메뉴 건너뛰기




Volumn 29, Issue 3, 2008, Pages 249-268

The focal geometry of circular and conical meshes

Author keywords

Architectural design; Circular meshes; Conical meshes; Discrete differential geometry; Focal meshes; Geometric modeling; Integrable systems; Offset meshes; Quadrilateral meshes

Indexed keywords


EID: 55049118713     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-007-9045-4     Document Type: Article
Times cited : (62)

References (27)
  • 4
    • 33748526484 scopus 로고    scopus 로고
    • Minimal surfaces from circle patterns: Geometry from combinatorics
    • A. Bobenko T. Hoffmann B. Springborn 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
  • 7
    • 34547411513 scopus 로고    scopus 로고
    • On organizing principles of discrete differential geometry, geometry of spheres
    • A. Bobenko Yu. Suris 2007 On organizing principles of discrete differential geometry, geometry of spheres Russian Math. Surveys 62 1 43
    • (2007) Russian Math. Surveys , vol.62 , pp. 1-43
    • Bobenko, A.1    Suris, Yu.2
  • 9
    • 0039245205 scopus 로고    scopus 로고
    • The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
    • J. Cieśliński A. Doliwa P.M. Santini 1997 The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices Phys. Lett. A 235 480 488
    • (1997) Phys. Lett. a , vol.235 , pp. 480-488
    • Cieśliński, J.1    Doliwa, A.2    Santini, P.M.3
  • 12
    • 0003024768 scopus 로고    scopus 로고
    • ∂combining macron-reductions of the multidimensional quadrilateral lattice. the multidimensional circular lattice
    • A. Doliwa S.V. Manakov P.M. Santini 1998 ∂combining macron-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice Comm. Math. Phys. 196 1 18
    • (1998) Comm. Math. Phys. , vol.196 , pp. 1-18
    • Doliwa, A.1    Manakov, S.V.2    Santini, P.M.3
  • 13
    • 0000894684 scopus 로고    scopus 로고
    • Multidimensional quadrilateral lattices are integrable
    • 4-6
    • A. Doliwa P.M. Santini 1997 Multidimensional quadrilateral lattices are integrable Phys. Lett. A 233 4-6 365 372
    • (1997) Phys. Lett. a , vol.233 , pp. 365-372
    • Doliwa, A.1    Santini, P.M.2
  • 14
    • 0034342507 scopus 로고    scopus 로고
    • Transformations of quadrilateral lattices
    • A. Doliwa P.M. Santini M. Mañas 2000 Transformations of quadrilateral lattices J. Math. Phys. 41 944 990
    • (2000) J. Math. Phys. , vol.41 , pp. 944-990
    • Doliwa, A.1    Santini, P.M.2    Mañas, M.3
  • 16
  • 17
    • 77954004435 scopus 로고    scopus 로고
    • Geometric modeling with conical meshes and developable surfaces
    • 3. In: Proc. SIGGRAPH 2006
    • Y. Liu H. Pottmann J. Wallner Y. Yang W. Wang 2006 Geometric modeling with conical meshes and developable surfaces ACM Trans. Graph. 25 3 681 689 In: Proc. SIGGRAPH 2006
    • (2006) ACM Trans. Graph. , vol.25 , pp. 681-689
    • Liu, Y.1    Pottmann, H.2    Wallner, J.3    Yang, Y.4    Wang, W.5
  • 18
    • 0001827624 scopus 로고    scopus 로고
    • Darboux transformations for multidimensional quadrilateral lattices. I
    • M. Mañas A. Doliwa P.M. Santini 1997 Darboux transformations for multidimensional quadrilateral lattices. I Phys. Lett., A 232 99 105
    • (1997) Phys. Lett., a , vol.232 , pp. 99-105
    • Mañas, M.1    Doliwa, A.2    Santini, P.M.3
  • 21
    • 55049131480 scopus 로고    scopus 로고
    • Generalized principal meshes and their support structures
    • preprint No. 158. Technische Universität Wien
    • Pottmann, H.: Generalized principal meshes and their support structures. Geometry preprint No. 158. Technische Universität Wien (2006)
    • (2006) Geometry
    • Pottmann, H.1
  • 23
    • 0008982002 scopus 로고
    • Parallelogrammgitter als modelle pseudosphärischer Flächen
    • R. Sauer 1950 Parallelogrammgitter als modelle pseudosphärischer Flächen Math. Z. 52 611 622
    • (1950) Math. Z. , vol.52 , pp. 611-622
    • Sauer, R.1
  • 25
    • 41149155998 scopus 로고    scopus 로고
    • Infinitesimally flexible meshes and discrete minimal surfaces
    • (to appear)
    • Wallner, J., Pottmann, H.: Infinitesimally flexible meshes and discrete minimal surfaces. Monatsh. Math. (to appear)
    • Monatsh. Math.
    • Wallner, J.1    Pottmann, H.2
  • 26
    • 41149086097 scopus 로고    scopus 로고
    • An angle criterion for conical mesh vertices
    • preprint No. 157 Technische Universität Wien.
    • Wang, W., Wallner, J., Liu, Y.: An angle criterion for conical mesh vertices. Geometry preprint No. 157 (2006). Technische Universität Wien. http://www.geometrie.tuwien.ac.at/ig/papers/tr157.pdf
    • (2006) Geometry
    • Wang, W.1    Wallner, J.2    Liu, Y.3
  • 27
    • 0009079135 scopus 로고
    • Zur Differenzengeometrie der Flächen konstanter negativer Krümmung
    • W. Wunderlich 1951 Zur Differenzengeometrie der Flächen konstanter negativer Krümmung Sitzungsber. - Osterr. Akad. Wiss. 160 41 77
    • (1951) Sitzungsber. - Osterr. Akad. Wiss. , vol.160 , pp. 41-77
    • Wunderlich, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.