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RealSurf – A Tool for the Interactive Visualization of Mathematical Models

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Arts and Technology (ArtsIT 2009)

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Abstract

For applications in fine art, architecture and engineering it is often important to visualize and to explore complex mathematical models. In former times there were static models of them collected in museums respectively in mathematical institutes. In order to check their properties for esthetical reasons it could be helpful to explore them interactively in 3D in real time. For the class of implicitly given algebraic surfaces we developed the tool RealSurf. Here we give an introduction to the program and some hints for the design of interesting surfaces.

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References

  1. Endraß, S.: Surf (2001), http://surf.sourceforge.net

  2. Fischer, G. (ed.): Mathematische Modelle. Vieweg (1986)

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  3. Glaeser, G.: Geometrie und ihre Anwendungen in Kunst, Natur und Technik, 2nd edn. Elsevier, Spektrum Akademischer Verlag (2007)

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  4. Greuel, G.M.: Imaginary – Mit den Augen der Mathematik (2008), http://www.imaginary2008.de

  5. Hauser, H.: Animation von Flächen (2005), http://homepage.univie.ac.at/herwig.hauser/

  6. Stussak, C.: Echtzeit-Raytracing algebraischer Flächen auf der GPU. Diploma thesis, Martin Luther University Halle-Wittenberg (2007), http://realsurf.informatik.uni-halle.de

  7. Weisstein, E.W.: Algebraic surface (2009), http://mathworld.wolfram.com/AlgebraicSurface.html

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Author information

Authors and Affiliations

  1. Martin Luther University Halle-Wittenberg, Institute of Computer Science, Von-Seckendorff-Platz 1, D – 06120, Halle (Saale), Germany

    Christian Stussak & Peter Schenzel

Authors
  1. Christian Stussak
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  2. Peter Schenzel
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Editor information

Editors and Affiliations

  1. Institute of Computer Science and Information Engineering, National Ilan University, 26047, Yilan, Taiwan, R.O.C.

    Fay Huang

  2. Department of Computer Science and Information Engineering, National Dong Hwa University, No. 1, Sec.2, Da Hsueh Rd. Shoufeng, 97401, Hualien, Taiwan, R.O.C.

    Reen-Cheng Wang

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© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Stussak, C., Schenzel, P. (2010). RealSurf – A Tool for the Interactive Visualization of Mathematical Models. In: Huang, F., Wang, RC. (eds) Arts and Technology. ArtsIT 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11577-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-11577-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11576-9

  • Online ISBN: 978-3-642-11577-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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