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We suggest using nonnegative matrix factorization (NMF) to identify such areas in stimuli. For a user-defined integer k, NMF produces an explainable decomposition into k components, each consisting of a spatial representation associated with a temporal indicator. In the context of multiple eye-tracking recordings, this leads to k spatial representations, where the temporal indicator highlights the appearance within recordings. The choice of k provides an opportunity to control the refinement of the decomposition, i.e., the number of areas to detect. We combine our NMF-based approach with visualization techniques to enable an exploratory analysis of multiple recordings. Finally, we demonstrate the usefulness of our approach with mobile eye-tracking data of an art gallery.","annote":"","author":[{"family":"Klötzl","given":"Daniel"},{"family":"Krake","given":"Tim"},{"family":"Heyen","given":"Frank"},{"family":"Becher","given":"Michael"},{"family":"Koch","given":"Maurice"},{"family":"Weiskopf","given":"Daniel"},{"family":"Kurzhals","given":"Kuno"}],"citation-label":"Klötzl2024","collection-editor":[],"collection-title":"ETRA '24","container-author":[],"container-title":"Proceedings of the 2024 Symposium on Eye Tracking Research and Applications","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2024","6","4"]],"literal":"2024"},"event-place":"<conf-loc>, <city>Glasgow<\/city>, <country>United Kingdom<\/country>, <\/conf-loc>","id":"3bee5f0d785c3e9a969e6421312e2669dropit","interhash":"e2ee5bef062141a29b4e9f2352ed6619","intrahash":"3bee5f0d785c3e9a969e6421312e2669","issue":"","issued":{"date-parts":[["2024","6","4"]],"literal":"2024"},"keyword":"myown visus:weiskopf dropit visus:kloetzdl visus","misc":{"isbn":"9798400706073","location":"<conf-loc>, <city>Glasgow<\/city>, <country>United Kingdom<\/country>, <\/conf-loc>","doi":"10.1145/3649902.3653518"},"note":"","number":"","number-of-pages":"8","page":"1–9","page-first":"1","publisher":"Association for Computing Machinery","publisher-place":"<conf-loc>, <city>Glasgow<\/city>, <country>United Kingdom<\/country>, <\/conf-loc>","status":"","title":"NMF-Based Analysis of Mobile Eye-Tracking Data","type":"paper-conference","username":"dropit","version":"","volume":""},"c4d5c92703e724619b53c9034d9e74aadropit":{"DOI":"10.1007/s00348-024-03800-5","ISBN":"","ISSN":"1432-1114","URL":"https://doi.org/10.1007/s00348-024-03800-5","abstract":"This work presents a systematic experimental study of droplet impact onto a wet substrate. Four different silicone oils are used, covering a range of Reynolds number between \\$\\$116< \\backslashtext\\Re\\ <1106\\$\\$at two different initial wall film heights. The objective is to characterize the temporal and radial evolution of the velocity field within the crown crater by means of micro-PIV. Our findings show that the velocity field has the structure of an axisymmetric stagnation point flow with decaying strength a(t). The latter exhibits an exponential decay and can be explained in terms of the exponential decay of the pressure force exerted by the impacting droplet onto the wall film. In this context, the commonly accepted functional dependence \\$\\$a(t) \\backslashpropto t^\\-1\\\\$\\$represents only the first-order Taylor approximation of the exponential decay and has therefore only a limited temporal validity. The analysis also corroborates the existence of an inertial regime concerning the velocity field for \\$\\$\\\\backslashtext\\Re\\\\ > 270\\$\\$. This is not observed at lower Re numbers due to the increased pressure losses caused by the extensional (normal) strain during the radial spreading of the lamella. To validate these findings a holistic approach is chosen, which combines numerical results, analytical solutions and experimental data from literature. In particular, by using the continuity equation, it is shown that the experimental decay of the wall film height can be reconstructed from the velocity measurements. Consilience of results from different approaches provides a robust validation of the micro-PIV data obtained in this work.","annote":"","author":[{"family":"Schubert","given":"Stefan"},{"family":"Steigerwald","given":"Jonas"},{"family":"Geppert","given":"Anne K."