Towards Glyphs for Uncertain Symmetric Second-Order Tensors
| dc.contributor.author | Gerrits, Tim | en_US |
| dc.contributor.author | Rössl, Christian | en_US |
| dc.contributor.author | Theisel, Holger | en_US |
| dc.contributor.editor | Gleicher, Michael and Viola, Ivan and Leitte, Heike | en_US |
| dc.date.accessioned | 2019-06-02T18:27:57Z | |
| dc.date.available | 2019-06-02T18:27:57Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Measured data often incorporates some amount of uncertainty, which is generally modeled as a distribution of possible samples. In this paper, we consider second-order symmetric tensors with uncertainty. In the 3D case, this means the tensor data consists of 6 coefficients - uncertainty, however, is encoded by 21 coefficients assuming a multivariate Gaussian distribution as model. The high dimension makes the direct visualization of tensor data with uncertainty a difficult problem, which was until now unsolved. The contribution of this paper consists in the design of glyphs for uncertain second-order symmetric tensors in 2D and 3D. The construction consists of a standard glyph for the mean tensor that is augmented by a scalar field that represents uncertainty. We show that this scalar field and therefore the displayed glyph encode the uncertainty comprehensively, i.e., there exists a bijective map between the glyph and the parameters of the distribution. Our approach can extend several classes of existing glyphs for symmetric tensors to additionally encode uncertainty and therefore provides a possible foundation for further uncertain tensor glyph design. For demonstration, we choose the well-known superquadric glyphs, and we show that the uncertainty visualization satisfies all their design constraints. | en_US |
| dc.description.number | 3 | |
| dc.description.sectionheaders | Higher-Order Data Types | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 38 | |
| dc.identifier.doi | 10.1111/cgf.13692 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 325-336 | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.13692 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf13692 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.subject | Human | |
| dc.subject | centered computing | |
| dc.subject | Scientific visualization | |
| dc.title | Towards Glyphs for Uncertain Symmetric Second-Order Tensors | en_US |