@MastersThesis{Hormann:1997:GAM,
  author =      {Kai Hormann},
  title =       {Glatte {A}pproximation mit hierarchischen {S}plinefl{\"a}chen},
  school =      {Department of Mathematics, University of Erlangen},
  month =       may,
  year =        1997
}

@InCollection{Greiner:1997:IAA,
  author =      {G{\"u}nther Greiner and Kai Hormann},
  title =       {Interpolating and Approximating Scattered 3{D}-Data with Hierarchical Tensor Product {B}-Splines},
  booktitle =   {Surface Fitting and Multiresolution Methods},
  editor =      {A. Le M{\'e}haut{\'e} and C. Rabut and L. L. Schumaker},
  series =      {Innovations in Applied Mathematics},
  year =        1997,
  pages =       {163-172},
  publisher =   {Vanderbilt University Press},
  address =     {Nashville, TN}
}

@Article{Greiner:1998:ECO,
  author =      {G{\"u}nther Greiner and Kai Hormann},
  title =       {Efficient Clipping of Arbitrary Polygons},
  journal =     {ACM Transactions on Graphics},
  volume =      17,
  number =      2,
  month =       apr,
  year =        1998,
  pages =       {71-83}
}

@InProceedings{Hormann:1999:HPO,
  author =      {Kai Hormann and G{\"u}nther Greiner and Swen Campagna},
  title =       {Hierarchical Parametrization of Triangulated Surfaces},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 1999},
  editor =      {B. Girod and H. Niemann and H.-P. Seidel},
  month =       nov,
  year =        1999,
  pages =       {219-226},
  address =     {Erlangen, Germany},
  publisher =   {Infix}
}

@InCollection{Hormann:2000:MAE,
  author =      {Kai Hormann and G{\"u}nther Greiner},
  title =       {{MIPS}: An Efficient Global Parametrization Method},
  booktitle =   {Curve and Surface Design: Saint-Malo 1999},
  editor =      {P.-J. Laurent and P. Sablonni{\`e}re and L. L. Schumaker},
  series =      {Innovations in Applied Mathematics},
  year =        2000,
  pages =       {153-162},
  publisher =   {Vanderbilt University Press},
  address =     {Nashville, TN}
}

@InCollection{Hormann:2000:FFF,
  author =      {Kai Hormann},
  title =       {Fitting Free Form Surfaces},
  booktitle =   {Principles of 3{D} Image Analysis and Synthesis},
  editor =      {B. Girod and G. Greiner and H. Niemann},
  series =      {The International Series in Engineering and Computer Science},
  volume =      556,
  chapter =     {4.7},
  year =        2000,
  pages =       {192-202},
  publisher =   {Kluwer Academic Publishers},
  address =     {Boston, MA}
}

@InProceedings{Labsik:2000:UMI,
  author =      {Ulf Labsik and Kai Hormann and G{\"u}nther Greiner},
  title =       {Using Most Isometric Parametrizations for Remeshing Polygonal Surfaces},
  booktitle =   {Proceedings of Geometric Modeling and Processing 2000},
  editor =      {R. Martin and W. Wang},
  month =       apr,
  year =        2000,
  pages =       {220-228},
  address =     {Hong Kong, China},
  publisher =   {IEEE Computer Society Press}
}

@InProceedings{Hormann:2000:QR,
  author =      {Kai Hormann and G{\"u}nther Greiner},
  title =       {Quadrilateral Remeshing},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 2000},
  editor =      {B. Girod and G. Greiner and H. Niemann and H.-P. Seidel},
  month =       nov,
  year =        2000,
  pages =       {153-162},
  address =     {Saarbr{\"u}cken, Germany},
  publisher =   {Aka}
}

@InCollection{Dyn:2001:OTU,
  author =      {Nira Dyn and Kai Hormann and Sun-Jeong Kim and David Levin},
  title =       {Optimizing 3{D} Triangulations Using Discrete Curvature Analysis},
  booktitle =   {Mathematical Methods for Curves and Surfaces: Oslo 2000},
  editor =      {T. Lyche and L. L. Schumaker},
  series =      {Innovations in Applied Mathematics},
  year =        2001,
  pages =       {135-146},
  publisher =   {Vanderbilt University Press},
  address =     {Nashville, TN}
}

