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Thesis.bib
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Thesis.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Stefan Sechelmann at 2016-05-23 17:26:22 +0200
%% Saved with string encoding Unicode (UTF-8)
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@comment{jabref-meta: selector_publisher:}
@comment{jabref-meta: selector_author:}
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@article{Luo2004:Yamabe,
Author = {Luo, F.},
Date-Added = {2015-12-28 21:58:21 +0000},
Date-Modified = {2015-12-28 21:58:21 +0000},
Doi = {10.1142/S0219199704001501},
Fjournal = {Communications in Contemporary Mathematics},
Issn = {0219-1997},
Journal = {Commun. Contemp. Math.},
Mrclass = {53C44 (53C21)},
Mrreviewer = {Igor Rivin},
Number = 5,
Optmrnumber = {2100762 (2005m:53122)},
Pages = {765--780},
Title = {Combinatorial {Y}amabe flow on surfaces},
Url = {http://dx.doi.org/10.1142/S0219199704001501},
Volume = 6,
Year = 2004,
Bdsk-Url-1 = {http://dx.doi.org/10.1142/S0219199704001501}}
@incollection{KSS15,
Author = {H. Kou\v{r}imsk\'{a} and L. Skuppin and B. Springborn},
Booktitle = {Advances in Discrete Differential Geometry},
Date-Added = {2015-12-28 21:55:14 +0000},
Date-Modified = {2015-12-28 21:55:14 +0000},
Editor = {Bobenko, A. I.},
Publisher = {Springer},
Title = {A variational principle for cyclic polygons with prescribed edge lengths},
Year = 2016}
@misc{sfb-webpage,
Author = {{{SFB} {T}ransregio 109 - {D}iscretization in {G}eometry and {D}ynamics}},
Date-Added = {2015-12-28 20:59:39 +0000},
Date-Modified = {2015-12-28 21:46:54 +0000},
Note = {\url{https://www.discretization.de}},
Title = {Webpage},
Year = {2015}}
@misc{rhino-website,
Author = {{R}obert {M}c{N}eel \& {A}ssociates},
Date-Added = {2015-12-27 23:20:33 +0000},
Date-Modified = {2015-12-27 23:22:33 +0000},
Note = {\url{https://www.rhino3d.com}},
Title = {{R}hino {3D}},
Year = {2015}}
@incollection{BobSechSpr,
Author = {Alexander I. Bobenko and Stefan Sechelmann and Boris Springborn},
Booktitle = {Advances in Discrete Differential Geometry},
Date-Added = {2015-11-30 14:20:21 +0000},
Date-Modified = {2015-11-30 14:20:21 +0000},
Editor = {Alexander I. Bobenko},
Publisher = {Springer},
Title = {Discrete conformal maps: {B}oundary value problems, circle domains, {F}uchsian and {S}chottky uniformization},
Year = {2016}}
@article{abresch1987,
Author = {Abresch, U.},
Coden = {JRMAA8},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1515/crll.1987.374.169},
Fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
Issn = {0075-4102},
Journal = {J. Reine Angew. Math.},
Mrclass = {53A10 (53C42)},
Mrreviewer = {Michael Gr{\"u}ter},
Pages = {169--192},
Title = {Constant mean curvature tori in terms of elliptic functions},
Url = {http://dx.doi.org/10.1515/crll.1987.374.169},
Volume = 374,
Xxxmrnumber = {876223 (88e:53006)},
Year = 1987,
Bdsk-Url-1 = {http://dx.doi.org/10.1515/crll.1987.374.169}}
@article{Adler-Bobenko-Suris2003,
Author = {Adler, V. E. and Bobenko, A. I. and Suris, Yu. B.},
Coden = {CMPHAY},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1007/s00220-002-0762-8},
Fjournal = {Communications in Mathematical Physics},
Issn = {0010-3616},
Journal = {Comm. Math. Phys.},
Mrclass = {37K10 (37K35 81R12)},
Mrreviewer = {Wolfgang K. Schief},
Number = 3,
Optmrnumber = {1962121 (2004b:37137)},
Pages = {513--543},
Title = {Classification of integrable equations on quad-graphs. {T}he consistency approach},
Url = {http://dx.doi.org/10.1007/s00220-002-0762-8},
Volume = 233,
Year = 2003,
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00220-002-0762-8}}
@article{Bobenko-Suris2002,
