메뉴 건너뛰기




Volumn 26, Issue 3, 2007, Pages

Geometry of multi-layer freeform structures for architecture

Author keywords

Curvatures; Discrete differential geometry; Edge offset; Hexagonal mesh; Koebe polyhedron; Multi layer construction; Offset mesh; Parallel mesh; Support structure; Surfaces in architecture

Indexed keywords

CURVATURES; DISCRETE DIFFERENTIAL GEOMETRY; EDGE OFFSETS; HEXAGONAL MESH; KOEBE POLYHEDRON; MULTI LAYER CONSTRUCTION; PARALLEL MESH;

EID: 34547673005     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/1276377.1276458     Document Type: Article
Times cited : (118)

References (36)
  • 4
    • 25144479070 scopus 로고    scopus 로고
    • Discrete isothermic surfaces
    • BOBENKO, A., AND PINKALL, U. 1996. Discrete isothermic surfaces. J. Reine Angew. Math. 475, 187-208.
    • (1996) J. Reine Angew. Math , vol.475 , pp. 187-208
    • BOBENKO, A.1    PINKALL, U.2
  • 5
    • 0742271500 scopus 로고    scopus 로고
    • Variational principles for circle patterns and Koebe's theorem
    • BOBENKO, A., AND SPRINGBORN, B. 2004. Variational principles for circle patterns and Koebe's theorem. Trans. Amer. Math. Soc. 356, 659-689.
    • (2004) Trans. Amer. Math. Soc , vol.356 , pp. 659-689
    • BOBENKO, A.1    SPRINGBORN, B.2
  • 7
    • 34547411513 scopus 로고    scopus 로고
    • On organizing principles of discrete differential geometry, geometry of spheres
    • BOBENKO, A., AND SURIS, YU. 2007. On organizing principles of discrete differential geometry, geometry of spheres. Russian Math. Surveys 62, 1, 1-43.
    • (2007) Russian Math. Surveys , vol.62 , Issue.1 , pp. 1-43
    • BOBENKO, A.1
  • 8
    • 33748526484 scopus 로고    scopus 로고
    • Minimal surfaces from circle patterns: Geometry from combinatorics
    • BOBENKO, A., HOFFMANN, T., AND SPRINGBORN, B. 2006. Minimal surfaces from circle patterns: Geometry from combinatorics. Ann. of Math. 164, 231-264.
    • (2006) Ann. of Math , vol.164 , pp. 231-264
    • BOBENKO, A.1    HOFFMANN, T.2    SPRINGBORN, B.3
  • 9
    • 34547707325 scopus 로고    scopus 로고
    • Tragstruktur für Freiformflächen in Bauwerken
    • Patent No. A1049/2006
    • BRELL-COKCAN, S., AND POTTMANN, H., 2006. Tragstruktur für Freiformflächen in Bauwerken. Patent No. A1049/2006.
    • (2006)
    • BRELL-COKCAN, S.1    POTTMANN, H.2
  • 13
    • 26444600734 scopus 로고    scopus 로고
    • A parametric strategy for freeform glass structures using quadrilateral planar facets
    • ACM
    • GLYMPH, J., SHELDEN, D., CECCATO, C., MUSSEL, J., AND SCHOBER, H. 2002. A parametric strategy for freeform glass structures using quadrilateral planar facets. In Acadia 2002, ACM, 303-321.
    • (2002) Acadia 2002 , pp. 303-321
    • GLYMPH, J.1    SHELDEN, D.2    CECCATO, C.3    MUSSEL, J.4    SCHOBER, H.5
  • 14
    • 4243966859 scopus 로고    scopus 로고
    • Constant mean curvature surfaces derived from Delaunay's and Wente's examples
    • Springer
    • GROSSE-BRAUCKMANN, K., AND POLTHIER, K. 1997. Constant mean curvature surfaces derived from Delaunay's and Wente's examples. In Visualization and mathematics. Springer, 119-134.
    • (1997) Visualization and mathematics , pp. 119-134
    • GROSSE-BRAUCKMANN, K.1    POLTHIER, K.2
  • 15
    • 34547696231 scopus 로고    scopus 로고
    • Discrete rotational CMC surfaces and the elliptic billiard
    • H. C. Hege and K. Polthier, Eds. Springer
    • HOFFMANN, T. 1998. Discrete rotational CMC surfaces and the elliptic billiard. In Mathematical Visualization, H. C. Hege and K. Polthier, Eds. Springer, 117-124.
    • (1998) Mathematical Visualization , pp. 117-124
    • HOFFMANN, T.1
  • 17
    • 33749258553 scopus 로고    scopus 로고