@Article{Hormann:2001:RTS,
  author =      {Kai Hormann and Ulf Labsik and G{\"u}nther Greiner},
  title =       {Remeshing Triangulated Surfaces with Optimal Parameterizations},
  journal =     {Computer-Aided Design},
  volume =      33,
  number =      11,
  month =       sep,
  year =        2001,
  pages =       {779-788},
  note =        {Best Papers of GMP 2000}
}

@Article{Hormann:2001:TPI,
  author =      {Kai Hormann and Alexander Agathos},
  title =       {The Point in Polygon Problem for Arbitrary Polygons},
  journal =     {Computational Geometry. Theory and Applications},
  volume =      20,
  number =      3,
  month =       nov,
  year =        2001,
  pages =       {131-144}
}

@InProceedings{Scheuering:2001:IRO,
  author =      {Michael Scheuering and Christof Rezk-Salama and Christian Eckstein and Kai Hormann and G{\"u}nther Greiner},
  title =       {Interactive Repositioning of Bone Fracture Segments},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 2001},
  editor =      {T. Ertl and B. Girod and G. Greiner and H. Niemann and H.-P. Seidel},
  month =       nov,
  year =        2001,
  pages =       {499-505},
  address =     {Stuttgart, Germany},
  publisher =   {Aka}
}

@InProceedings{Seeger:2001:ASA,
  author =      {Stefan Seeger and Kai Hormann and Gerd H{\"a}usler and G{\"u}nther Greiner},
  title =       {A Sub-Atomic Subdivision Approach},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 2001},
  editor =      {T. Ertl and B. Girod and G. Greiner and H. Niemann and H.-P. Seidel},
  month =       nov,
  year =        2001,
  pages =       {77-85},
  address =     {Stuttgart, Germany},
  publisher =   {Aka}
}

@PhdThesis{Hormann:2001:TAA,
  author =      {Kai Hormann},
  title =       {Theory and Applications of Parameterizing Triangulations},
  school =      {Department of Computer Science, University of Erlangen},
  month =       nov,
  year =        2001
}

@InCollection{Floater:2002:POM,
  author =      {Michael S. Floater and Kai Hormann and Martin Reimers},
  title =       {Parameterization of Manifold Triangulations},
  booktitle =   {Approximation Theory X: Abstract and Classical Analysis},
  editor =      {C. K. Chui and L. L. Schumaker and J. St{\"o}ckler},
  series =      {Innovations in Applied Mathematics},
  year =        2002,
  pages =       {197-209},
  publisher =   {Vanderbilt University Press},
  address =     {Nashville, TN}
}

@InCollection{Floater:2002:POT,
  author =      {Michael S. Floater and Kai Hormann},
  title =       {Parameterization of Triangulations and Unorganized Points},
  booktitle =   {Tutorials on Multiresolution in Geometric Modelling},
  editor =      {A. Iske and E. Quak and M. S. Floater},
  series =      {Mathematics and Visualization},
  year =        2002,
  pages =       {287-316},
  publisher =   {Springer},
  address =     {Berlin, Heidelberg},
  type =        {Summer School Lecture Notes}
}

@TechReport{Hormann:2002:AEW,
  author =      {Kai Hormann},
  title =       {An Easy Way of Detecting Subdivision Connectivity in a Triangle Mesh},
  institution = {Department of Computer Science 9, University of Erlangen},
  number =      3,
  month =       may,
  year =        2002,
}

@InProceedings{Hormann:2002:HEO,
  author =      {Kai Hormann and Ulf Labsik and Martin Meister and G{\"u}nther Greiner},
  title =       {Hierarchical Extraction of Iso-Surfaces with Semi-Regular Meshes},
  booktitle =   {Proceedings of the Seventh ACM Symposium on Solid Modeling and Applications},
  editor =      {K. Lee and N. M. Patrikalakis},
  month =       jun,
  year =        2002,
  pages =       {53-58},
  address =     {Saarbr{\"u}cken, Germany},
  publisher =   {ACM Press}
}

@Article{Labsik:2002:HIS,
  author =      {Ulf Labsik and Kai Hormann and Martin Meister and G{\"u}nther Greiner},
  title =       {Hierarchical Iso-Surface Extraction},
  journal =     {Journal of Computing and Information Science in Engineering},
  volume =      2,
  number =      4,
  month =       dec,
  year =        2002,
  pages =       {323-329},
  note =        {Selected Papers of SMA 2002}
}

