~blackhc/+junk/mbtpaper : revision 42

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}

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@article{Spillmann.2008,

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author = {Spillmann, Jonas and Teschner, Matthias},

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year = {2008},

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title = {An Adaptive Contact Model for the Robust Simulation of Knots},

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pages = {497--506},

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volume = {27},

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number = {2},

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issn = {0167-7055},

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journal = {Computer Graphics Forum},

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doi = {10.1111/j.1467-8659.2008.01147.x}

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@misc{Wikipedia.12102011,

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author = {Wikipedia},

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editor = {Wikipedia},

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year = {12/10/2011},

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title = {Euler--Lagrange equation - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=465195410},

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keywords = {wikipedia},

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urldate = {12/12/2011}

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}

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}

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@book{Lengyel.2011,

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author = {Lengyel, Eric},

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year = {2011},

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title = {Mathematics for 3D game programming and computer graphics, third edition},

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address = {Boston MA},

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edition = {3},

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publisher = {Cengage Learning},

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isbn = {1435458869},

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series = {Game Development}

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}

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@misc{DiffGeo,

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author = {Hoffmann, Tim},

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year = {2011},

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title = {Differentialgeometrie: Grundlagen},

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url = {http://www-m10.ma.tum.de/bin/view/Lehre/SS11/DifferentialGeometrieGrundlagenSS11},

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institutions = {TUM}

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}

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@misc{DDG,

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author = {Hoffmann, Tim},

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year = {2009},

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title = {Discrete Differential Geometry of Curves and Surfaces},

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series = {MI Lecture Note Series}

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}

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@book{Hairer.2006,

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author = {Hairer, E. and Lubich, Christian and Wanner, Gerhard},

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year = {2006},

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}

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@misc{Levien.2008,

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abstract = {This report traces the history of the elastica from its first precise formulation by James Bernoulli in 1691 through the present. The complete solution is most commonly attributed to Euler in 1744 because of his compelling mathematical treatment and illustrations, but in fact James Bernoulli had arrived at the correct equation a half-century earlier. The elastica can be understood from a number of different aspects, including as a mechanical equilibrium, a problem of the calculus of variations, and the solutionto elliptic integrals. In addition, it has a number of analogies with physical systems, including a sheet holding a volume of water, the surface of a capillary, and he motion of a simple pendulum. It is also the mathematical model of the mechanical spline, used for shipbuilding and similar applications, and directly inspired the modern theory of mathematical splines. More recently, the major focus has been on efficient numerical techniques for computing the elastica and fitting it to spline problems. All in all,it is a beautiful family of curves based on beautiful mathematics and a rich and fascinating history.This report is adapted from a Ph.D. thesis done under the direction of Prof. Carlo H. Sequin.},

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author = {Levien, Raph},

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year = {2008},

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title = {The elastica: a mathematical history},

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url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2008/EECS-2008-103.html},

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keywords = {printed;elastic rods},

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number = {UCB/EECS-2008-103},

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institution = {{EECS Department, University of California, Berkeley}}

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}

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@book{Gross.2005,

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author = {Gross, Dietmar and Hauger, Werner and Schnell, Walter and Schr{\"o}der, J{\"o}rg},

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year = {2005},

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}

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@book{Grady.2010,

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abstract = {The goal of this book is to bring together three active areas of current research into a single framework and show how each area benefits from more exposure to the other two. The areas are: discrete calculus, complex networks, and algorithmic content extraction. Although there have been a few intersections in the literature between these areas, they have largely developed independently of one another. However, we believe that researchers working in any one of these three areas can strongly benefit from the tools and techniques being developed in the others. We begin this book by outlining each of these three areas, their history and their relationship to one another. Subsequently, we outline the structure of this work and help the reader navigate its contents.},

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author = {Grady, Leo J.},

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year = {2010},

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title = {Discrete calculus},

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address = {New York},

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edition = {1},

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publisher = {Springer},

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isbn = {9781849962896}

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}

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@misc{DDG,

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author = {Hoffmann, Tim},

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year = {2009},

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title = {Discrete Differential Geometry of Curves and Surfaces},

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series = {MI Lecture Note Series}

