Veröffentlichungen
2023
Bradley, P. E. (2023). Heat Equations and Wavelets on Mumford Curves and Their Finite Quotients. Journal of Fourier Analysis and Applications, 29 (5), Art.-Nr.: 62. doi:10.1007/s00041-023-10046-y
Bradley, P. E.; Ledezma, Á. M. (2023). Hearing shapes via p -adic Laplacians. Journal of Mathematical Physics, 64 (11), Art.-Nr. 113502. doi:10.1063/5.0152374
2022
Bradley, P. E.; Jahn, M. W. (2022). On the Behaviour of p-Adic Scaled Space Filling Curve Indices for High-Dimensional Data. The computer journal, 65 (2), 310–330. doi:10.1093/comjnl/bxaa036
Jahn, M. W.; Bradley, P. E. (2022). Topological Access Methods for Spatial and Spatiotemporal Data. ISPRS International Journal of Geo-Information, 11 (10), 533. doi:10.3390/ijgi11100533
Jahn, M. W.; Bradley, P. E. (2022). A Robustness Study for the Extraction of Watertight Volumetric Models from Boundary Representation Data. ISPRS International Journal of Geo-Information, 11 (4), Artk.Nr.: 224. doi:10.3390/ijgi11040224
2021
Bradley, P. E. (2021). p-Adic Wave Equations on Finite Graphs and T 0-Spaces. Advances in Non-Archimedean Analysis and Applications. Hrsg.: W. A. Zúñiga-Galindo, Bourama Toni, 275–295, Springer International Publishing. doi:10.1007/978-3-030-81976-7_8
Jahn, M. W.; Bradley, P. E. (2021). Computing watertight volumetric models from boundary representations to ensure consistent topological operations. ISPRS annals, VIII-4/W2-2021, 21–28. doi:10.5194/isprs-annals-VIII-4-W2-2021-21-2021
Rebmeister, M.; Schenk, A.; Bradley, P. E.; Dörr, N.; Hinz, S. (2021). OCLeaS – A tomographic PSI Algorithm using Orthogonal Matching Pursuit and Complex Least Squares. Procedia computer science, 181, 220–230. doi:10.1016/j.procs.2021.01.143
2020
Bradley, P. E. (2020). Generalised Diffusion on Moduli Spaces of p-Adic Mumford Curves. P-adic numbers, ultrametric analysis, and applications, 12 (2), 73–89. doi:10.1134/S2070046620020016
Breunig, M.; Bradley, P. E.; Jahn, M.; Kuper, P.; Mazroob, N.; Rösch, N.; Al-Doori, M.; Stefanakis, E.; Jadidi, M. (2020). Geospatial Data Management Research: Progress and Future Directions. ISPRS International Journal of Geo-Information, 9 (2), 95. doi:10.3390/ijgi9020095
Heublein, M.; Bradley, P. E.; Hinz, S. (2020). Observing geometry effects on a Global Navigation Satellite System (GNSS)-based water vapor tomography solved by least squares and by compressive sensing. Annales geophysicae, 38 (1), 179–189. doi:10.5194/angeo-38-179-2020
2019
Bradley, P. E. (2019). Methodology for the sequence analysis of building stocks. Building research and information, 47 (2), 141–155. doi:10.1080/09613218.2018.1380343
Bradley, P. E. (2019). On the Logistic Behaviour of the Topological Ultrametricity of Data. Journal of classification, 36 (2), 266–276.
