2014
DOI: 10.1111/cgf.12336
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Hierarchical opacity optimization for sets of 3D line fields

Abstract: Figure 1: View-dependent, frame-coherent and interactive selection of meaningful lines for sets of line fields: pathlines (left, 58 ms/opacity update) and streaklines (right, 78 ms/opacity update) in a cylinder flow. AbstractThe selection of meaningful lines for 3D line data visualization has been intensively researched in recent years. Most approaches focus on single line fields where one line passes through each domain point. This paper presents a selection approach for sets of line fields which is based on … Show more

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Cited by 20 publications
(25 citation statements)
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“…Edges may be generated by defining the neighbourhood relationship of two nodes using their spatial distance [PTRV12] or their distance in the feature space, such as transition probability [JS09, GW11]. They may also originate from the hierarchical structure by clustering the nodes [IVJ12, GRT14].…”
Section: Discussionmentioning
confidence: 99%
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“…Edges may be generated by defining the neighbourhood relationship of two nodes using their spatial distance [PTRV12] or their distance in the feature space, such as transition probability [JS09, GW11]. They may also originate from the hierarchical structure by clustering the nodes [IVJ12, GRT14].…”
Section: Discussionmentioning
confidence: 99%
“…We can perform node grouping bottom up by agglomerative clustering [PIB*11] or top down by graph partitioning [IVJ12]. The complete hierarchy can be captured by tree‐based representations [LLRR08, IVJ12, GRT14], where all clusters at different levels are displayed. An alternative strategy is to display the nodes corresponding to coarse clusters at the beginning.…”
Section: Discussionmentioning
confidence: 99%
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“…Future work includes the extension to animated surfaces and accelerated solving by partitioning the surfaces in a view‐dependent way in the spirit of [GRT14]. Surface opacity optimization can also be extended to point sets, since geodesics can be computed for them, too [CWW13].…”
Section: Discussionmentioning
confidence: 99%
“…For line geometry, Günther et al [20] formulated the adjustment of the line opacity as a global optimization problem with bounded variables. Their approach was later extended to animated lines [21], opacity optimization for surfaces [22] and extinction optimization for volumes [1]. Ament et al [1] approximated the energy and reformulated the minimization in ray space, which enabled a significant acceleration for volume data, which was later carried into point, line and surface geometry by Günther et al [23] in their decoupled opacity optimization.…”
Section: Introductionmentioning
confidence: 99%