Line density control in screen-space via balanced line hierarchies. Kanzler, M., Ferstl, F., & Westermann, R. Computers and Graphics, 61:29-39, Pergamon, 4, 2016.
Line density control in screen-space via balanced line hierarchies [link]Website  doi  abstract   bibtex   
For the visualization of dense sets of 3D lines, view-dependent approaches have been proposed to avoid the occlusion of important structures. Popular concepts consider global line selection based on line importance and screen-space occupancy, and opacity optimization to resolve locally the occlusion problem. In this work, we present a novel approach to improve the spatial perception and enable the interactive visualization of large 3D line sets. Instead of making lines locally transparent, which affects a lines spatial perception and can obscure spatial relationships, we propose to adapt the line density based on line importance and screen-space occupancy. In contrast to global line selection, however, our adaptation is local and only thins out the lines where significant occlusions occur. To achieve this we present a novel approach based on minimum cost perfect matching to construct an optimal, fully balanced line hierarchy. For determining locally the desired line density, we propose a projection-based screen-space measure considering the variation in line direction, line coverage, importance, and depth. This measure can be computed in an order-independent way and evaluated efficiently on the GPU.
@article{
 title = {Line density control in screen-space via balanced line hierarchies},
 type = {article},
 year = {2016},
 keywords = {Flow visualization,Focus + Context,Line fields,Line hierarchy,Scientific visualization},
 pages = {29-39},
 volume = {61},
 websites = {https://www.sciencedirect.com/science/article/pii/S0097849316300899},
 month = {4},
 publisher = {Pergamon},
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 abstract = {For the visualization of dense sets of 3D lines, view-dependent approaches have been proposed to avoid the occlusion of important structures. Popular concepts consider global line selection based on line importance and screen-space occupancy, and opacity optimization to resolve locally the occlusion problem. In this work, we present a novel approach to improve the spatial perception and enable the interactive visualization of large 3D line sets. Instead of making lines locally transparent, which affects a lines spatial perception and can obscure spatial relationships, we propose to adapt the line density based on line importance and screen-space occupancy. In contrast to global line selection, however, our adaptation is local and only thins out the lines where significant occlusions occur. To achieve this we present a novel approach based on minimum cost perfect matching to construct an optimal, fully balanced line hierarchy. For determining locally the desired line density, we propose a projection-based screen-space measure considering the variation in line direction, line coverage, importance, and depth. This measure can be computed in an order-independent way and evaluated efficiently on the GPU.},
 bibtype = {article},
 author = {Kanzler, Mathias and Ferstl, Florian and Westermann, Rüdiger},
 doi = {10.1016/j.cag.2016.08.001},
 journal = {Computers and Graphics}
}

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