@headline{art, note = "Journal articles"}

@article{huang-2006-rfo,
	author = "Qi-Xing Huang and Simon Fl{\"o}ry and Natasha Gelfand and
		Michael Hofer and Helmut Pottmann",
	title = "Reassembling Fractured Objects by Geometric Matching",
	journal = {ACM Trans. Graphics},
	volume = 25,
	number = 3,
	year = 2006,
	pages = "569-578",
	note = "Proc. SIGGRAPH 2006.",
	url = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/hfghp_fracture_06/hfghp_fracture_06.html",
}
@article{kao-2007-gm,
 	author =  {Chiu-Yen Kao and Michael Hofer and Guillermo Sapiro
		and Josh Stern and Kelly Rehm and David A.\ Rottenberg},
	title = {A Geometric Method for Automatic Extraction of Sulcal Fundi},
	journal = {IEEE Trans.\ Medical Imaging},
	year = {2007},
	volume = {26},
	number = {4},
	pages = {530-540},
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/khssrr_fundi_07/khssrr_fundi_07.html",
}
@article{kilian-2007-gmss,
	author = "Martin Kilian and Niloy J. Mitra and Helmut Pottmann",
	title = "Geometric Modeling in Shape Space",
	journal = "ACM Trans. Graphics",
	volume = 26,
	number = 3,
	pages = "\#64, 1-8",
	year = 2007,
	note = "{Proc. SIGGRAPH}",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/kilian-2007-gmss/kilian-2007-gmss.html",
}
@article{liu-2006-cm,
	author = {Yang Liu and Helmut Pottmann and Johannes Wallner
		and Yong-Liang Yang and Wenping Wang},
	title = {Geometric modeling with conical meshes and developable
		surfaces},
	journal = {ACM Trans. Graphics},
	volume = 25,
	number = 3,
	year = 2006,
	issn = {0730-0301},
	pages = {681--689},
	note = "Proc. SIGGRAPH",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/lhwyw_conical_06/lhwyw_conical_06.html",
}

@article{lai-2007-fs,
	title = "Robust Feature Classification and Editing",
	author = "Yu-Kun Lai and Qian-Yi Zhou and Shi-Min Hu and
		Johannes Wallner and Helmut Pottmann",
	volume= 13,
	number = 1,
	pages = "34-45",
	year = 2007,
	journal = "IEEE Trans. Vis. Comp. Graphics",
	doi="http://dx.doi.org/10.1109/TVCG.2007.19",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/lzhwp_robust_07/lzhwp_robust_07.html",
}

@article{lai-2006-sffsp,
	author = "Y. Lai and S.-H. Hu and H. Pottmann",
	title = "Surface fitting based on a feature sensitive parametrization",
	journal = "Computer-Aided Design",
	volume  = "38",
	number = "7",
	pages = "800-807", 
	year = "2006",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/lhp_feature_06/lhp_feature_06.html",
}
@article{mitra-2007-symm,
	author = "N. J. Mitra and L. Guibas and M. Pauly",
	title = "Symmetrization",
	journal = "ACM Trans. Graphics",
	volume = 26,
	number = "3",
	pages = "\#63, 1-8",
	year = 2007,
	note = "{Proc.\ SIGGRAPH}",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/mgp_symmetrization_07/symmetrization_sig_07.html",
}

@article{aiger-2008,
	author = "Dror Aiger and Niloy J. Mitra and Daniel Cohen-Or",
	title = "4-Points Congruent Sets for Robust Pairwise Surface Registration",
	journal = "ACM Trans. Graphics",
	volume = "27",
	pages = {\#85}	,
	number = "3",
	note = "Proc.\ SIGGRAPH",
	year = "2008",
}

