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Tensor Splats

Please always quote using this URN: urn:nbn:de:0297-zib-7393
  • An improved general-purpose technique for the visualization of symmetric positive definite tensor fields of rank two is described. It is based on a splatting technique that is built from tiny transparent glyph primitives which are capable to incorporate the full directional information content of a tensor. The result is an information-rich image that allows to read off the preferred directions in a tensor field at each point of a three-dimensional volume or two-dimensional surface. It is useful for analyzing slices or volumes of a three-dimensional tensor field and can be overlayed with standard volume rendering or color mapping. The application of the rendering technique is demonstrated on general relativistic data and the diffusion tensor field of a human brain.

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Author:Werner Benger, Hans-Christian HegeORCiDGND
Document Type:ZIB-Report
Tag:diffusion tensor images; general relativity; metric; splatting; tensor field visualization; volume rendering
MSC-Classification:68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Uxx Computing methodologies and applications / 68U99 None of the above, but in this section
83-XX RELATIVITY AND GRAVITATIONAL THEORY / 83Cxx General relativity / 83C99 None of the above, but in this section
CCS-Classification:I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.3 Picture/Image Generation
I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.7 Three-Dimensional Graphics and Realism
PACS-Classification:00.00.00 GENERAL / 04.00.00 General relativity and gravitation (for astrophysical aspects, see 95.30.Sf Relativity and gravitation; for relativistic aspects of cosmology, see 98.80.Jk); Special relativity, see 03.30.+p / 04.70.-s Physics of black holes (see also 97.60.Lf-in astronomy)
00.00.00 GENERAL / 07.00.00 Instruments, apparatus, and components common to several branches of physics and astronomy (see also each subdiscipline for specialized instrumentation and techniques) / 07.05.-t Computers in experimental physics; Computers in education, see 01.50.H- and 01.50.Lc; Computational techniques, see 02.70.-c; Quantum computation architectures and implementations, see 03.67.Lx; Optical computers, see 42.79.Ta / 07.05.Rm Data presentation and visualization: algorithms and implementation
Date of first Publication:2003/06/18
Series (Serial Number):ZIB-Report (03-17)
Published in:Appeared under the title "Analyzing Curved Spacetimes with Tensor Splats" in: M. Novello and S. Perez-Bergliaffa (eds.) Proceedings of the 10th Marcel Grossmann Meeting in Theoretical and Experimental Relativity, Gravitation and Relativistic Field Theories, Vol. 3, pp. 1619-1624. World Scientific, Singapore, 2006
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