},{"family":"Weigand","given":"Bernhard"},{"family":"Lamanna","given":"Grazia"}],"citation-label":"Schubert2024","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Experiments in Fluids","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2024","apr","20"]],"literal":"2024"},"event-place":"","id":"c4d5c92703e724619b53c9034d9e74aadropit","interhash":"dd3698a09c9eef3a0ca513d7c65417fd","intrahash":"c4d5c92703e724619b53c9034d9e74aa","issue":"5","issued":{"date-parts":[["2024","apr","20"]],"literal":"2024"},"keyword":"itlr myown lamanna dropit geppert_a weigand","misc":{"issn":"1432-1114","doi":"10.1007/s00348-024-03800-5"},"note":"","number":"5","page":"69","page-first":"69","publisher":"","publisher-place":"","status":"","title":"Micro-PIV study on the influence of viscosity on the dynamics of droplet impact onto a thin film","type":"article-journal","username":"dropit","version":"","volume":"65"},"0acc87c267336965dcdd32e54af3525adropit":{"DOI":"10.1109/TVCG.2024.3364388","ISBN":"","ISSN":"1941-0506","URL":"","abstract":"Seasonal-trend decomposition based on loess (STL) is a powerful tool to explore time series data visually. In this paper, we present an extension of STL to uncertain data, named uncertainty-aware STL (UASTL). Our method propagates multivariate Gaussian distributions mathematically exactly through the entire analysis and visualization pipeline. Thereby, stochastic quantities shared between the components of the decomposition are preserved. Moreover, we present application scenarios with uncertainty modeling based on Gaussian processes, e.g., data with uncertain areas or missing values. Besides these mathematical results and modeling aspects, we introduce visualization techniques that address the challenges of uncertainty visualization and the problem of visualizing highly correlated components of a decomposition. The global uncertainty propagation enables the time series visualization with STL-consistent samples, the exploration of correlation between and within decomposition's components, and the analysis of the impact of varying uncertainty. Finally, we show the usefulness of UASTL and the importance of uncertainty visualization with several examples. Thereby, a comparison with conventional STL is performed.","annote":"","author":[{"family":"Krake","given":"Tim"},{"family":"Klötzl","given":"Daniel"},{"family":"Hägele","given":"David"},{"family":"Weiskopf","given":"Daniel"}],"citation-label":"10433771","collection-editor":[],"collection-title":"","container-author":[],"container-title":"IEEE Transactions on Visualization and Computer Graphics","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2024"]],"literal":"2024"},"event-place":"","id":"0acc87c267336965dcdd32e54af3525adropit","interhash":"26dec9d0381e5bab811d4bff7f9181e3","intrahash":"0acc87c267336965dcdd32e54af3525a","issue":"","issued":{"date-parts":[["2024"]],"literal":"2024"},"keyword":"myown dropit 2024 visus:kraketm visus:weiskopf visus:kloetzdl","misc":{"issn":"1941-0506","doi":"10.1109/TVCG.2024.3364388"},"note":"","number":"","number-of-pages":"15","page":"1-16","page-first":"1","publisher":"","publisher-place":"","status":"","title":"Uncertainty-Aware Seasonal-Trend Decomposition Based on Loess","type":"article-journal","username":"dropit","version":"","volume":""},"e9ca153ca6b82bac6081b41174ff055ddropit":{"DOI":"10.1038/s41598-024-51382-3","ISBN":"","ISSN":"2045-2322","URL":"https://doi.org/10.1038/s41598-024-51382-3","abstract":"We experimentally observe a new phenomenon, the formation of a toroidal region of lower film thickness in the center of the lamella formed during high Weber number water droplet impacts onto smooth heated walls. This region forms around the air bubble, which is entrapped during the initial impact phase at the impact center. Our study encompasses a variation of the droplet size, impact