Literature

Primary reading

  1. R. Sauer: Differenzengeometrie, Springer (1970)
    [library]
  2. A. I. Bobenko, Yu. B. Suris: Discrete Differential Geometry. Integrable Structure. American Mathematical Society (2008).
    [library, publisher's site, authors' site]

Further reading

  1. A. I. Bobenko, U. Pinkall: Discrete Isothermic Surfaces. J. reine angew. Math. 475 187–208 (1996).
    [read online]
  2. A. I. Bobenko, H. Pottmann, J. Wallner: A curvature theory for discrete surfaces based on mesh parallelity. Math. Ann., 348:1, 1–14 (2010).
    [read online]
  3. A. I. Bobenko, Yu. B. Suris: Discrete Differential Geometry. Consistency as Integrability. Preliminary version to the book of the same name (2005).
    [arXiv]
  4. Bottema, O.: Topics in Elementary Geometry, Springer (2008).
    [library, read online]
  5. O. Bottema, B. Roth: Theoretical Kinematics, Dover Publications (1990).
    [Google Books]
  6. Degen W.: Generalized cyclides for use in CAGD. In: Bowyer A.D. (editor). The Mathematics of Surfaces IV, Oxford University Press (1994).
  7. M. Desbrun, E. Grinspun, P. Schröder, M. Wardetzky: Discrete Differential Geometry: An Applied Introduction. SIGGRAPH Asia 2008 Course Notes.
    [read online (author)]
  8. Farin, G: NURBS for Curve and Surface Design – from Projective Geometry to Practical Use. 2nd edition, AK Peters, Ltd. (1999).
    [author's site]
  9. T. Hoffmann: Discrete Differential Geometry of Curves and Surfaces, Faculty of Mathematics, Kyushu University (2009).
  10. E. Huhnen-Venedey: Curvature line parametrized surfaces and orthogonal coordinate systems. Discretization with Dupin cyclides Master Thesis, Technische Universität Berlin (2007).
  11. M. Kaps: Teilflächen einer Dupinschen Zyklide in Bézierdarstelllung. PhD Thesis, Technische Universität Braunschweig, (1990).
  12. Lexell A. J. Acta Sc. Imp. Petr. 6, 89–100 (1781).
  13. Y. Liu, H. Pottmann, J. Wallner, Y.-L. Yang, W. Wang: Geometric Modeling with Conical and Developable Surfaces. ACM Transactions on Graphics, 25:3, 681–689 (2006).
    [read online]
  14. J.-M. Morvan: Generalized Curvatures, Springer (2008)
    [read online (publisher)]
  15. H. Pottmann, A. Asperl, M. Hofer, A. Kilian: Architectural Geometry, Bentley Institute Press (2007).
    [authors' site, publisher's site]
  16. H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, W. Wang: Geometry of multi-layer freeform structures for architecture. ACM Trans. Graphics, 26:3, #65 (2007)
    [read online (publisher), read online (author)]
  17. H. Pottmann, J. Wallner: Computational Line Geometry, Springer (2001).
    [author's site, publisher's site, library]
  18. H. Pottmann., J. Wallner: The focal geometry of circular and conical meshes Adv. Comput. Math., 29:3, 249–268, (2008).
    [read online]
  19. J. Richter-Gebert, Th. Orendt: Geometriekalküle, Springer 2009.
    [publisher's site, publisher's site]
  20. H. Stachel, W. Fuhs: Circular pipe-connections. Computers & Graphics 12 (1988), 53–57.
  21. W. Wang, J. Wallner, Y. Liu.: An Angle Criterion for Conical Mesh Vertices. J. Geom. Graphics 11:2, 199–208 (2007).
    [publisher's site, author's site]
  22. W. Wunderlich: Zur Differenzengeometrie der Flächen konstanter negativer Krümmung. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. S.-B. II, 160:2 39–77 (1951).
  23. M. Zadravec, A. Schiftner., J. Wallner: Designing quad-dominant meshes with planar faces. Computer Graphics Forum 29/5 (2010), Proc. Symp. Geometry Processing, to appear.
    [author's site]