Bradley, P. E.; Behnisch, M. (2019). Heavy-tailed distributions for building stock data. Environment and planning / B, 46 (7), 1281–1296. doi:10.1177/2399808318794499
Giovanella, A.; Bradley, P. E.; Wursthorn, S. (2019). Evaluation of Topological Consistency in CityGML. ISPRS International Journal of Geo-Information, 8 (6), Article: 278. doi:10.3390/ijgi8060278
2018
Bradley, P. E.; Paul, N. (2018). Topologically Consistent Space, Time, Version, and Scale Using Alexandrov Topologies. Contemporary Strategies and Approaches in 3-D Information Modeling. Ed.: B. Kumar, 52–82, IGI Global. doi:10.4018/978-1-5225-5625-1.ch003
Bradley, P. E.; Keller, S.; Weinmann, M. (2018). Unsupervised Feature Selection Based on Ultrametricity and Sparse Training Data: A Case Study for the Classification of High-Dimensional Hyperspectral Data. Remote sensing, 10 (10), Art.Nr.: 1564. doi:10.3390/rs10101564
Giovanella, A.; Bradley, P. E.; Wursthorn, S. (2018). Detection and evaluation of topological consistency in CityGML datasets. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, TC IV Mid-Term Symposium on 3D Spatial Information Science - The Engine of Change; Delft; NL, October 1-5, 2018, 59–66, Copernicus Publications. doi:10.5194/isprs-annals-IV-4-59-2018
2017
Bradley, P. E. (2017). Finding Ultrametricity in Data using Topology. Journal of classification, 34 (1), 76–84. doi:10.1007/s00357-017-9228-8
Jahn, M. W.; Bradley, P. E.; Al Doori, M.; Breunig, M. (2017). Topologically Consistent Models for Efficient Big Geo-Spatio-Temporal Data Distribution. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 12th 3D Geoinfo Conference 2017, Melbourne, Australia, 26th - 27th October 2017, 65–72, Copernicus Publications. doi:10.5194/isprs-annals-IV-4-W5-65-2017
2016
Bradley, P. E. (2016). Ultrametricity indices for the Euclidean and Boolean hypercubes. P-adic numbers, ultrametric analysis, and applications, 8 (4), 298–311. doi:10.1134/S2070046616040038
2015
Bradley, P. E. (2015). Supporting Data Analytics for Smart Cities : An Overview of Data Models and Topology. Statistical Learning and Data Sciences : Proceedings of the 3rd International Symposium, SLDS 2015, Egham, UK, 20th - 23rd April 2015. Ed.: A. Gammerman, 406–413, Springer. doi:10.1007/978-3-319-17091-6_35
Bradley, P. E.; Braun, A. C. (2015). Finding the Asymptotically Optimal Baire Distance for Multi-Channel Data. Applied mathematics, 06 (3), 484–495. doi:10.4236/am.2015.63046
Buchmann, E.; Bradley, P. E.; Böhm, K. (2015). Deriving Bounds on the Size of Spatial Areas. Open Journal of Databases, 2 (1), 1–16.
Paul, N.; Bradley, P. E. (2015). Integrating Space, Time, Version, and Scale using Alexandrov Topologies. International journal of 3-D information modeling, 4 (4), 64–85. doi:10.4018/IJ3DIM.2015100104
2014
Bradley, P. E.; Paul, N. (2014). Comparing G-maps with other topological data structures. Geoinformatica, 18 (3), 595–620. doi:10.1007/s10707-013-0191-1
Paul, N.; Bradley, P. E. (2014). Eine Erweiterung des Relationalen Modells zur Repräsentation räumlichen Wissens. Datenbank-Spektrum, 14 (3), 223–235. doi:10.1007/s13222-014-0163-0
2013
Paul, N.; Bradley, P. E.; Breunig, M. (2013). Integrating Space, Time, Version and Scale Using Alexandrov Topologies [Preprint]. arXiv [cs.DB], arXiv:1303.2595.
2012
Bradley, P. E. (2012). p-adic Methods in Stereo Vision. Challenges at the Interface of Data Analysis, Computer Science, and Optimization - Proceedings of the 34th Annual Conference of the Gesellschaft für Klassifikation e. V., Karlsruhe, July 21-23, 2010. Ed.: W. A. Gaul, 173–182, Springer Verlag. doi:10.1007/978-3-642-24466-7_18
2011
Bradley, P. E.; Jutzi, B. (2011). Improved feature detection in fused intensity-range images with Complex SIFT (C SIFT). Remote sensing, 3 (9), 2076–2088. doi:10.3390/rs3092076
2010
Bestehorn, M.; Böhm, K.; Bradley, P. E.; Buchmann, E. (2010). Deriving Spatio-temporal Query Results in Sensor Networks. Scientific and statistical database management : Proceedings of the 22nd international conference, SSDBM 2010, Heidelberg, Germany, 30th June - 2nd July 2010. Ed.: M. Gertz, 6–23, Springer Verlag. doi:10.1007/978-3-642-13818-8_3
Bradley, P. E. (2010). An ultrametric interpretation of building related event data. Construction Management and Economics, 28 (3), 311–326. doi:10.1080/01446190903473790
Bradley, P. E. (2010). A p-adic RanSaC algorithm for stereo vision using Hensel lifting. P-adic numbers, ultrametric analysis, and applications, 2 (1), 55–67.
Bradley, P. E. (2010). Mumford dendrograms. The Computer Journal, 53 (4), 393–404. doi:10.1093/comjnl/bxm088
Bradley, P. E. (2010). From image processing to topological modelling with p-adic numbers. P-adic numbers, ultrametric analysis, and applications, 2 (4), 293–304.
