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@BOOK{Bobenko:645843,
      key          = {645843},
      editor       = {Bobenko, Alexander I.},
      title        = {{A}dvances in discrete differential geometry},
      address      = {Berlin, Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2026-00642},
      isbn         = {9783662504475},
      pages        = {439 pages},
      year         = {2016},
      abstract     = {This is one of the first books on a newly emerging field of
                      discrete differential geometry and an excellent way to
                      access this exciting area. It surveys the fascinating
                      connections between discrete models in differential geometry
                      and complex analysis, integrable systems and applications in
                      computer graphics.The authors take a closer look at discrete
                      models in differentialgeometry and dynamical systems. Their
                      curves are polygonal, surfacesare made from triangles and
                      quadrilaterals, and time is discrete.Nevertheless, the
                      difference between the corresponding smooth curves,surfaces
                      and classical dynamical systems with continuous time can
                      hardly be seen. This is the paradigm of structure-preserving
                      discretizations. Current advances in this field are
                      stimulated to a large extent by its relevance for computer
                      graphics and mathematical physics. This book is written by
                      specialists working together on a common research project.
                      It is about differential geometry and dynamical systems,
                      smooth and discrete theories, and on pure mathematics and
                      its practical applications. The interaction of these facets
                      is demonstrated by concrete examples, including discrete
                      conformal mappings, discrete complex analysis, discrete
                      curvatures and special surfaces, discrete integrable
                      systems, conformal texture mappings in computer graphics,
                      and free-form architecture.This richly illustrated book will
                      convince readers that this new branch of mathematics is both
                      beautiful and useful. It will appeal to graduate students
                      and researchers in differential geometry, complex analysis,
                      mathematical physics, numerical methods, discrete geometry,
                      as well as computer graphics and geometry processing.},
      typ          = {PUB:(DE-HGF)3},
      url          = {https://bib-pubdb1.desy.de/record/645843},
}