Complex Logarithmic Views for Small Details in Large Contexts

Böttger, Joachim; Balzer, Michael; Deussen, Oliver

Complex Logarithmic Views for Small Details in Large Contexts

Dateien

Complex_Logarithmic_Views_for_Small_Details.pdfGröße: 8.85 MBDownloads: 425

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Datum

2006

Autor:innen

Böttger, Joachim

Balzer, Michael

Deussen, Oliver

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

IEEE Transactions on Visualization and Computer Graphics. 2006, 12(5), pp. 845-852. Available under: doi: 10.1109/TVCG.2006.126

Zusammenfassung

Commonly known detail in context techniques for the two-dimensional Euclidean space enlarge details and shrink their context using mapping functions that introduce geometrical compression. This makes it difficult or even impossible to recognize shapes for large differences in magnification factors. In this paper we propose to use the complex logarithm and the complex root functions to show very small details even in very large contexts. These mappings are conformal, which means they only locally rotate and scale, thus keeping shapes intact and recognizable. They allow showing details that are orders of magnitude smaller than their surroundings in combination with their context in one seamless visualization. We address the utilization of this universal technique for the interaction with complex two-dimensional data considering the exploration of large graphs and other examples.

Fachgebiet (DDC)

004 Informatik

Schlagwörter

Detail in context, complex logarithm, conformal mappings, analytic functions, interaction

Zitieren

ISO 690

BÖTTGER, Joachim, Michael BALZER, Oliver DEUSSEN, 2006. Complex Logarithmic Views for Small Details in Large Contexts. In: IEEE Transactions on Visualization and Computer Graphics. 2006, 12(5), pp. 845-852. Available under: doi: 10.1109/TVCG.2006.126

BibTex

@article{Bottger2006Compl-6377,
  year={2006},
  doi={10.1109/TVCG.2006.126},
  title={Complex Logarithmic Views for Small Details in Large Contexts},
  number={5},
  volume={12},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  pages={845--852},
  author={Böttger, Joachim and Balzer, Michael and Deussen, Oliver}
}

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Universitätsbibliographie

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