Bradley, P. E.; Paul, N. (2010). Using the relational model to capture topological information of spaces. The Computer Journal, 53 (1), 69–89. doi:10.1093/comjnl/bxn054
2009
Bradley, P. E. (2009). On p-adic Classification. P-Adic Numbers, Ultrametric Analysis, and Application, 1 (4), 271–285.
Bradley, P. E. (2009). Mumford dendrograms and discret p-adic symmetries. P-Adic Numbers, Ultrametric Analysis, and Applications, 1 (2), 118–127.
2008
Bradley, P. E. (2008). Counting plane Mumford curves. Proceedings of the 5th Summer School in Modern Mathematical Physics, MPHYS5, Belgrade, Serbia, 6th -17th July 2008. Ed.: B. Dragovich, 51–64.
Bradley, P. E. (2008). Families of Dendrograms. Data Analysis, Machine Learning and Applications : Proceedings of the 31st Annual Conference of the Gesellschaft für Klassifikation e.V., Freiburg, Germany, 7th - 9th March 2007. Ed.: C. Preisach, 95–102, Springer Verlag. doi:10.1007/978-3-540-78246-9_12
Bradley, P. E. (2008). Degenerating Families of Dendrograms. Journal of classification, 25 (1), 27–42. doi:10.1007/s00357-008-9009-5
2007
Bradley, P. E. (2007). Cyclic coverings of the p-adic projective line by Mumford curves. Manuscripta mathematica, 124 (1), 77–95. doi:10.1007/s00229-007-0120-4
Bradley, P. E.; Kohler, N. (2007). Methodology for the survival analysis of urban building stocks. Building research and information, 35 (5), 529–542. doi:10.1080/09613210701266939
2005
Bischoff, W.; Bradley, P. E.; Ferrara, C.; Kohler, N. (2005). Überlebensanalyse von Gebäudebeständen : Das Beispiel der Stadt Ettlingen. Stadtforschung und Statistik, 1 (5), 32–35.
Bradley, P. E. (2005). Riemann existence theorems of Mumford type. Mathematische Zeitschrift, 251 (2), 393–414. doi:10.1007/s00209-005-0808-7
Bradley, P. E.; Buergel-Goodwin, E.; Ferrara, C. (2005). Survival functions of buildings and building elements. Proceedings of the 10th DBMC International Conference on Durability of Building Materials and Components, Lyon, France, 17th - 20th April 2005, Art.Nr. TT8–65.
Bradley, P. E.; Buergel-Goodwin, E.; Ferrara, C.; Kohler, N. (2005). Survival functions of building stocks and components. Proceedings of the 2005 World Sustainable Building Conference, Tokyo, Japan, 28th - 29th September 2005.
Bradley, P. E.; Ferrara, C.; Kohler, N. (2005). Estimating survival functions of building stocks. Proceedings of the 10th DBMC International Conference on Durability of Building Materials and Components, Lyon, France, 17th - 20th April 2005, Art.Nr. TT5–63.
Paul, N.; Bradley, P. E. (2005). Relationale Datenbanken für die Topologie architektonischer Räume. 17. Forum Bauinformatik Junge Wissenschaftler forschen, Cottbus, Germany, 28. - 30. September, 2005, 10 S., Cottbus.
2004
Bradley, P. E. (2004). Eine Methode zur Schätzung des deutschen Bestandes an nichtlandwirtschaftlichen Betriebsgebäuden. Das Verschwinden der Bauten des Industriezeitalters : Lebenszyklen industrieller Baubestände und Methoden transdisziplinärer Forschung. Hrsg.: U. Hassler, 117–120, Wasmuth.
Bradley, P. E. (2004). Einführung in die Überlebensanalyse von Gebäudebeständen. Das Verschwinden der Bauten des Industriezeitalters : Lebenszyklen industrieller Baubestände und Methoden transdisziplinärer Forschung. Hrsg.: U. Hassler, 256–257, Wasmuth.
2003
Paul, N.; Bradley, P. E. (2003). Topological houses. Digital proceedings / IKM 2003, proceedings 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : 10. - 12. Juni 2003, Weimar / Bauhaus-Universität Weimar. Ed.: K. Gürlebeck; L. Hempel; C. Könke, 6 S., Fakultät für Bauingenieurwesen.
2002
Bradley, P. E. (2002). p-adische Hurwitzräume [online]. Dissertation. Fak. f. Mathematik, Diss. v. 26.6.2002., Universität Karlsruhe (TH). doi:10.5445/IR/3712002