    • Geometric modeling with conical meshes and developable surfaces
    • LIU, Y., POTTMANN, H., WALLNER, J., YANG, Y.-L., AND WANG, W. 2006. Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graphics 25, 3, 681-689.
    • (2006) ACM Trans. Graphics , vol.25 , Issue.3 , pp. 681-689
    • LIU, Y.1    POTTMANN, H.2    WALLNER, J.3    YANG, Y.-L.4    WANG, W.5
  • 18
    • 34547714326 scopus 로고    scopus 로고
    • An overview of offset curves and surfaces
    • MAEKAWA, T. 1999. An overview of offset curves and surfaces. Computer-Aided Design 31, 251-267.
    • (1999) Computer-Aided Design , vol.31 , pp. 251-267
    • MAEKAWA, T.1
  • 19
    • 0032478012 scopus 로고    scopus 로고
    • Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method
    • NISHIKAWA, Y., ET AL. 1998. Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method. Langmuir 14, 1241-1249.
    • (1998) Langmuir , vol.14 , pp. 1241-1249
    • NISHIKAWA, Y.1    ET AL.2
  • 20
    • 0038485753 scopus 로고    scopus 로고
    • Composite primal/dual √3-subdivision schemes
    • OSWALD, P., AND SCHRÖDER, P. 2003. Composite primal/dual √3-subdivision schemes. Comp. Aid. Geom. Des. 20, 135-164.
    • (2003) Comp. Aid. Geom. Des , vol.20 , pp. 135-164
    • OSWALD, P.1    SCHRÖDER, P.2
  • 22
    • 34247519473 scopus 로고    scopus 로고
    • Unstable periodic discrete minimal surfaces
    • Springer
    • POLTHIER, K. 2002. Unstable periodic discrete minimal surfaces. In Nonlinear Partial Differential Equations. Springer, 127-143.
    • (2002) Nonlinear Partial Differential Equations , pp. 127-143
    • POLTHIER, K.1
  • 23
    • 34547705789 scopus 로고    scopus 로고
    • The focal geometry of circular and conical meshes
    • to appear
    • POTTMANN, H., AND WALLNER, J. 2007. The focal geometry of circular and conical meshes. Adv. Comput. Math. to appear.
    • (2007) Adv. Comput. Math
    • POTTMANN, H.1    WALLNER, J.2
  • 26
    • 33745458246 scopus 로고    scopus 로고
    • On a maximum principle for minimal surfaces and their integrable discrete counterparts
    • SCHIEF, W. K. 2006. On a maximum principle for minimal surfaces and their integrable discrete counterparts. J. Geom. Physics 56, 1484-1495.
    • (2006) J. Geom. Physics , vol.56 , pp. 1484-1495
    • SCHIEF, W.K.1
  • 27
    • 34547704258 scopus 로고    scopus 로고
    • SCHMITT, N., 2003. Noid. Java Applet, http://www-sfb288.math. tu-berlin.de/~nick/Noid/NoidApplet.html.
    • (2003) Noid. Java Applet
    • SCHMITT, N.1
  • 30
    • 4644267032 scopus 로고    scopus 로고
    • Freeform glass structures
    • Glass Processing Days, Tampere Fin
    • SCHOBER, H. 2003. Freeform glass structures. In Glass Processing Days 2003. Glass Processing Days, Tampere (Fin.), 46-50.
    • (2003) Glass Processing Days 2003 , pp. 46-50
    • SCHOBER, H.1
  • 31
    • 0000462210 scopus 로고    scopus 로고
    • Circle patterns with the combinatorics of the square grid
    • SCHRAMM, O. 1997. Circle patterns with the combinatorics of the square grid. Duke Math. J. 86, 347-389.
    • (1997) Duke Math. J , vol.86 , pp. 347-389
    • SCHRAMM, O.1
  • 32
    • 34547721249 scopus 로고    scopus 로고
    • editor. Java Applet
    • SECHELMANN, S., 2006. Koebe polyhedron editor. Java Applet, http://www.math.tu-berlin.de/geometrie/ps/software.shtml.
    • (2006) Koebe polyhedron
    • SECHELMANN, S.1
  • 34
    • 33749238061 scopus 로고    scopus 로고
    • The aesthetic value of optimal geometry
    • M. Emmer, Ed. MIT Press
    • SULLIVAN, J. 2005. The aesthetic value of optimal geometry. In The Visual Mind II, M. Emmer, Ed. MIT Press, 547-563.
    • (2005) The Visual Mind II , pp. 547-563
    • SULLIVAN, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.