \newcommand{\paperagileprepair}{\item[\href{http://dx.doi.org/10.5194/isprsarchives-xxxviii-4-c26-7-2012}{►}] \href{http://dx.doi.org/10.5194/isprsarchives-xxxviii-4-c26-7-2012}{\textbf{Automatically repairing invalid polygons with a constrained triangulation}}. Hugo Ledoux, Ken Arroyo Ohori and Martijn Meijers. In J\'er\^ome Gensel, Didier Josselin and Danny Vandenbroucke (eds.), \emph{Multidisciplinary Research on Geographical Information in Europe and Beyond. Proceedings of the 15th AGILE International Conference on Geographic Information Science}, Avignon, France, April 2012, pp. 13--18.} \newcommand{\papertdgeoinfond}{\item[\href{http://dx.doi.org/10.5194/isprsarchives-xxxviii-4-c26-7-2012}{►}] \href{http://dx.doi.org/10.5194/isprsarchives-xxxviii-4-c26-7-2012}{\textbf{Integrating scale and space in 3D city models}}. Jantien Stoter, Hugo Ledoux, Martijn Meijers and Ken Arroyo Ohori. In Jacynthe Pouliot, Sylvie Daniel, Fr\'ed\'eric Hubert and Alborz Zamyadi (eds.), \emph{Proceedings of the 7th International 3D GeoInfo Conference, International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences} XXXVIII--4/C26, ISPRS, Québec City, Canada, May 2012, pp. 7--10.} \newcommand{\paperosgisrepair}{\item \textbf{Automatically repairing polygons and planar partitions with \emph{prepair} and \emph{pprepair}}. Ken Arroyo Ohori, Hugo Ledoux and Martijn Meijers. \emph{Proceedings of the 4th Open Source GIS UK Conference}, Nottingham, United Kingdom, September 2012.} \newcommand{\paperpfgpprepair}{\item[\href{http://dx.doi.org/10.1127/1432-8364/2012/0143}{►}] \href{http://dx.doi.org/10.1127/1432-8364/2012/0143}{\textbf{Validation and automatic repair of planar partitions using a constrained triangulation}}. Ken Arroyo Ohori, Hugo Ledoux and Martijn Meijers. \emph{Photogrammetrie, Fernerkundung, Geoinformation} 5, October 2012, pp. 613--630.} \newcommand{\paperagileslicing}{\item \textbf{Manipulating higher dimensional spatial information}. Ken Arroyo Ohori, Filip Biljecki, Jantien Stoter and Hugo Ledoux. In Danny Vandenbroucke, B\'en\'edicte Bucher and Joep Crompvoets (eds.), \emph{Geographic Information Science at the Heart of Europe. Proceedings of the 16th AGILE International Conference on Geographic Information Science}, Leuven, Belgium, May 2013.} \newcommand{\papergeoadvancesnd}{\item[\href{http://dx.doi.org/10.1007/978-3-642-36379-5_2}{►}] \href{http://dx.doi.org/10.1007/978-3-642-36379-5_2}{\textbf{Representing the dual of objects in a four-dimensional GIS}}.\@ Ken Arroyo Ohori, Pawel Boguslawski and Hugo Ledoux. In A. Abdul Rahman, P. Boguslawski, C. Gold and M. N. Said (eds.), \emph{Developments in Multidimensional Spatial Data Models}, Lecture Notes in Geoinformation and Cartography, Springer Berlin Heidelberg, Johor Bahru, Malaysia, May 2013, pp. 17--31.} \newcommand{\papericcsand}{\item[\href{http://dx.doi.org/10.1007/978-3-642-39637-3_41}{►}] \href{http://dx.doi.org/10.1007/978-3-642-39637-3_41}{\textbf{Modelling higher dimensional data for GIS using generalised maps}}. Ken Arroyo Ohori, Hugo Ledoux and Jantien Stoter. In B. Murgante, S. Misra, M. Carlini, C. Torre, H. Q. Nguyen, D. Taniar, B. Apduhan and O. Gervasi (eds.), \emph{Computational Science and Its Applications --- ICCSA 2013. 13th International Conference, Ho Chi Minh City, Vietnam, June 24–27, 2013, Proceedings, Part I}, Lecture Notes in Computer Science 7971, Springer Berlin Heidelberg, June 2013, pp. 526--539.} \newcommand{\paperacmsigspatialextrusion}{\item[\href{http://dx.doi.org/10.1145/2525314.2525447}{►}] \href{http://dx.doi.org/10.1145/2525314.2525447}{\textbf{Using extrusion to generate higher-dimensional GIS datasets}}. Ken Arroyo Ohori and Hugo Ledoux. In Craig Knoblock, Peer Kr\"oger, John Krumm, Markus Schneider and Peter Widmayer (eds.), \emph{SIGSPATIAL'13: Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems}, ACM, Orlando, Florida, United States, November 2013, pp. 398--401.