@InCollection{Hormann:2003:TPC,
  author =      {Kai Hormann and Martin Reimers},
  title =       {Triangulating Point Clouds with Spherical Topology},
  booktitle =   {Curve and Surface Design: Saint-Malo 2002},
  editor =      {T. Lyche and M.-L. Mazure and L. L. Schumaker},
  series =      {Modern Methods in Mathematics},
  year =        2003,
  pages =       {215-224},
  publisher =   {Nashboro Press},
  address =     {Brentwood, TN}
}

@InProceedings{Hormann:2003:FSS,
  author =      {Kai Hormann},
  title =       {From Scattered Samples to Smooth Surfaces},
  booktitle =   {Proceedings of the 4th Israel-Korea Bi-National Conference on Geometric Modeling and Computer Graphics},
  editor =      {D. Cohen-Or and N. Dyn and G. Elber and A. Shamir},
  month =       feb,
  year =        2003,
  pages =       {1-5},
  address =     {Tel Aviv, Israel}
}

@TechReport{Wagner:2003:CCS,
  author =      {Marc Wagner and Kai Hormann and G{\"u}nther Greiner},
  title =       {{$C^2$}-continuous Surface Reconstruction with Piecewise Polynomial Patches},
  institution = {Department of Computer Science 9, University of Erlangen},
  number =      2,
  month =       feb,
  year =        2003
}

@InProceedings{Hormann:2003:CCT,
  author =      {Kai Hormann and Salvatore Spinello and Peter Schr{\"o}der},
  title =       {{$C^1$}-continuous Terrain Reconstruction from Sparse Contours},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 2003},
  editor =      {T. Ertl and B. Girod and G. Greiner and H. Niemann and H.-P. Seidel and E. Steinbach and R. Westermann},
  month =       nov,
  year =        2003,
  pages =       {289-297},
  address =     {M{\"u}nchen, Germany},
  publisher =   {Aka}
}

@Article{Tarini:2004:PCM,
  author =      {Marco Tarini and Kai Hormann and Paolo Cignoni and Claudio Montani},
  title =       {{P}oly{C}ube-{M}aps},
  journal =     {ACM Transactions on Graphics},
  volume =      23,
  number =      3,
  month =       aug,
  year =        2004,
  pages =       {853-860},
  note =        {Proceedings of ACM SIGGRAPH 2004}
}

@InProceedings{Hormann:2004:AQR,
  author =      {Kai Hormann and Marco Tarini},
  title =       {A Quadrilateral Rendering Primitive},
  booktitle =   {Graphics Hardware 2004},
  editor =      {T. Akenine-M{\"o}ller and M. McCool},
  series =      {Eurographics Symposium Proceedings},
  month =       aug,
  year =        2004,
  pages =       {7-14},
  address =     {Grenoble, France},
  publisher =   {Eurographics Association}
}

@InCollection{Floater:2005:SPA,
  author =      {Michael S. Floater and Kai Hormann},
  title =       {Surface Parameterization: a Tutorial and Survey},
  booktitle =   {Advances in Multiresolution for Geometric Modelling},
  editor =      {N. A. Dodgson and M. S. Floater and M. A. Sabin},
  series =      {Mathematics and Visualization},
  year =        2005,
  pages =       {157-186},
  publisher =   {Springer},
  address =     {Berlin, Heidelberg}
}

@InCollection{Dyn:2005:ACF,
  author =      {Nira Dyn and Michael S. Floater and Kai Hormann},
  title =       {A ${C}^2$ Four-Point Subdivision Scheme with Fourth Order Accuracy and its Extensions},
  booktitle =   {Mathematical Methods for Curves and Surfaces: Troms{\o} 2004},
  editor =      {M. D{\ae}hlen and K. M{\o}rken and L. L. Schumaker},
  series =      {Modern Methods in Mathematics},
  year =        2005,
  pages =       {145-156},
  publisher =   {Nashboro Press},
  address =     {Brentwood, TN}
}

@TechReport{Hormann:2005:BCF,
  author =      {Kai Hormann},
  title =       {Barycentric Coordinates for Arbitrary Polygons in the Plane},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-05-05},
  month =       feb,
  year =        2005
}

@Article{Floater:2006:AGC,
  author =      {Michael S. Floater and Kai Hormann and G{\'e}za K{\'o}s},
  title =       {A General Construction of Barycentric Coordinates over Convex Polygons},
  journal =     {Advances in Computational Mathematics},
  volume =      24,
  number =      {1--4},
  month =       jan,
  year =        2006,
  pages =       {311-331}
}

@TechReport{Hormann:2006:OLT,
  author =      {Kai Hormann and Johannes Zimmer},
  title =       {On {L}andau Theory and Symmetric Energy Landscapes for Phase Transitions},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-06-03},
  month =       apr,
  year =        2006
}