Author = {Bobenko, A. I. and Suris, Yuri B.},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1155/S1073792802110075},
Fjournal = {International Mathematics Research Notices},
Issn = {1073-7928},
Journal = {Int. Math. Res. Not.},
Mrclass = {37K60 (37K10 37K25 37K35 37K40)},
Mrnumber = {1890049 (2003d:37127)},
Mrreviewer = {Wolfgang K. Schief},
Number = 11,
Pages = {573--611},
Title = {Integrable systems on quad-graphs},
Url = {http://dx.doi.org/10.1155/S1073792802110075},
Volume = {{}},
Year = 2002,
Bdsk-Url-1 = {http://dx.doi.org/10.1155/S1073792802110075}}
@article{bobenko1991,
Author = {Bobenko, A. I.},
Coden = {MAANA},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1007/BF01459243},
Fjournal = {Mathematische Annalen},
Issn = {0025-5831},
Journal = {Math. Ann.},
Mrclass = {53C42 (14K25)},
Mrreviewer = {Ivan Sterling},
Number = 2,
Pages = {209--245},
Title = {All constant mean curvature tori in {${\bf R}^3,\;S^3,\;H^3$} in terms of theta-functions},
Url = {http://dx.doi.org/10.1007/BF01459243},
Volume = 290,
Xxxmrnumber = {1109632 (92h:53072)},
Year = 1991,
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01459243}}
@article{leibon_2002,
Author = {G. Leibon},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.2140/gt.2002.6.361},
Issn = {1364-0380},
Journal = {Geom. Topol.},
Pages = {361--391},
Title = {Characterizing the {{D}elaunay} decompositions of compact hyperbolic surfaces},
Url = {http://www.msp.warwick.ac.uk/gt/2002/06/p012.xhtml},
Volume = 6,
Year = 2002,
Bdsk-Url-1 = {http://www.msp.warwick.ac.uk/gt/2002/06/p012.xhtml},
Bdsk-Url-2 = {http://dx.doi.org/10.2140/gt.2002.6.361}}
@article{milnor_hyperbolic_1982,
Author = {J. Milnor},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1090/S0273-0979-1982-14958-8},
Issn = {0273-0979},
Journal = {Bull. Amer. Math. Soc. {(N.S.)}},
Number = {1},
Pages = {9{\textendash}24},
Shorttitle = {Hyperbolic geometry},
Title = {Hyperbolic geometry: the first 150 years},
Url = {http://dx.doi.org/10.1090/S0273-0979-1982-14958-8},
Volume = {6},
Year = {1982},
Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0273-0979-1982-14958-8}}
@book{nehari1952conformal,
Author = {Nehari, Z.},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Mrclass = {30.0X},
Pages = {viii+396},
Publisher = {McGraw-Hill Book Co., Inc., New York, Toronto, London},
Title = {Conformal mapping},
Xxxmrnumber = {0045823 (13,640h)},
Xxxmrreviewer = {Y. Komatu},
Year = 1952}
@article{NijhoffCapel1995,
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Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-12-28 21:59:37 +0000},
Doi = {10.1007/BF00994631},
Fjournal = {Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications},
Issn = {0167-8019},
Journal = {Acta Appl. Math.},
Mrclass = {39A12 (58F07)},
Mrreviewer = {Themistocles M. Rassias},
Number = {1-3},
Optmrnumber = {1329559 (96i:39022)},
Pages = {133--158},
Title = {The discrete {K}orteweg-de {V}ries equation},
Url = {http://dx.doi.org/10.1007/BF00994631},
Volume = 39,
Year = 1995,
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00994631}}
@article{walter1989,
Author = {Walter, R.},
Coden = {MSMHB2},
Date-Added = {2015-11-27 09:07:51 +0000},
Date-Modified = {2015-11-27 09:07:51 +0000},
Doi = {10.1007/BF01168376},
Fjournal = {Manuscripta Mathematica},
Issn = {0025-2611},
Journal = {Manuscripta Math.},
Mrclass = {53A10 (53A35)},
Mrreviewer = {M. Elisa G. G. de Oliveira},
Number = 3,
Pages = {343--363},
Title = {Constant mean curvature tori with spherical curvature lines in non-{E}uclidean geometry},
Url = {http://dx.doi.org/10.1007/BF01168376},
Volume = 63,
Xxxmrnumber = {986189 (90a:53016)},
Year = 1989,
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01168376}}
@misc{Luo-Uniformization,