@article{nawratil-2008-fdsmg,
	author = "Georg Nawratil and Helmut Pottmann",
	title = "Subdivision Schemes for the fair Discretization
		of the Spherical Motion Group",
	journal = {J. Comput. Appl. Math.},
	year = 2008,
	volume = 222,
	number = 2,
	pages = "574-591",
	url="http://dmg.tuwien.ac.at/geom/ig/sn/2008/np_motion_07/np_motion_07.html",
}

@article{odehnal-2006-ekgle,
	author = "B.  Odehnal and H. Pottmann and J. Wallner",
	title = "Equiform kinematics and the geometry of line elements",
	journal = "Beitr. Algebra Geom.",
	year = 2006,
	volume = 47,
	number = 2,
	pages = "567-582",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/opw_kinematics_06/opw_kinematics_06.html",
}
@article{sampoli-2005-epcs,
	author = "M. L. Sampoli and M. Peternell and B. J{\"u}ttler",
	title ="Rational surfaces with linear normals and their
		convolutions with rational surfaces",
	journal = "Comput. Aided Geom. Design",
	volume = 23,
	year = 2006,
	pages = "179-192",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/spj_normals_06/spj_normals_06.html",
}

@article{peternell-2007-msb,
	author = {M. Peternell and T. Steiner},
	title = "{M}inkowski sum boundary surfaces of {3D}-objects",
	journal = {Graphical Models},
	year = {2007},
	volume=69,
	pages = "180-190",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/ps_minkowski_07/ps_minkowski07.html",
}

@article{peternell-2008-cqbt,
	author = {M. Peternell and B. Odehnal},
	title = "{C}onvolution surfaces of quadratic triangular Bezier surfaces",
	journal = {Comput. Aided Geom. Design},
	year = {2008},
	volume={25},
	pages = "116-129",
	url = "http://www.geometrie.tuwien.ac.at/peternell/peternell_odehnal_rev2.pdf",
}


@article{pottmann-2006-ii,
	author = "Helmut Pottmann and Johannes Wallner and
		Yong-Liang Yang and Yu-Kun Lai and Shi-Min Hu",
	title = "Principal curvatures from the integral invariant viewpoint",
	journal = "Comput. Aided Geom. Design",
	year = 2007,
	volume = 24,
	pages = "428-442",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/pwylh_principal_07/pwylh_principal_07.html",
}

@article{pottmann-2007-pm,
	author = "Helmut Pottmann and Yang Liu and Johannes Wallner
		and Alexander Bobenko and Wenping Wang",
	title = "Geometry of Multi-layer Freeform Structures for Architecture",
	journal = {ACM Trans. Graphics},
	year = 2007,
	volume = 26,
	pages = "\#65, 1-11",
	number = 3,
	note = "Proc. SIGGRAPH",
	url = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/plwbw_freeform_07/plwbw_freeform_07.html",
}

@article{pottmann-2008-fg,
	title = "The focal geometry of circular and conical meshes",
	author = "Helmut Pottmann and Johannes Wallner",
	journal = {Adv. Comp. Math},
	year = 2008,
	volume = 29,
	pages = "249-268",
	mrnumber = "2009m:68267",
	zblnumber = "1159.65023",
	doi = "http://dx.doi.org/10.1007/s10444-007-9045-4",
	url = "http://www.geometrie.tugraz.at/wallner/focal.pdf",
}


@article{wallner-2007-min,
	title = "Infinitesimally flexible meshes and discrete
		minimal surfaces",
	author = "Johannes Wallner and Helmut Pottmann",
	journal = {Monatshefte Math.},
	year = 2008,
	volume = 153,
	pages = "347--365",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2008/wp_meshes_07/wp_meshes_07.html",
}
@article{kilian-2008-cf,
	author = "Martin Kilian and Simon Fl{\"o}ry and Zhongui Chen and Niloy J. Mitra and Alla Sheffer and Helmut Pottmann",
	title = "Curved Folding",
	journal = "ACM Trans. Graphics",
	volume = 27,
	number = 3,
	pages = "\#75, 1-9",
	year = 2008,
	note = "{Proc. SIGGRAPH}",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2008/fold08/fold.html",
}
@article{pottmann-2008-sc,
	title = "Freeform surfaces from single curved panels",
	author = {Helmut Pottmann and Alexander Schiftner and Pengbo Bo
		and Heinz Schmiedhofer and Wenping Wang
		and Niccolo Baldassini and Johannes Wallner},
	journal = "ACM Trans. Graphics",
	volume = 27,	 number = 3,
	year = 2008,
	pages = {\#76,1--10},
	note = "Proc.\ SIGGRAPH",
	doi="http://doi.acm.org/10.1145/1360612.1360675",
	url="http://www.geometrie.tugraz.at/wallner/strip.pdf",
}