@TechReport{Floater:2006:BRI,
  author =      {Michael S. Floater and Kai Hormann},
  title =       {Barycentric Rational Interpolation with no Poles and High Rates of Approximation},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-06-06},
  month =       may,
  year =        2006
}

@TechReport{Hormann:2006:AFO,
  author =      {Kai Hormann and Malcolm A. Sabin},
  title =       {A Family of Subdivision Schemes with Cubic Precision},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-06-08},
  month =       jul,
  year =        2006
}

@Article{Hormann:2006:MVC,
  author =      {Kai Hormann and Michael S. Floater},
  title =       {Mean Value Coordinates for Arbitrary Planar Polygons},
  journal =     {ACM Transactions on Graphics},
  volume =      25,
  number =      4,
  month =       oct,
  year =        2006,
  pages =       {1424-1441}
}

@Article{Hormann:2007:OLT,
  author =      {Kai Hormann and Johannes Zimmer},
  title =       {On {L}andau Theory and Symmetric Energy Landscapes for Phase Transitions},
  journal =     {Journal of the Mechanics and Physics of Solids},
  volume =      55,
  number =      7,
  month =       jul,
  year =        2007,
  pages =       {1385-1409}
}

@Article{Floater:2007:BRI,
  author =      {Michael S. Floater and Kai Hormann},
  title =       {Barycentric Rational Interpolation with no Poles and High Rates of Approximation},
  journal =     {Numerische Mathematik},
  volume =      107,
  number =      2,
  month =       aug,
  year =        2007,
  pages =       {315-331}
}

@InProceedings{Hormann:2007:MPT,
  author =      {Kai Hormann and Bruno L{\'e}vy and Alla Sheffer},
  title =       {Mesh Parameterization: Theory and Practice},
  booktitle =   {SIGGRAPH 2007 Course Notes},
  number =      2,
  month =       aug,
  year =        2007,
  pages =       {vi+115},
  address =     {San Diego, CA},
  publisher =   {ACM Press}
}

@TechReport{Dyn:2007:FPC,
  author =      {Nira Dyn and Michael S. Floater and Kai Hormann},
  title =       {Four-Point Curve Subdivision Based on Iterated Chordal and Centripetal Parameterizations},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-07-06},
  month =       oct,
  year =        2007
}

@TechReport{Melato:2007:NGF,
  author =      {Markus Melato and Barbara Hammer and Kai Hormann},
  title =       {Neural Gas for Surface Reconstruction},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-07-08},
  month =       nov,
  year =        2007
}

@TechReport{Dyn:2007:PRB,
  author =      {Nira Dyn and Kai Hormann and Malcolm A. Sabin and Zuowei Shen},
  title =       {Polynomial Reproduction by Symmetric Subdivision Schemes},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-07-13},
  month =       nov,
  year =        2007
}

@Article{Hormann:2008:AFO,
  author =      {Kai Hormann and Malcolm A. Sabin},
  title =       {A Family of Subdivision Schemes with Cubic Precision},
  journal =     {Computer Aided Geometric Design},
  volume =      25,
  number =      1,
  month =       jan,
  year =        2008,
  pages =       {41-52}
}

@TechReport{Hormann:2008:EMO,
  author =      {Kai Hormann and Johannes Zimmer},
  title =       {Exact Modelling of the Phases at the Triple Point of Zirconia},
  institution = {Bath Institute for Complex Systems, University of Bath},
  number =      {9/08},
  month =       jun,
  year =        2008,
}

@Article{Winkler:2008:MMA,
  author =      {Tim Winkler and Kai Hormann and Craig Gotsman},
  title =       {Mesh Massage: A Versatile Mesh Optimization Framework},
  journal =     {The Visual Computer},
  volume =      24,
  number =      {7--9},
  month =       jul,
  year =        2008,
  pages =       {775-785},
  note =        {Best Papers of CGI 2008}
}

@Article{Hormann:2008:MEC,
  author =      {Kai Hormann and Natarajan Sukumar},
  title =       {Maximum Entropy Coordinates for Arbitrary Polytopes},
  journal =     {Computer Graphics Forum},
  volume =      27,
  number =      5,
  month =       jul,
  year =        2008,
  pages =       {1513-1520},
  note =        {Proceedings of SGP 2008}
}