Author = {Gu, X. and Luo, F. and Sun, J. and Wu, T.},
Date-Added = {2015-11-27 09:06:16 +0000},
Date-Modified = {2015-11-27 09:06:16 +0000},
Howpublished = {\href{http://arxiv.org/abs/1309.4175}{\nolinkurl{arXiv:1309.4175}}},
Title = {A discrete uniformization theorem for polyhedral surfaces},
Year = 2013}
@misc{Luo-Uniformization_II,
Author = {Gu, X. and Luo, F. and Sun, J. and Wu, T.},
Date-Added = {2015-11-27 09:06:16 +0000},
Date-Modified = {2015-11-27 09:06:16 +0000},
Howpublished = {\href{http://arxiv.org/abs/1401.4594}{\nolinkurl{arXiv:1401.4594}}},
Title = {A discrete uniformization theorem for polyhedral surfaces {II}},
Year = 2014}
@article{BPS2015:dconf,
Author = {A. I. Bobenko and U. Pinkall and B. Springborn},
Date-Added = {2015-11-27 09:03:24 +0000},
Date-Modified = {2015-11-27 09:03:24 +0000},
Journal = {Geometry \& Topology},
Number = {4},
Owner = {sechel},
Pages = {2155--2215},
Title = {Discrete conformal maps and ideal hyperbolic polyhedra},
Volume = {19},
Year = {2015}}
@article{schmutz1999,
Author = {Paul {Schmutz Schaller}},
Date-Added = {2015-08-27 11:57:35 +0000},
Date-Modified = {2015-08-27 12:02:27 +0000},
Journal = {{L}'{E}nseignement {M}ath\'ematique},
Pages = {169--187},
Title = {Teichm\"{u}ller Space and Fundamental Domains of Fuchsian Groups},
Volume = {45},
Year = {1999}}
@article{schmutz1998,
Author = {Paul {Schmutz Schaller}},
Date-Added = {2015-08-13 13:34:05 +0000},
Date-Modified = {2015-08-13 13:35:19 +0000},
Journal = {Bull. Amer. Math. Soc.},
Pages = {193--214},
Title = {Geometry of Riemann surfaces based on closed geodesics},
Volume = {35},
Year = {1998}}
@article{schmutz2000,
Author = {Paul {Schmutz Schaller}},
Date-Added = {2015-08-13 13:05:13 +0000},
Date-Modified = {2015-08-13 13:35:34 +0000},
Journal = {Annales Academi\ae Scientiarum Fennic\ae},
Pages = {85--90},
Title = {Geometric characterization of hyperelliptic {R}iemann surfaces},
Volume = {25},
Year = {2000}}
@article{wente1986,
Author = {Henry C. Wente},
Date-Added = {2015-08-04 11:15:40 +0000},
Date-Modified = {2015-08-05 21:37:25 +0000},
Fjournal = {Pacific Journal of Mathematics},
Journal = {Pacific J. Math.},
Number = {1},
Pages = {193--243},
Publisher = {Pacific Journal of Mathematics, A Non-profit Corporation},
Title = {Counterexample to a conjecture of {H}. {H}opf.},
Url = {http://projecteuclid.org/euclid.pjm/1102702809},
Volume = {121},
Year = {1986},
Bdsk-Url-1 = {http://projecteuclid.org/euclid.pjm/1102702809}}
@phdthesis{Heil95,
Author = {Matthias Heil},
Date-Added = {2015-08-04 11:05:27 +0000},
Date-Modified = {2015-08-04 11:06:05 +0000},
School = {TU-Berlin},
Title = {Numerical tools for the study of finite gap solutions of integrable systems},
Year = {1995}}
@article{BS90,
Author = {Alan Beardon and Kenneth Stephenson},
Date-Added = {2015-07-31 12:45:07 +0000},
Date-Modified = {2015-07-31 12:48:59 +0000},
Journal = {Indiana University Mathematics Journal},
Number = {4},
Pages = {1383--1425},
Title = {The Uniformization Theorem for Circle Packings},
Volume = {39},
Year = {1990}}
@article{S97,
Author = {O. Schramm},
Date-Added = {2015-07-23 16:00:13 +0000},
Date-Modified = {2015-07-23 16:00:13 +0000},
Journal = {Duke Math. J.},
Pages = {347-389},
Title = {Circle patterns with the combinatorics of the square grid},
Volume = {86},
Year = {1997}}
@incollection{polthier97,
Author = {Oberknapp, Bernd and Polthier, Konrad},
Booktitle = {Visualization and Mathematics},
Date-Added = {2015-07-20 16:00:40 +0000},
Date-Modified = {2015-07-20 16:00:40 +0000},
Doi = {10.1007/978-3-642-59195-2_10},
Editor = {Hege, Hans-Christian and Polthier, Konrad},
Isbn = {978-3-642-63891-6},
Language = {English},
Pages = {141-161},