} \newcommand{\papericaaincrementalconstruction}{\item[\href{http://dx.doi.org/10.1007/978-3-319-04126-1_4}{►}] \href{http://dx.doi.org/10.1007/978-3-319-04126-1_4}{\textbf{Constructing an $n$-dimensional cell complex from a soup of $(n-1)$-dimensional faces}}. Ken Arroyo Ohori, Guillaume Damiand and Hugo Ledoux. In Prosenjit Gupta and Christos Zaroliagis (eds.), \emph{Applied Algorithms. First International Conference, ICAA 2014, Kolkata, India, January 13--15, 2014. Proceedings}, Lecture Notes in Computer Science 8321, Springer International Publishing Switzerland, Kolkata, India, January 2014, pp. 37--48.} \newcommand{\papercgeoprepair}{\item[\href{http://dx.doi.org/10.1016/j.cageo.2014.01.009}{►}] \href{http://dx.doi.org/10.1016/j.cageo.2014.01.009}{\textbf{A triangulation-based approach to automatically repair GIS polygons}}. Hugo Ledoux, Ken Arroyo Ohori and Martijn Meijers. \emph{Computers \& Geosciences} 66, May 2014, pp. 121--131.} \newcommand{\paperijgisndstructures}{\item[\href{http://dx.doi.org/10.1080/13658816.2014.999683}{►}] \href{http://dx.doi.org/10.1080/13658816.2014.999683}{\textbf{An evaluation and classification of $n$D topological data structures for the representation of objects in a higher-dimensional GIS}}.\@ Ken Arroyo Ohori, Hugo Ledoux and Jantien Stoter. \emph{International Journal of Geographical Information Science} 29(5), May 2015, pp. 825--849.} \newcommand{\paperijgisextrusion}{\item[\href{http://dx.doi.org/10.1080/13658816.2015.1010535}{►}] \href{http://dx.doi.org/10.1080/13658816.2015.1010535}{\textbf{A dimension-independent extrusion algorithm using generalised maps}}. Ken Arroyo Ohori, Hugo Ledoux and Jantien Stoter. \emph{International Journal of Geographical Information Science} 29(7), July 2015, pp. 1166--1186.} \newcommand{\paperijgind}{\item[\href{http://dx.doi.org/10.3390/ijgi4031055}{►}] \href{http://dx.doi.org/10.3390/ijgi4031055}{\textbf{Modelling a 3D city model and its levels of detail as a true 4D model}}. Ken Arroyo Ohori, Hugo Ledoux, Filip Biljecki and Jantien Stoter. \emph{ISPRS International Journal of Geo-Information}, 4(3), September 2015, pp. 1055--1075.} \newcommand{\paperisprsnd}{\item[\href{http://dx.doi.org/10.5194/isprsannals-II-2-W2-1-2015}{►}] \href{http://dx.doi.org/10.5194/isprsannals-II-2-W2-1-2015}{\textbf{Storing a 3D city model, its levels of detail and the correspondences between objects as a 4D combinatorial map}}. Ken Arroyo Ohori, Hugo Ledoux and Jantien Stoter. In Alias Abdul Rahman, Umit Isikdag and Francesc Ant\'on Castro (eds.), Joint International Geoinformation Conference 2015, 28--30 October 2015, Kuala Lumpur, Malaysia, ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences II--2/W2, ISPRS, Kuala Lumpur, Malaysia, October 2015, pp. 1--8.} \newcommand{\paperudmvobj}{\item[\href{http://dx.doi.org/10.2312/udmv.20151345}{►}] \href{http://dx.doi.org/10.2312/udmv.20151345}{\textbf{Automatic semantic-preserving conversion between OBJ and CityGML}}. Filip Biljecki and Ken Arroyo Ohori. In F. Biljecki and V. Tourre (eds.), \emph{Eurographics Workshop on Urban Data Modelling and Visualisation}, Eurographics Association, Delft, The Netherlands, November 2015, pp. 25--30.} \newcommand{\paperijgisroeland}{\item[\href{http://dx.doi.org/10.1080/13658816.2015.1072201}{►}] \href{http://dx.doi.org/10.1080/13658816.2015.1072201}{\textbf{Automatically enhancing CityGML LOD2 models with a corresponding indoor geometry}}. Roeland Boeters, Ken Arroyo Ohori, Filip Biljecki and Sisi Zlatanova. \emph{International Journal of Geographical Information Science} 29(12), December 2015, pp. 2248--2268.} \newcommand{\papermethodsxvoxelisation}{\item[\href{http://dx.doi.org/10.1016/j.mex.2016.01.001}{►}] \href{http://dx.doi.org/10.1016/j.mex.2016.01.001}{\textbf{Voxelization algorithms for geospatial applications: Computational methods for voxelating spatial datasets of 3D city models containing 3D surface, curve and point data models}}. Pirouz Nourian, Romulo Gon\c{c}alves, Sisi Zlatanova, Ken Arroyo Ohori and Anh Vu Vo. \emph{MethodsX} 3, January 2016, pp. 69--86.