@article{pauly-2008-structure,
	author = "Mark Pauly and Niloy J. Mitra and Johannes Wallner and Helmut Pottmann and Leonidas J. Guibas",
	title = "Discovering Structural Regularity in 3{D} Geometry",
	journal = "ACM Trans. Graphics",
	volume = 27,
	number = 3,
	pages = "\#43, 1-11",
	year = 2008,
	note = "{Proc. SIGGRAPH}",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2008/discovering08/discovering.html",
}

@article{pottmann-2009-fs,
	title = "Laguerre Minimal Surfaces, Isotropic Geometry and Linear
		Elasticity",
	author = "Helmut Pottmann and Philipp Grohs and Niloy J. Mitra",
	journal = {Adv. Comp. Math.},
	year = 2009,
	volume = 31,
	pages="391-419",
	url="http://dmg.tuwien.ac.at/geom/ig/sn/2008/pgm_laguerre_07/pgm_laguerre.html",
}

@article{schiftner-2009-cp,
	  author = "Alexander Schiftner and Mathias H{\"o}binger
		  and Johannes Wallner and Helmut Pottmann",
	  title = "Packing circles and spheres on surfaces",
	  journal = "ACM Trans. Graphics",
	  year = 2009,
	  volume = 28,
	  number = 5,
	  pages = "\#139,1-8",
	  note = "{P}roc.\ SIGGRAPH Asia",
	  doi = "http://doi.acm.org/10.1145/1618452.1618485",
}

@article{pottmann-2009-iir,
	author = "Helmut Pottmann and Johannes Wallner and Qixing Huang
		and Yong-Liang Yang",
	title = "Integral Invariants for Robust Geometry Processing",
	journal = "Comput. Aided Geom. Design",
	year = 2009,
	volume=26,
	url = "http://www.geometrie.tugraz.at/wallner/iirgp.pdf",
	pages="37-60",
	doi = "http://dx.doi.org/10.1016/j.cagd.2008.01.002",
	mrnumber = "MR2484436",
}

@article{nawratil-2009-gpdckg,
	author = "G. Nawratil and H. Pottmann and and B. Ravani",
	title = "Generalized Penetration Depth Computation based on
		Kinematical Geometry",
	journal = {Computer Aided Geometric Design},
	year = 2009,
	volume = 26,
	number = 4,	 pages = "425-443",
	url = "http://www.geometrie.tuwien.ac.at/nawratil/gpdcbokg.pdf",
	doi = "http://dx.doi.org/doi:10.1016/j.cagd.2009.01.001",
}

@article{bobenko-2010-ct,
	 author = "Alexander Bobenko and Helmut Pottmann and Johannes
		Wallner",
	 title = "A curvature theory for discrete surfaces based
		 on mesh parallelity",
	 journal = "Math. Annalen",
	 year = 2010,
	 note = "to appear",
	 url = "http://www.geometrie.tugraz.at/wallner/pkmesh.pdf",
	 arxiv="0901.4620",
	 doi="http://dx.doi.org/10.1007/s00208-009-0467-9",
}


@article{peternell-2010-r2,
	author = "Martin Peternell",
	title = "Rational Two-Parameter Families of Spheres and Rational
		Offset Surfaces",
	journal = "J. Symbolic Computation",
	year = 2010,
	volume = 45,
	pages = "1-18",
	url="http://dmg.tuwien.ac.at/fg4/sn/2010/rational09/paper_docs/rational.pdf",

