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  Implicit Integral Surfaces

Stöter, T., Weinkauf, T., Seidel, H.-P., & Theisel, H. (2012). Implicit Integral Surfaces. In M. Gösele, T. Grosch, H. Theisel, K. Toennies, & B. Preim (Eds.), VMV 2012 Vision, Modeling & Visualization (pp. 127-134). Goslar: Eurographics Association. doi:10.2312/PE/VMV/VMV12/127-134.

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 Creators:
Stöter, Torsten1, Author           
Weinkauf, Tino1, Author           
Seidel, Hans-Peter1, Author           
Theisel, Holger2, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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 Abstract: We present an implicit method for globally computing all four classic types of integral surfaces -- stream, path, streak, and time surfaces in 3D time-dependent vector fields. Our novel formulation is based on the representation of a time surface as implicit isosurface of a 3D scalar function advected by the flow field. The evolution of a time surface is then given as an isovolume in 4D space-time spanned by a series of advected scalar functions. Based on this, the other three integral surfaces are described as the intersection of two isovolumes derived from different scalar functions. Our method uses a dense flow integration to compute integral surfaces globally in the entire domain. This allows to change the seeding structure efficiently by simply defining new isovalues. We propose two rendering methods that exploit the implicit nature of our integral surfaces: 4D raycasting, and projection into a 3D volume. Furthermore, we present a marching cubes inspired surface extraction method to convert the implicit surface representation to an explicit triangle mesh. In contrast to previous approaches for implicit stream surfaces, our method allows for multiple voxel intersections, covers all regions of the flow field, and provides full control over the seeding line within the entire domain.

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Language(s): eng - English
 Dates: 20122012
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: Local-ID: CE2200B8F8C0B666C1257AD8003ECF58-stoeter12
DOI: 10.2312/PE/VMV/VMV12/127-134
BibTex Citekey: stoeter12
 Degree: -

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Title: 17th Annual Workshop on Vision, Modeling and Visualization
Place of Event: Magdeburg, Germany
Start-/End Date: 2012-11-12 - 2012-11-14

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Title: VMV 2012 Vision, Modeling & Visualization
  Abbreviation : VMV 2012
  Subtitle : Magdeburg, Germany, 12 – 14 November 2012
Source Genre: Proceedings
 Creator(s):
Gösele, Michael1, Editor           
Grosch, Thorsten1, Editor
Theisel, Holger1, Editor           
Toennies, Klaus1, Editor
Preim, Bernhard1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Goslar : Eurographics Association
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 127 - 134 Identifier: ISBN: 978-3-905673-95-1