Publisher = {Springer Berlin Heidelberg},
Title = {An Algorithm for Discrete Constant Mean Curvature Surfaces},
Url = {http://dx.doi.org/10.1007/978-3-642-59195-2_10},
Year = {1997},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-642-59195-2_10}}
@article{keen1966,
Author = {Keen, Linda},
Date-Added = {2015-07-20 16:00:40 +0000},
Date-Modified = {2015-07-20 16:00:40 +0000},
Doi = {10.1007/BF02392200},
Issn = {0001-5962},
Journal = {Acta Mathematica},
Language = {English},
Number = {1},
Pages = {1-16},
Publisher = {Kluwer Academic Publishers},
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Date-Added = {2015-07-20 16:00:40 +0000},
Date-Modified = {2015-07-20 16:00:40 +0000},
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Jstor_Articletype = {research-article},
Jstor_Formatteddate = {Nov., 1970},
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Date-Added = {2015-07-20 16:00:40 +0000},
Date-Modified = {2015-07-20 16:00:40 +0000},
Description = {dblp},
Ee = {http://doi.acm.org/10.1145/513400.513430},
Interhash = {340798ee260f289848572974875e445c},
Intrahash = {9fceb614686c2ce9d16fc85aa1dd2e73},
Keywords = {dblp},
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Author = {{J}{\sc tem} {D}evelopment {T}eam},
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Pages = {157--164},
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Date-Modified = {2012-04-25 21:12:26 +0000},
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Title = {Case-studies of arched structures using actively-bent elements},
Year = {2012}}
@techreport{petsc-user-ref,
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Institution = {Argonne National Laboratory},
Number = {ANL-95/11 - Revision 3.5},
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Year = {2014},
Bdsk-Url-1 = {http://www.mcs.anl.gov/petsc}}
@misc{petsc-web-page,
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Howpublished = {\url{http://www.mcs.anl.gov/petsc}},
Title = {{PETS}c {W}eb page},
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Year = {2014},
Bdsk-Url-1 = {http://www.mcs.anl.gov/petsc}}
@misc{tao-user-ref,
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Year = {2011}}
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Timestamp = {2013.01.28},
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Pages = {xxiv+404},
Publisher = {American Mathematical Society},
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Timestamp = {2013.01.28},
Title = {Discrete differential geometry -- {I}ntegrable structure},
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Date-Added = {2012-04-25 21:09:19 +0000},
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Year = {2011}}
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@misc{CaltechVisMath,
Author = {{Caltch Discretization Center}},
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@incollection{Floater2005,
Address = {Berlin, Heidelberg},
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Editor = {N. A. Dodgson and M. S. Floater and M. A. Sabin},
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Pages = {157-186},
Publisher = {Springer},
Series = {Mathematics and Visualization},
Timestamp = {2013.01.28},
Title = {Surface Parameterization: a Tutorial and Survey},
Year = {2005}}
@misc{VisMathHomepage,
Author = {{Geometry Group@TU-Berlin}},
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Timestamp = {2013.04.09},
Title = {Mathematical Visualization Undergraduate Course},
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@misc{mtj-website,
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@misc{libigl,
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Year = {2007}}
@incollection{Kettner2000,
