IDEAS home Printed from https://ideas.repec.org/h/spr/lnopch/978-3-031-92575-7_11.html
   My bibliography  Save this book chapter

3D Roof Reconstruction with a Mixed Integer Linear Program

Author

Listed:
  • Steffen Goebbels

    (iPattern Institute, Niederrhein University of Applied Sciences)

  • Jochen Rethmann

    (iPattern Institute, Niederrhein University of Applied Sciences)

Abstract

Many of the 3D city models offered by the German federal states were created using a model-driven approach based on airborne laser scanning point clouds. The method consists of dividing the building footprint into small regions, for each of which a parameterized standard roof shape is chosen from a catalog in such a way that it best matches the point cloud of the corresponding roof area. A model-based approach usually means that small structures such as dormers are lost. However, these structures affect the gradient and position of the model roof segments. To obtain more accurate main roof facets that can be used as the basis for adding higher level of detail objects, a correction is required. The best plane equation of each roof facet of the given model is estimated from the point cloud using the Random Sampling Consensus (RANSAC) algorithm. If a model facet needs to be adjusted, its boundary polygon has to be recalculated. This is done with a mixed integer linear program, which changes the positions of the vertices so that they lie on as many roof planes as possible. Vertices on the cadastral footprint are allowed to be moved only on the footprint, other vertices have to stay within the (not necessarily convex) footprint polygon. In this paper, such a program is presented and applied to city models of North Rhine-Westphalia.

Suggested Citation

  • Steffen Goebbels & Jochen Rethmann, 2025. "3D Roof Reconstruction with a Mixed Integer Linear Program," Lecture Notes in Operations Research,, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-92575-7_11
    DOI: 10.1007/978-3-031-92575-7_11
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:lnopch:978-3-031-92575-7_11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.