velocity, surface wettability and temperature. We show how this phenomenon can be explained considering a two-step process involving thermocapillary convection in two separate regions: The temperature gradient along the surface of the entrapped air bubble caused by heat conduction induces flow that pumps warmer liquid to the lamella-ambient interface due to the Marangoni effect. The non-uniform temperature distribution along it then causes fluid acceleration in the radial direction, depleting the fluid volume around the bubble in a self-amplifying manner. We use direct numerical simulations of a stagnant liquid film with an enclosed bubble at the wall to confirm this theory.","annote":"","author":[{"family":"Palmetshofer","given":"Patrick"},{"family":"Geppert","given":"Anne K."},{"family":"Steigerwald","given":"Jonas"},{"family":"Arcos Marz","given":"Tim"},{"family":"Weigand","given":"Bernhard"}],"citation-label":"Palmetshofer2024","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Scientific Reports","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2024","jan","11"]],"literal":"2024"},"event-place":"","id":"e9ca153ca6b82bac6081b41174ff055ddropit","interhash":"98f72c4d0f1f55edce1d5a30271c6e1c","intrahash":"e9ca153ca6b82bac6081b41174ff055d","issue":"1","issued":{"date-parts":[["2024","jan","11"]],"literal":"2024"},"keyword":"","misc":{"issn":"2045-2322","doi":"10.1038/s41598-024-51382-3"},"note":"","number":"1","page":"1102","page-first":"1102","publisher":"","publisher-place":"","status":"","title":"Thermocapillary central lamella recess during droplet impacts onto a heated wall","type":"article-journal","username":"dropit","version":"","volume":"14"},"8e3f92cfda7d1c677180fc771c3934c7dropit":{"DOI":"10.1063/5.0179716","ISBN":"","ISSN":"1089-7666","URL":"http://dx.doi.org/10.1063/5.0179716","abstract":"","annote":"","author":[{"family":"Geppert","given":"A. 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While both methods rely on a HHO formulation of the viscous term, the pressure-velocity coupling is fundamentally different, up to the point that the two approaches can be considered antithetical. The first method is kinetic energy preserving, meaning that the skew-symmetric discretization of the convective term is guaranteed not to alter the kinetic energy balance. The approximated velocity fields exactly satisfy the divergence free constraint and continuity of the normal component of the velocity is weakly enforced on the mesh skeleton, leading to H-div conformity. The second scheme relies on Godunov fluxes for pressure-velocity coupling: a Harten, Lax and van Leer approximated Riemann Solver designed for cell centered formulations is adapted to hybrid face centered formulations. The resulting numerical scheme is robust up to the inviscid limit, meaning that it can be applied for seeking approximate solutions of the incompressible Euler equations. The schemes are numerically validated performing steady and unsteady two dimensional test cases and evaluating the convergence rates on h-refined mesh sequences. In addition to standard benchmark flow problems, specifically conceived test cases are conducted for studying the error behaviour when approaching the inviscid limit.","annote":"","author":[{"family":"Botti","given":"Lorenzo"},{"family":"Massa","given":"Francesco Carlo"}],"citation-label":"Botti2022","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Journal of Scientific Computing","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2022","jun","14"]],"literal":"2022"},"event-place":"","id":"39b4c0ac6807fafdcfc0759bda1b52ffdropit","interhash":"7693d92666f88aa6a7e69aac30360d09","intrahash":"39b4c0ac6807fafdcfc0759bda1b52ff","issue":"1","issued":{"date-parts":[["2022","jun","14"]],"literal":"2022"},"keyword":"","misc":{"issn":"1573-7691","doi":"10.1007/s10915-022-01864-1"},"note":"","number":"1","page":"28","page-first":"28","publisher":"","publisher-place":"","status":"","title":"HHO Methods for the Incompressible Navier-Stokes and 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