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Date-Modified = {2016-05-23 15:22:52 +0000},
Doi = {10.1007/978-3-642-23435-4_15},
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Volume = {25},
Year = {2006}}
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@misc{panelingtools,
Author = {McNeel},
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Bdsk-Url-1 = {http://doi.acm.org/10.1145/377939.377946},
Bdsk-Url-2 = {http://dx.doi.org/10.1145/377939.377946}}
@book{Napier2011,
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Year = {2011},
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Author = {Nieser, Matthias and Palacios, Jonathan and Polthier, Konrad and Zhang, Eugene},
Biburl = {http://www.bibsonomy.org/bibtex/2a634ead2088bda8b43d4d60778a54a38/dblp},
Ee = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.118},
Interhash = {ac6d4784958eeb1cf1fd5c9c9e1cbc85},
Intrahash = {a634ead2088bda8b43d4d60778a54a38},
Journal = {IEEE Trans. Vis. Comput. Graph.},
Keywords = {dblp},
Number = {6},
Owner = {sechel},
Pages = {865-878},
Timestamp = {2012-04-21T00:00:00.000+0200},
Title = {Hexagonal Global Parameterization of Arbitrary Surfaces.},
Url = {http://dblp.uni-trier.de/db/journals/tvcg/tvcg18.html#NieserPPZ12},
Volume = {18},
Year = {2012},
Bdsk-Url-1 = {http://dblp.uni-trier.de/db/journals/tvcg/tvcg18.html#NieserPPZ12}}
@book{IL1974,
Author = {Frei Otto and Eda Schauer and J\"{u}rgen Hennicke and Takeshi Hasegawa},
Date-Added = {2012-04-25 21:06:23 +0000},
Date-Modified = {2015-08-05 21:19:48 +0000},
Owner = {sechel},
Publisher = {Seibu Construction Company / Institut f{\"u}r Leich\-te Fl\"{a}\-chen\-trag\-wer\-ke / Kr\"{a}mer},
Timestamp = {2015.01.14},
Title = {{G}itterschalen: {B}ericht \"{u}ber das japanisch-deutsche {F}orschungsprojekt {STI}, durchgef\"{u}hrt von {M}ai 1971 bis {M}ai 1973 am {I}nstitut f{\"u}r {L}eich\-te {F}l\"{a}\-chen\-trag\-wer\-ke.},
Year = {1974}}
@misc{javaview,
Author = {Konrad Polthier and others},
Owner = {sechel},
Timestamp = {2015.03.09},
Title = {{\sc JavaView} web page},
Url = {http://www.javaview.de},
Year = {1996--2012},
Bdsk-Url-1 = {http://www.javaview.de}}
@article{PottmannLWB2007,
Acmid = {1276458},
Address = {New York, NY, USA},
Articleno = {65},
Author = {Pottmann, Helmut and Liu, Yang and Wallner, Johannes and Bobenko, Alexander and Wang, Wenping},
Doi = {10.1145/1276377.1276458},
Issn = {0730-0301},
Issue_Date = {July 2007},
Journal = {ACM Trans. Graph.},
Keywords = {Koebe polyhedron, curvatures, discrete differential geometry, edge offset, hexagonal mesh, multi-layer construction, offset mesh, parallel mesh, support structure, surfaces in architecture},
Month = jul,
Number = {3},
Publisher = {ACM},
Title = {Geometry of multi-layer freeform structures for architecture},
Url = {http://doi.acm.org/10.1145/1276377.1276458},
Volume = {26},
Year = {2007},
Bdsk-Url-1 = {http://doi.acm.org/10.1145/1276377.1276458},
Bdsk-Url-2 = {http://dx.doi.org/10.1145/1276377.1276458}}
@article{PottmannSBSWBW2008,
Author = {Helmut Pottmann and Alexander Schiftner and Pengbo Bo and Heinz Schmiedhofer and Wenping Wang and Niccolo Baldassini and Johannes Wallner},
Bibsource = {DBLP, http://dblp.uni-trier.de},
Ee = {http://doi.acm.org/10.1145/1360612.1360675},
Journal = {ACM Trans. Graph.},
Number = {3},
Owner = {sechel},
Pages = {\#{}76, 1--10},
Timestamp = {2013.01.28},
Title = {Freeform surfaces from single curved panels},
Volume = {27},
Year = {2008}}
@inproceedings{Roerig2014,
Author = {Thilo R{\"o}rig and Stefan Sechelmann and Agata Kycia and Moritz Fleischmann},
Booktitle = {Advances in Architectural Geometry 2014},
Date-Modified = {2016-05-23 15:24:37 +0000},
Doi = {10.1007/978-3-319-11418-7_13},