} 
@article{pottmann-2010-eolag,
	author = "Helmut Pottmann and Philipp Grohs and Bernhard Blaschitz",
	title = "Edge offset meshes in {L}aguerre geometry",
	journal = "Adv. Comp. Math.",
	year = 2010,
	note = "to appear.",
	url = "http://www.dmg.tuwien.ac.at/grohs/papers/eolag.pdf",
	doi = "http://dx.doi.org/10.1007/s10444-009-9119-6",
}


@headline{proc, note = "Refereed articles in books and conference proceedings"}

@inproceedings{hofer-2005-3dsr,
	title = "{3D} shape recognition and reconstruction based on
		line element geometry",
	author = "M. Hofer and B Odehnal and H. Pottmann and T. Steiner
		and J. Wallner",
	booktitle = "Tenth IEEE International
		Conference on Computer Vision",
	year = 2005,
	volume = 2,
	pages = "1532--1538",
	publisher="IEEE Computer Society",
	isbn="0-7695-2334-X",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2005/hopsw_line_05/hopsw_line_05.html",
}

@inproceedings{yang-2006-rpc,
	author = "Yong-Liang Yang and Yu-Kun Lai and Shi-Min Hu and
			Helmut Pottmann",
	title = "Robust Principal Curvatures on Multiple Scales",
	booktitle = {{SGP} 2006: 4th Eurographics Symposium on
			Geometry processing},
	publisher = {Eurographics Association},
	editor = "Konrad Polthier and Alla Sheffer",
	year = 2006,
	pages = "223-226",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2006/ylhp_multiple_06/ylhp_multiple_06.html",

}

@incollection{aichholzer-2007-balls,
	author = "O. Aichholzer and F. Aurenhammer and T. Hackl and
		B. Kornberger and M. Peternell and H. Pottmann",
	title = "Approximating Boundary-Triangulated Objects with Balls",
	year = "2007",
	booktitle = "Proc. 23rd European Workshop on Computational Geometry",
	pages = "130-133",
	publisher = "TU Graz",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/aahkpp_balls_07/aahkpp_balls_07.html",
}

@incollection{aurenhammer-2007-isvd,
	author = "F. Aurenhammer and J. Wallner and
		 M. Peternell and H. Pottmann",
	title = "Voronoi Diagrams for Oriented Spheres",
	booktitle = "Proc. ISVD'07: 4th Int. Conf. Voronoi Diagrams in
		Science and Engineering",
	year = "2007",
	publisher = "IEEE Computer Society",
	editor = "Chris Gold",
	isbn = {0-7695-2869-4},
	pages="33-37",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/awpp_voronoi_07/awpp_voronoi_07.html",
}

@inproceedings{hofer-2007-cocn,
	author = "Michael Hofer",
	title = "Constrained Optimization with Curves
		and Curve Networks --- A survey",
	booktitle = "Proceedings 23rd Spring Conference on Computer Graphics",
	year = 2007,
	editor = "M. Sbert",
	publisher = "Comenius University, Bratislava",
	pages = "31-39",
	url = "http://www.geometrie.tuwien.ac.at/ig/papers/sccg07.pdf",
}


@incollection{mitra-2007-dgr,
	author = "N. J. Mitra and S. Fl{\"o}ry and M. Ovsjanikov
		and N. Gelfand and L. Guibas and H. Pottmann",
	title = "Dynamic Geometry Registration",
	booktitle = "Symposium on Geometry Processing",
	year =  2007,
	pages = "173-182",
	editor = "A. Belyaev and M. Garland",
	publisher = "Eurographics",
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/mitra-2007-dgr/mitra-2007-dgr.html",
}

