Isometric embedding by surface reconstruction from distances

Proceedings of the IEEE Visualization Conference

Volumn , Issue , 2002, Pages 251-258

  Hotz, Ingrid ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

Isometric embedding; Metric; Tensor fields

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; IMAGE RECONSTRUCTION; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; TENSORS;

ISOMETRIC EMBEDDING;

COMPUTER GRAPHICS;

EID: 0036448614     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. Manfredo P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall, 1976.
2. R.K. Dodd A new Approach to the Visualization of Tensor Fields Graphical Models and Image Processing 60, pages 286-303.
3. W. Press, S. Teukolsky, W. Vetterling, B. Flannery, Numerical Recipes in C, 2end edition, Cambridge University Press, 1992.
4. Hans-Peter Nollert, Heinz Herold (1996): Visualization in Curves Spacetimes - Visualization of Surfaces via Embedding, F.W. Hehl, R.A.Puntigam, H.Ruder (Eds.) Relativity and Scientific Computing. Springer Berlin Heidelberg,pages 330-351.
5. Th. Delmarcelle, L.Hesselink Visualization of Second Order Tensor Fields IEEE Visualization 1992, pages 316-323.
6. Lambertus Hesselink, Yuval Levy, Yingmei Lavin (1997), The Topology of Symmetric Second-Order 3D Tensor Fields, IEEE Transactions on Visualization and Computer Graphics, vol 3 No 1, pages 1-11.
7. Ingrid Hotz (2001): Visualizing second order symmetric tensor-fields as metrical surfaces, Work in Progress, Visualization Conference San Diego 2001.
8. Ingrid Hotz, Hans Hagen: Isometric embedding for a discrete metric, in the Book "Geometric Modelling for Scientific Visualization" Co-editors: Guido Brunnett, Bernd Hamann, Heinrich Mueller (accepted for publication).
9. Ed. Boring, A. Pang, Interactive Deformations firm Tensor Fields IEEE Visualization, 1998, pages 297-304.
10. Mihai Bondarescu, Miguel Alcubierre, Edward Seidel (2001): Isometric embeddings of black hole horizons in threedimensional flat space, arXiv:gr-qc/0109093.