} % \nofiles% \begin{document} % Front cover \includepdf{cover-front.pdf} % Sloppy spacing works better for small paper sizes: better than text outside margin, esp. because of marginpars \sloppy \frontmatter \newgeometry{top=2.170cm, bottom=3.510cm, inner=2.1835cm, outer=2.1835cm, ignoremp} \input{pre} % No colour links in tables of contents and list of figures \cleardoublepage% \tableofcontents % \cleardoublepage% \listoffigures % \cleardoublepage% % \listoftables \restoregeometry% \mainmatter% % Lengths used for page head \newlength{\overflowingheadlen} \setlength{\overflowingheadlen}{\linewidth} \addtolength{\overflowingheadlen}{\marginparsep} \addtolength{\overflowingheadlen}{\marginparwidth} % Page style for preface \renewpagestyle{scrheadings}{ {\hspace{-\marginparwidth}\hspace{-\marginparsep}\makebox[\overflowingheadlen][l]{\makebox[2em][r]{\thepage}\quad\rule{1pt}{100pt}\quad{}Preface}}% {\makebox[\overflowingheadlen][r]{\rightmark\quad\rule{1pt}{100pt}\quad\makebox[2em][l]{\thepage}}}% {} }{ {}% {}% {} } \renewpagestyle{plain.scrheadings}{ {}% {}% {} }{ {\thepage}% {\makebox[\overflowingheadlen][r]{\thepage}}% {} } \input{preface} % Page style for chapters \renewpagestyle{scrheadings}{ {\hspace{-\marginparwidth}\hspace{-\marginparsep}\makebox[\overflowingheadlen][l]{\makebox[2em][r]{\thepage}\quad\rule{1pt}{100pt}\quad{}\leftmark}}% {\makebox[\overflowingheadlen][r]{\rightmark\quad\rule{1pt}{100pt}\quad\makebox[2em][l]{\thepage}}}% {} }{ {}% {}% {} } \renewpagestyle{plain.scrheadings}{ {}% {}% {} }{ {\thepage}% {\makebox[\overflowingheadlen][r]{\thepage}}% {} } \input{introduction} \setpartpreamble{ \vspace{3cm} \begin{center} \includegraphics[width=0.8\linewidth]{figs/gmaps-3d-simplices} \end{center} } \newgeometry{top=2.170cm, bottom=3.510cm, inner=2.1835cm, outer=2.1835cm, ignoremp} \part{Representing geographic information} \label{pa:representation} \restoregeometry% % The underlying 3D simplicial complex in the representation of a cube as a 3D generalised map. \input{math} \input{modelling-background} \input{nd-modelling} \setpartpreamble{ \vspace{5cm} \includegraphics[width=\linewidth]{figs/extrusion-steps} } \newgeometry{top=2.170cm, bottom=3.510cm, inner=2.1835cm, outer=2.1835cm, ignoremp} \part{Constructing and manipulating objects} \label{pa:operations} \restoregeometry% \input{operations-background} \input{extrusion} \input{incremental-construction} \input{linking-lods} \input{slicing} \bookmarksetup{startatroot} \addtocontents{toc}{\medskip\bigskip} \input{cleaning} \input{conclusions} \appendix% \addtocontents{toc}{\medskip\bigskip} \input{implementation} \cleardoublepage% \renewpagestyle{scrheadings}{ {\makebox[2em][r]{\thepage}\quad\rule{1pt}{100pt}\quad\leftmark}% {\hfill\rightmark\quad\rule{1pt}{100pt}\quad\makebox[2em][l]{\thepage}}% {} }{ {}% {}% {} } \renewpagestyle{plain.scrheadings}{ {}% {}% {} }{ {\thepage}% {\hfill\thepage}% {} } \newgeometry{top=2.170cm, bottom=3.510cm, inner=2.1835cm, outer=2.1835cm, ignoremp} \input{dictionary} \addtocontents{toc}{\medskip\bigskip} \backmatter% % Bibliograhy \bibliographystyle{plainnat} {\small\bibliography{docs}} \restoregeometry% % Page style for back matter \renewpagestyle{scrheadings}{ {\hspace{-\marginparwidth}\hspace{-\marginparsep}\makebox[\overflowingheadlen][l]{\makebox[2em][r]{\thepage}\quad\rule{1pt}{100pt}\quad\leftmark}}% {\makebox[\overflowingheadlen][r]{\rightmark\quad\rule{1pt}{100pt}\quad\makebox[2em][l]{\thepage}}}% {} }{ {}% {}% {} } \renewpagestyle{plain.scrheadings}{ {}% {}% {} }{ {\thepage}% {\makebox[\overflowingheadlen][r]{\thepage}}% {} } \cleardoublepage% \label{thesis:back} \pdfbookmark[-1]{Back matter}{thesis:back} \input{summary} \input{cv} % Back cover \clearpage \thispagestyle{empty} \null% \clearpage \includepdf{cover-back.pdf} \end{document}