@incollection{pottmann-2007-dsad,
	author = "Helmut Pottmann and Brell-Cokcan, Sigrid
		and Johannes Wallner",
	editor = "Patrick Chenin and Tom Lyche and Larry L. Schumaker",
	title = "Discrete Surfaces for Architectural Design",
	booktitle = "Curves and Surface Design: Avignon 2006",
	publisher = "Nashboro Press",
	pages = "213-234",
	isbn = "978-0-9728482-7-5",
	year = 2007,
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/pbw_surfaces_07/pbw_surfaces_07.html",
}



@incollection{pottmannliu:2007,
	author = {Helmut Pottmann and Yang Liu},
	title = {Discrete surfaces in isotropic geometry},
	booktitle = {The Mathematics of Surfaces XII},
	year = {2007},
	editor = {R. Martin and M. Sabin and J. Winkler},
	pages={341--363},
	series = {Lecture Notes in Computer Science},
	number = {4647},
	publisher = {Springer},
	url="http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2007/pl_isogeom_07/pl_isogeom_07.html",
}

@inproceedings{peternell-08-ln,
	author = "Martin Peternell and Boris Odehnal",
	title = "On Generalized {LN}-Surfaces in 4-Space ",
	booktitle = {{ISSAC} 2008: Intl.~Symposium on Symbolic Computation}, 
	publisher = {ACM},
	editor = "David Jeffrey",
	url = "http://www.geometrie.tuwien.at/peternell/issac08_peternell.pdf",
	year = 2008,
	pages = "223-230",
}

@incollection{krasauskas-2009-ro,
	author = "Rimvydas Krasauskas and Martin Peternell",
	title = "Rational offset surfaces and their modeling applications",
	booktitle = "Nonlinear Computational Geometry (IMA Volume 151)",
	editor = "I.Z. Emiris and F. Sottile and Th. Theobald",
	year = 2009,
	pages = "109-136",
	url = "http://dmg.tuwien.ac.at/fg4/sn/2009/offset09/paper_docs/edge.pdf",
}

@headline{tr, note = "Technical Reports"}

@techreport{fidler-2007-ip,
	author = "T. Fidler and M. Grasmair and H. Pottmann and O.
		Scherzer",
	title = "Inverse Problems of Integral Invariants and Signatures",
	year = 2007,
	institution = "Johann Radon Inst. Comp. Appl. Math",
	url = "http://www.ricam.oeaw.ac.at/publications/reports/07/rep07-01.pdf",
	number = "2007-01",
}

@techreport{kilian-tr178,
	author = "M. Kilian",
	title = "Shapes, Metrics, and their Geodesics",
	institution = "Vienna University of Technology",
	year = "2007",
	month = "January",
	type = "Geometry Preprint",
	number = "178",
}


@techreport{thorstensen-tr170,
	author = "N. Thorstensen and M. Hofer and G. Sapiro and H. Pottmann",
	title = "Measuring Cortical Thickness from Volumetric {MRI} Data",
	institution = "Vienna University of Technology",
	year = "2006",
	month = "December",
	type = "Geometry Preprint",
	number = "170",
	url = "http://dmg.tuwien.ac.at/fg4/papers/tr170.pdf",
}


@headline{misc, note = "Miscellaneous Publications"}


@article{pottmann-2008-af,
	author = "Helmut Pottmann and Alexander Schiftner and
		Johannes Wallner",
	title = "Geometry of architectural freeform structures",
	journal = "Int. Math. Nachr.",
	volume = 209,
	pages = "15-28",
	year = 2008,
	url="http://www.geometrie.tugraz.at/wallner/arch-imn.pdf",
}
@article{wallner-2009-gs,
	author = "Johannes Wallner and Helmut Pottmann",
	title = "Geometrische {S}truktur und {F}reiformarchitektur",
	journal = "IBDG",
	year = 2009,
	volume = 27,
	number = 1,
	pages = "34-38",
	url="http://www.geometrie.tugraz.at/wallner/ibdg.pdf",
}