Literature
Primary reading
- R. Sauer: Differenzengeometrie, Springer (1970)
[library]
- A. I. Bobenko, Yu. B. Suris: Discrete
Differential Geometry. Integrable Structure. American Mathematical
Society (2008).
[library,
publisher's site,
authors' site]
Further reading
- A. I. Bobenko, U. Pinkall: Discrete Isothermic
Surfaces. J. reine angew. Math. 475 187–208 (1996).
[read online]
- 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]
- A. I. Bobenko, Yu. B. Suris: Discrete
Differential Geometry. Consistency as Integrability. Preliminary
version to the book of the same name (2005).
[arXiv]
- Bottema, O.: Topics in Elementary Geometry, Springer (2008).
[library,
read online]
- O. Bottema, B. Roth: Theoretical Kinematics, Dover
Publications (1990).
[Google Books]
- Degen W.: Generalized cyclides for use in CAGD. In: Bowyer
A.D. (editor). The Mathematics of Surfaces IV, Oxford University
Press (1994).
- M. Desbrun, E. Grinspun, P. Schröder, M. Wardetzky: Discrete
Differential Geometry: An Applied Introduction. SIGGRAPH Asia 2008
Course Notes.
[read online (author)]
- Farin, G: NURBS for Curve and Surface Design – from Projective
Geometry to Practical Use. 2nd edition, AK Peters, Ltd. (1999).
[author's site]
- T. Hoffmann: Discrete Differential Geometry of Curves and
Surfaces, Faculty of Mathematics, Kyushu University (2009).
- E. Huhnen-Venedey: Curvature line parametrized surfaces and
orthogonal coordinate systems. Discretization with Dupin cyclides
Master Thesis, Technische Universität Berlin (2007).
- M. Kaps: Teilflächen einer Dupinschen Zyklide in
Bézierdarstelllung. PhD Thesis, Technische Universität Braunschweig,
(1990).
- Lexell A. J. Acta Sc. Imp. Petr. 6, 89–100 (1781).
- 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]
- J.-M. Morvan: Generalized Curvatures, Springer (2008)
[read online (publisher)]
- H. Pottmann, A. Asperl, M. Hofer, A. Kilian:
Architectural Geometry, Bentley Institute Press (2007).
[authors' site,
publisher's site]
- 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)]
- H. Pottmann, J. Wallner: Computational Line Geometry, Springer (2001).
[author's site,
publisher's site,
library]
- H. Pottmann., J. Wallner: The focal geometry of circular and
conical meshes Adv. Comput. Math., 29:3, 249–268, (2008).
[read online]
- J. Richter-Gebert, Th. Orendt: Geometriekalküle, Springer
2009.
[publisher's site,
publisher's site]
- H. Stachel, W. Fuhs: Circular pipe-connections. Computers &
Graphics 12 (1988), 53–57.
- 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]
- W. Wunderlich: Zur Differenzengeometrie der Flächen konstanter
negativer Krümmung. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. S.-B. II,
160:2 39–77 (1951).
- 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]