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    Generating realistic roofs over a rectilinear polygon

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    Type
    Conference Paper
    Authors
    Ahn, Heekap
    Bae, Sangwon
    Knauer, Christian
    Lee, Mira
    Shin, Chansu
    Vigneron, Antoine E. cc
    KAUST Department
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Computer Science Program
    Geometric Algorithms Group
    Date
    2011
    Permanent link to this record
    http://hdl.handle.net/10754/564348
    
    Metadata
    Show full item record
    Abstract
    Given a simple rectilinear polygon P in the xy-plane, a roof over P is a terrain over P whose faces are supported by planes through edges of P that make a dihedral angle π/4 with the xy-plane. In this paper, we introduce realistic roofs by imposing a few additional constraints. We investigate the geometric and combinatorial properties of realistic roofs, and show a connection with the straight skeleton of P. We show that the maximum possible number of distinct realistic roofs over P is ( ⌊(n-4)/4⌋ (n-4)/2) when P has n vertices. We present an algorithm that enumerates a combinatorial representation of each such roof in O(1) time per roof without repetition, after O(n 4) preprocessing time. We also present an O(n 5)-time algorithm for computing a realistic roof with minimum height or volume. © 2011 Springer-Verlag.
    Citation
    Ahn, H.-K., Bae, S. W., Knauer, C., Lee, M., Shin, C.-S., & Vigneron, A. (2011). Generating Realistic Roofs over a Rectilinear Polygon. Lecture Notes in Computer Science, 60–69. doi:10.1007/978-3-642-25591-5_8
    Publisher
    Springer Nature
    Journal
    Lecture Notes in Computer Science
    Conference/Event name
    22nd International Symposium on Algorithms and Computation, ISAAC 2011
    ISBN
    9783642255908
    DOI
    10.1007/978-3-642-25591-5_8
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-642-25591-5_8
    Scopus Count
    Collections
    Conference Papers; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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