Many computational modeling pipelines for geometry processing and visualization focus on topologically and geometrically accurate shape reconstruction of “primal” space, meaning the surface of interest and the volum...
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In this paper we apply vector field topology methods to a mathematical model for the fluid dynamics of reaggregation processes in tissue engineering. The experimental background are dispersed embryonic retinal cells, ...
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ISBN:
(纸本)9783642150135
In this paper we apply vector field topology methods to a mathematical model for the fluid dynamics of reaggregation processes in tissue engineering. The experimental background are dispersed embryonic retinal cells, which re-aggregate in a rotation culture on a gyratory shaker, according to defined rotation and culture conditions. Under optimal conditions, finally complex 3D spheres result. In order to optimize high throughput drug testing systems of biological cell and tissue models, a major aim is to understand the role which the fluid dynamics plays in this process. To allow for a mathematical analysis, an experimental model system was set up, using micro-beads instead of spheres within the culture dish. The qualitative behavior of this artificial model was monitored in time by using a camera. For this experimental setup a mathematical model for the bead-fluid dynamics was derived, analyzed and simulated. The simulations showed that the beads form distinctive clusters in a layer close to the bottom of the petri dish. To analyze these patterns further, we perform a topologicalanalysis of the velocity field within this layer of the fluid. We find that traditional two-dimensional visualization techniques like path lines, streak lines and current time-dependent topology approaches are not able to answer the posed questions, for example they do not allow to find the location of clusters. We discuss the problems of these techniques and develop a new approach that measures the density of advected particles in the flow to find the moving point of particle aggregation. Using the density field the path of the moving aggregation point is extracted.
Tracking features and exploring their temporal dynamics can aid scientists in identifying interesting time intervals in a simulation and serve as basis for performing quantitative analyses of temporal phenomena. In th...
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ISBN:
(纸本)9783642150135
Tracking features and exploring their temporal dynamics can aid scientists in identifying interesting time intervals in a simulation and serve as basis for performing quantitative analyses of temporal phenomena. In this paper, we develop a novel approach for tracking subsets of isosurfaces, such as burning regions in simulated flames, which are defined as areas of high fuel consumption on a temperature isosurface. Tracking such regions as they merge and split over time can provide important insights into the impact of turbulence on the combustion process. However, the convoluted nature of the temperature isosurface and its rapid movement make this analysis particularly challenging. Our approach tracks burning regions by extracting a temperature isovolume from the four-dimensional space-time temperature field. It then obtains isosurfaces for the original simulation time steps and labels individual connected "burning" regions based on the local fuel consumption value. Based on this information, a boundary surface between burning and non-burning regions is constructed. The Reeb graph of this boundary surface is the tracking graph for burning regions.
Ascending and descending Morse complexes, defined by a scalar function f over a manifold domain M, decompose M into regions of influence of the critical points of f, thus representing the morphology of the scalar func...
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There has been considerable interest in applying social network analysismethods to geographically embedded networks such as population migration and international trade. However, research is hampered by a lack of sup...
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As supercomputers grow ever larger, so too do application run times and data requirements. The operational patterns of modern parallel I/O systems are far too complex to allow for a direct analysis of their trace logs...
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this paper discusses the key issues of dynamic decision model and visualization technology of enterprise human resource management visualization and dynamic decision support system, based on the analysis of developmen...
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This paper discusses the key issues of dynamic decision model and visualization technology of enterprise human resource management visualization and dynamic decision support system, based on the analysis of developmen...
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This paper discusses the key issues of dynamic decision model and visualization technology of enterprise human resource management visualization and dynamic decision support system, based on the analysis of development trend and system objective of human resource management information system. And then gives a design method of this system based on B/S structure , according to the status of an enterprise in China. In this system, models mainly are built by dynamic decision and other mathematical methods, and visualization is completed by the technology of dimension of stratified. This system not only has a good forecast precision but also has a good effect by using the actual data in fact.
The visualization community is currently witnessing strong advances in topology-based flow visualization research. Numerous algorithms have been proposed since the introduction of this class of approaches in 1989. Yet...
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ISBN:
(纸本)9783540886051
The visualization community is currently witnessing strong advances in topology-based flow visualization research. Numerous algorithms have been proposed since the introduction of this class of approaches in 1989. Yet despite the many advances in the field, topology-based flow visualizationmethods have, until now, failed to penetrate industry. Application domain experts are still, in general, not using topologicalanalysis and visualization in daily practice. We present a range of state-of-the art topology-based flow visualizationmethods such as vortex core line extraction, singularity and separatrix extraction, and periodic orbit extraction techniques, and apply them to real-world data sets. Applications include the visualization of engine simulation data such as in-cylinder flow, cooling jacket flow, as well as flow around a spinning missile. The novel application of periodic orbit extraction to the boundary surface of a cooling jacket is presented. Based on our experiences, we then describe what we believe needs to be done in order to bring topological flow visualizationmethods to industry-level software applications. We believe this discussion will inspire useful directions for future work.
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