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}

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@misc{Levien.2008,

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abstract = {This report traces the history of the elastica from its first precise formulation by James Bernoulli in 1691 through the present. The complete solution is most commonly attributed to Euler in 1744 because of his compelling mathematical treatment and illustrations, but in fact James Bernoulli had arrived at the correct equation a half-century earlier. The elastica can be understood from a number of different aspects, including as a mechanical equilibrium, a problem of the calculus of variations, and the solutionto elliptic integrals. In addition, it has a number of analogies with physical systems, including a sheet holding a volume of water, the surface of a capillary, and he motion of a simple pendulum. It is also the mathematical model of the mechanical spline, used for shipbuilding and similar applications, and directly inspired the modern theory of mathematical splines. More recently, the major focus has been on efficient numerical techniques for computing the elastica and fitting it to spline problems. All in all,it is a beautiful family of curves based on beautiful mathematics and a rich and fascinating history.This report is adapted from a Ph.D. thesis done under the direction of Prof. Carlo H. Sequin.},

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author = {Levien, Raph},

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year = {2008},

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title = {The elastica: a mathematical history},

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url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2008/EECS-2008-103.html},

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keywords = {printed;elastic rods},

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number = {UCB/EECS-2008-103},

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institution = {{EECS Department, University of California, Berkeley}}

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}

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@article{Langer.1996,

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author = {Langer, Joel and Singer, David A.},

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year = {1996},

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}

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@misc{DiffGeo,

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author = {Hoffmann, Tim},

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year = {2011},

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title = {Differentialgeometrie: Grundlagen},

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url = {http://www-m10.ma.tum.de/bin/view/Lehre/SS11/DifferentialGeometrieGrundlagenSS11},

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institutions = {TUM}

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}

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@misc{Wikipedia.11132011,

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author = {Wikipedia},

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editor = {Wikipedia},

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year = {11/13/2011},

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title = {Holonomy - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=448873802},

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keywords = {wikipedia},

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urldate = {11/22/2011}

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@article{Spillmann.2008,

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author = {Spillmann, Jonas and Teschner, Matthias},

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year = {2008},

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title = {An Adaptive Contact Model for the Robust Simulation of Knots},

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pages = {497--506},

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volume = {27},

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number = {2},

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issn = {0167-7055},

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journal = {Computer Graphics Forum},

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doi = {10.1111/j.1467-8659.2008.01147.x}

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}

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}

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@misc{Wikipedia.12102011,

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@misc{Wikipedia.10132011,

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author = {Wikipedia},

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editor = {Wikipedia},

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year = {12/10/2011},

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title = {Euler--Lagrange equation - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=465195410},

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keywords = {wikipedia},

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urldate = {12/12/2011}

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year = {10/13/2011},

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title = {Divergence theorem - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=455380352},

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urldate = {10/25/2011}

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}

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}

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@misc{Wikipedia.10132011,

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@misc{Wikipedia.11132011,

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author = {Wikipedia},

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editor = {Wikipedia},

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year = {10/13/2011},

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title = {Divergence theorem - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=455380352},

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urldate = {10/25/2011}

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year = {11/13/2011},

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title = {Holonomy - Wikipedia, the free encyclopedia},

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url = {http://en.wikipedia.org/w/index.php?oldid=448873802},

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keywords = {wikipedia},

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urldate = {11/22/2011}

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}

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}

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@book{Grady.2010,

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abstract = {The goal of this book is to bring together three active areas of current research into a single framework and show how each area benefits from more exposure to the other two. The areas are: discrete calculus, complex networks, and algorithmic content extraction. Although there have been a few intersections in the literature between these areas, they have largely developed independently of one another. However, we believe that researchers working in any one of these three areas can strongly benefit from the tools and techniques being developed in the others. We begin this book by outlining each of these three areas, their history and their relationship to one another. Subsequently, we outline the structure of this work and help the reader navigate its contents.},

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author = {Grady, Leo J.},

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year = {2010},

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title = {Discrete calculus},

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address = {New York},

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edition = {1},

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publisher = {Springer},

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isbn = {9781849962896}

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}

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@book{Audoly.2010,

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author = {Audoly, B. and Pomeau, Yves},

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year = {2010},