@Article{Ponchio:2008:IRO,
  author =      {Federico Ponchio and Kai Hormann},
  title =       {Interactive Rendering of Dynamic Geometry},
  journal =     {IEEE Transactions on Visualization and Computer Graphics},
  volume =      14,
  number =      4,
  month =       jul # {/} # aug,
  year =        2008,
  pages =       {914-925}
}

@TechReport{Hormann:2008:EEO,
  author =      {Kai Hormann},
  title =       {Efficient Evaluation of Interpolating Cubic Polynomials},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-08-04},
  month =       aug,
  year =        2008,
}

@InProceedings{Winkler:2008:TMA,
  author =      {Tim Winkler and Jens Drieseberg and Alexander Hasenfu{\ss} and Barbara Hammer and Kai Hormann},
  title =       {Thinning Mesh Animations},
  booktitle =   {Proceedings of Vision, Modeling, and Visualization 2008},
  editor =      {O. Deussen and D. Keim and D. Saupe},
  month =       oct,
  year =        2008,
  pages =       {149-158},
  address =     {Konstanz, Germany},
  publisher =   {Aka}
}

@Article{Dyn:2008:PRB,
  author =      {Nira Dyn and Kai Hormann and Malcolm A. Sabin and Zuowei Shen},
  title =       {Polynomial Reproduction by Symmetric Subdivision Schemes},
  journal =     {Journal of Approximation Theory},
  volume =      155,
  number =      1,
  month =       nov,
  year =        2008,
  pages =       {28-42}
}

@InProceedings{Hormann:2008:MPT,
  author =      {Kai Hormann and Konrad Polthier and Alla Sheffer},
  title =       {Mesh Parameterization: Theory and Practice},
  booktitle =   {SIGGRAPH Asia 2008 Course Notes},
  number =      11,
  month =       dec,
  year =        2008,
  pages =       {v+81},
  address =     {Singapore},
  publisher =   {ACM Press}
}

@Article{Dyn:2009:FPC,
  author =      {Nira Dyn and Michael S. Floater and Kai Hormann},
  title =       {Four-Point Curve Subdivision Based on Iterated Chordal and Centripetal Parameterizations},
  journal =     {Computer Aided Geometric Design},
  volume =      26,
  number =      3,
  month =       mar,
  year =        2009,
  pages =       {279-286}
}

@Article{Dondl:2009:MTP,
  author =      {Patrick W. Dondl and Kai Hormann and Johannes Zimmer},
  title =       {Modeling Transformation Paths of Multiphase Materials: The Triple Point of Zirconia},
  journal =     {Physical Review B},
  volume =      79,
  number =      10,
  month =       mar,
  year =        2009,
  pages =       104114
}

@InProceedings{Hertel:2009:AHG,
  author =      {Stefan Hertel and Kai Hormann and R{\"u}diger Westermann},
  title =       {A Hybrid {GPU} Rendering Pipeline for Alias-Free Hard Shadows},
  booktitle =   {Eurographics 2009 Areas Papers},
  editor =      {D. Ebert and J. Kr{\"u}ger},
  month =       mar # {/} # apr,
  year =        2009,
  pages =       {59-66},
  address =     {M{\"u}nchen, Germany},
  publisher =   {Eurographics Association}
}

@TechReport{Dong:2009:POD,
  author =      {Bin Dong and Nira Dyn and Kai Hormann},
  title =       {Properties of Dual Pseudo-Splines},
  institution = {Department of Informatics, Clausthal University of Technology},
  number =      {IfI-09-03},
  month =       apr,
  year =        2009,
}

@Article{Dong:2010:POD,
  author =      {Bin Dong and Nira Dyn and Kai Hormann},
  title =       {Properties of Dual Pseudo-Splines},
  journal =     {Applied and Computational Harmonic Analysis},
  note =        {In press}
}

@TechReport{Conti:2010:PRF,
  author =      {Costanza Conti and Kai Hormann},
  title =       {Polynomial Reproduction for Univariate Subdivision Schemes of any Arity},
  institution = {Faculty of Informatics, Universit\`{a} della Svizzera italiana},
  number =      {USI-INF-TR-2010-2},
  month =       feb,
  year =        2010,
}

@Article{Winkler:2010:MGI,
  author =      {T. Winkler and J. Drieseberg and M. Alexa and K. Hormann},
  title =       {Multi-Scale Geometry Interpolation},
  journal =     {Computer Graphics Forum},
  volume =      29,
  number =      2,
  month =       may,
  year =        2010,
  note =        {Proceedings of Eurographics}
}