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Modeling an embankment with a natural slope

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Warianty tytułu
PL
Modelowanie nasypów o naturalnym nachyleniu
Języki publikacji
EN
Abstrakty
EN
The paper presents a geometric characterization of models of embankments with a natural slope and discusses the relationship of these models with roof skeletons (straight skeletons), Voronoi diagrams for polygons (medial axis) and offset curves. Authors show AutoCAD commands, which can be used to generate geometric models of the embankments of any base.
PL
W pracy przedstawiono geometryczną charakteryzację modeli nasypów o naturalnym kącie nachylenia powierzchni stokowej tworzącej nasyp. Wskazano na ich powiązanie ze szkieletami dachów (prostymi szkieletami) i diagramami Voronoi dla wielokątów. Pokazano za pomocą jakich poleceń programu AutoCAD można realizować geometryczne modele nasypów o dowolnej podstawie.
Twórcy
  • Bialystok University of Technology, Faculty of Civil and Environmental Engineering, Division of Spatial Information ul. Wiejska 45E, 15-351 Białystok, POLAND
autor
  • Bialystok University of Technology, Faculty of Civil and Environmental Engineering, Division of Spatial Information ul. Wiejska 45E, 15-351 Białystok, POLAND
autor
  • Bialystok University of Technology, Faculty of Architecture, Department of Housing Architecture, Engineering Design Studio ul. Oskara Sosnowskiego 11, 15-893 Białystok, POLAND
Bibliografia
  • [1] Aichholzer O., Aurenhammer F., Alberts D., Gärtner B.: A Novel Type of Skeleton for Polygons. Journal of Universal Computer Science, Vol. 1, No. 12, 1995, 752-761.
  • [2] Aichholzer O., Aurenhammer F.: Straight Skeleton for General Polygonal Figures in the Plane. Proc. 2nd Annual International Conference Computing and Combinatorics. Lecture Notes in Computer Science 1090, Springer 1996, 117-126.
  • [3] Akel S., Kremeike K., Filin S., Sester M., Doytsher Y.: Dense DTM Generalization Aided by Roads Extracted from LIDAR Data. ISPRS III/3 III/4 V/3 Workshop “Laser scanning 2005”, Enschede, the Netherlands, September 12-14, 2005.
  • [4] Balbinot A. et al.: Dandelin’s Theorem and the Method of Substitution of Projective Plane. 12th International Conference on Geometry and Graphics, 6-10 August, 2006, Salvador, Brazil.
  • [5] Barequet G., Gooddrich M. T., Levi-Steiner A., Steiner D.: Straight-skeleton based contour interpolation. Symposium on Discrete Algorithms Archive. Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms, Baltimore, Maryland, 2003, 119-127.
  • [6] Brenner C.: City Models – Automation in Research and Practice. Photogrammetric Week ’01. D. Fritsch & R. Spiller, Eds. Wichmann Verlag, Heildelberg, 2001, 149-158.
  • [7] Dikaiakou M., Efthymiou A., Chrystantou Y.: Modelling the Walled City of Nicosia. The 4th International Symposium on Virtual Reality, Archaeology, and Intelligent Cultural Heritage, 2003.
  • [8] Eppstein D., Erickson J.: Raising Roofs, Crashing Cycles, and Playing Pool. Applications of a data structure for finding pairwise interactions, Disc. & Comp. Geometry, 22 (1999), 569-592.
  • [9] Flamanc D., Maillet G., Jibrini H.: 3D City Models: An Operational Approach Using Aerial Images and Cadastral Maps. ISPRS Archives, Vol. XXXIV, Part 3/W8, Munich, Sept. 2003.
  • [10] Haunert J. H., Sester M.: Using the Straight Skeleton for Generalisation in a Multiple Representation Environment. ICA Workshop on ‘Generalisation and Multiple Representation’ 20-21 August 2004 Leicester.
  • [11] Koźniewski E.: Geometry of Roofs from the View Point of Graph Theory. Journal for Geometry and Graphics. Vol. 8(2004a), No. 1, 41-58.
  • [12] Koźniewski E.: On the Existence of Shapes of Roof. Journal for Geometry and Graphics. Vol. 8(2004b), No. 2, 185-198.
  • [13] Koźniewski E.: Zastosowanie geometrii dachów do wyznaczania linii rozdziału urobku w robotach ziemnych ( An Application of the Roof Geometry in the Determination of the Border Line of Excavations in Earthwork). Zeszyty Naukowe Politechniki Gdańskiej Budownictwo Lądowe, Tom III(LIX), Nr 602, 2006, 215-222.
  • [14] Koźniewski E.: Geometria dachów. Teoria i zastosowanie (Geometry of Roofs. Theory and Applications). Wydawnictwo Politechniki Białostockiej, Białystok, 2007.
  • [15] Koźniewski E.: Offsets in Geometric Creation of Roof Skeletons with Varying Slope and Cut-and-Fill Problems in Topographic Projection. Journal Biuletyn of Polish Society for Geometry and Engineering Graphics. Vol. 21(2010), 29-35.
  • [16] Koźniewski E.: From 2D Mongean Projection to 3D Model in AutoCAD. Journal Biuletyn of Polish Society for Geometry and Engineering Graphics. Vol. 22(2011), 49- 53.
  • [17] Koźniewski E., Owerczuk J.: Geometric Model of Specially Created Embankment. Proceedings of the 19th Conference “Geometry, Graphics and Computer”. Ustroń, June 25-27, 2012.
  • [18] Laycock R, G., Day A., M.: Automatically Generating Roof Models from Building Footprints. The 11nd Annual International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision’2003, Plzen-Bory, Czech Republic, February 3-7, 2003.
  • [19] Mayya N., Rajan V. T.: Voronoi Diagrams of Polygons: A Framework for Shape Representation. Journal of Mathematical Imaging & Vision, 1994.
  • [20] Shroff A.V., Shah D. L.: Soil Mechanics and Geotechnical Engineering. A. A. Balkema Publishers, 2003, ISBN 90 5809 235 6.
  • [21] Schlei B. R., Prasad L., Skourikhine A. N.: Geometric Morphology of Granular Materials. CoRR: Computer Vision and Pattern Recognition (cs.CV). http://arxiv.org/abs/cs/0006047.
  • [22] Swift C., Leinemann K., Schaefer G.: Real Time Systems for Urban Modelling. Proc. 17th European Simulation Multiconference Nottingham, U.K., 2003, 411-416.
  • [23] Thom S.: A Strategy for Collapsing OS Integrated TransportTM Network. 8th ICA WORKSHOP on Generalization and Multiple Representation, A Coruna, July 7-8, 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bcc3dd89-f652-48ad-acb5-866b097c99bc
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