2008
DOI: 10.1109/tvcg.2008.133
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Generation of Accurate Integral Surfaces in Time-Dependent Vector Fields

Abstract: Abstract-We present a novel approach for the direct computation of integral surfaces in general vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of previous techniques. We first describe an algorithm for surface integration that approximates a series of timelines using iterative refinement… Show more

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Cited by 66 publications
(49 citation statements)
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“…More recently, Garth et al [10] replaced the advancing front paradigm by an incremental time line approximation scheme, allowing them to keep particle integration localized in time. They applied this algorithm to compute stream surfaces and path surfaces in large and time-varying CFD datasets.…”
Section: Integral Surface Generationmentioning
confidence: 99%
“…More recently, Garth et al [10] replaced the advancing front paradigm by an incremental time line approximation scheme, allowing them to keep particle integration localized in time. They applied this algorithm to compute stream surfaces and path surfaces in large and time-varying CFD datasets.…”
Section: Integral Surface Generationmentioning
confidence: 99%
“…By moving from time-based integral curve integration to arc length-based integration and incorporating front refinement criteria based on curvature, better resolution control is achieved, and complex flow patterns can be adequately resolved. In a later paper, these authors described an algorithm that translates these results to time-varying flow [9].…”
Section: Stream Surface Definition and Computationmentioning
confidence: 99%
“…Garth et al [9], Hummel et al [13], and Born et al [2] recently investigated advanced rendering techniques including nonphotorealistic rendering and better texture mapping to achieve improved visual depictions of stream surfaces (cf. Figure 3).…”
Section: Stream Surface Definition and Computationmentioning
confidence: 99%
“…Lastly, we incorporate integral surfaces. Garth et al [7] have described a generic hardware-accelerated approach for generating pathsurfaces, while Bürger et al [3] presented a real-time technique for the generation of streak surfaces. Recently, Born et al [2] and Hummel et al [10] introduced distinct illustrative visualization styles for integral surfaces.…”
Section: Related Workmentioning
confidence: 99%
“…Implementation: A range of approaches for integral-surface generation were presented in the literature. Garth et al [7] presented an accurate generation of integral surfaces in unsteady flow fields, and focus on an adaptively-refined propagation of the surface front. They observe the separation between pathline and timeline generation, as depicted in figure 7d.…”
Section: Integral Surfacesmentioning
confidence: 99%