@misc{HegeHoellererStalling1993, author = {Hege, Hans-Christian and H{\"o}llerer, Tobias and Stalling, Detlev}, title = {Volume Rendering - Mathematicals Models and Algorithmic Aspects.}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4994}, number = {TR-93-07}, year = {1993}, abstract = {In this paper various algorithms for rendering gaseous phenomena are reviewed. In computer graphics such algorithms are used to model natural scenes containing clouds, fog, flames and so on. On the other hand it has become an important technique in scientific visualization to display three dimensional scalar datasets as cloudy objects. Our emphasis is on this latter subject of so-called {\em direct volume rendering}. All algorithms will be discussed within the framework of linear transport theory. The equation of transfer is derived. This equation is suitable to describe the radiation field in a participating medium where absorption, emission, and scattering of light can occur. Almost all volume rendering algorithms can be shown to solve special cases of the equation of transfer. Related problems like the mapping from data values to model parameters or possible parallelization strategies will be discussed as well.}, language = {en} } @misc{HegePolthier1997, author = {Hege, Hans-Christian and Polthier, Konrad}, title = {Visualization and Mathematics '97}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-5480}, number = {TR-97-06}, year = {1997}, abstract = {This report contains paper abstracts of the workshop "Visualization and Mathematics" held in Berlin-Dahlem in September 1997. The meeting serves as a forum for an international community of researchers and practitioners on the application of visualization techniques in mathematics and on mathematical concepts in visualization. It is the second symposium in a series of workshops bringing together mathematicians and experts from scientific visualization. The themes of the workshop include: \begin{itemize} \item - applications in differential geometry and partial differential equations \item - algorithmic aspects of adaptive and hierarchical techniques in space and time \item - time control of animated objects and corresponding algorithms \item - algorithmic representation of objects for display, storage and exchange \item - new visualization techniques for mathematical structures \item - integration of visualization with symbolic and numerical computation. \end{itemize}}, language = {en} } @misc{HegePolthier1995, author = {Hege, Hans-Christian and Polthier, Konrad}, title = {Visualization and Mathematics. International Workshop}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-5179}, number = {TR-95-02}, year = {1995}, abstract = {International Workshop with support of the Deutsche Forschungsgemeinschaft (DFG) and Max-Planck-Gesellschaft (MPG) Berlin (Dahlem), Germany, May 30 - June 2, 1995}, language = {en} } @misc{Hege1990, author = {Hege, Hans-Christian}, title = {Datenabh{\"a}ngigkeitsanalyse und Programmtransformationen auf CRAY-Rechnern mit dem Fortran-Pr{\"a}prozessor fpp}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4685}, number = {TR-90-04}, year = {1990}, abstract = {The FORTRAN preprocessor fpp in the newly introduced Autotasking System of CRAY Research allows automatic vectorization and parallelization on basis of a data dependence analysis. An introduction into data dependence analysis is given, showing how data dependence graphs unveil opportunities for program transformations like vectorization and concurrentization. The report contains a complete description of the preprocessors functionality, its options and directives for increasing the effectiveness of the dependence analyzer and steering the code transformations. Finally, some advice is given for the practical use of fpp on CRAY computers.}, language = {de} } @misc{BengerHegeHeusler2000, author = {Benger, Werner and Hege, Hans-Christian and Heusler, Stefan}, title = {Visions of Numerical Relativity 1999}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4429}, number = {SC-99-53}, year = {2000}, abstract = {We present visualizations of recent supercomputer simulations from numerical relativity, exploiting the progress in visualization techniques and numerical methods also from an artistic point of view. The sequences have been compiled into a video tape, showing colliding black holes, orbiting and merging neutron stars as well as collapsing gravitational waves. In this paper we give some background information and provide a glance at the presented sequences.}, language = {en} } @misc{ZoecklerStallingHege1999, author = {Z{\"o}ckler, Malte and Stalling, Detlev and Hege, Hans-Christian}, title = {Fast and Intuitive Generation of Geometric Shape Transitions}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4219}, number = {SC-99-33}, year = {1999}, abstract = {We describe a novel method for continuously transforming two triangulated models of arbitrary topology into each other. Equal global topology for both objects is assumed, extensions for genus changes during metamorphosis are provided. The proposed method addresses the major challenge in 3D metamorphosis, namely specifying the morphing process intuitively, with minimal user interaction and sufficient detail. Corresponding regions and point features are interactively identified. These regions are parametrized automatically and consistently, providing a basis for smooth interpolation. Utilizing suitable 3D interaction techniques a simple and intuitive control over the whole morphing process is offered.}, language = {en} } @misc{SchmidtEhrenbergHege1999, author = {Schmidt-Ehrenberg, Johannes and Hege, Hans-Christian}, title = {Visualizing Quantum Mechanical Phenomena}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4287}, number = {SC-99-39}, year = {1999}, abstract = {In this paper we discuss several ways to visualize stationary and non-stationary quantum mechanical systems. We demonstrate an approach for the quantitative interpretation of probability density isovalues which yields a reasonable correlation between isosurfaces for different timesteps. As an intuitive quantity for visualizing the momentum of a quantum system we propose the probability flow density which can be treated by vector field visualization techniques. Finally, we discuss the visualization of non-stationary systems by a sequence of single timestep images.}, language = {en} } @misc{BengerHegeMerzkyetal.1999, author = {Benger, Werner and Hege, Hans-Christian and Merzky, Andre and Radke, Thomas and Seidel, Edward}, title = {Efficient Distributed File I/O for Visualization in Grid Environments}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4326}, number = {SC-99-43}, year = {1999}, abstract = {Large scale simulations running in metacomputing environments face the problem of efficient file I/O. For efficiency it is desirable to write data locally, distributed across the computing environment, and then to minimize data transfer, i.e.\ reduce remote file access. Both aspects require I/O approaches which differ from existing paradigms. For the data output of distributed simulations, one wants to use fast local parallel I/O for all participating nodes, producing a single distributed logical file, while keeping changes to the simulation code as small as possible. For reading the data file as in postprocessing and file based visualization, one wants to have efficient partial access to remote and distributed files, using a global naming scheme and efficient data caching, and again keeping the changes to the postprocessing code small. However, all available software solutions require the entire data to be staged locally (involving possible data recombination and conversion), or suffer from the performance problems of remote or distributed file systems. In this paper we show how to interface the HDF5 I/O library via its flexible Virtual File Driver layer to the Globus Data Grid. We show, that combining these two toolkits in a suitable way provides us with a new I/O framework, which allows efficient, secure, distributed and parallel file I/O in a metacomputing environment.}, language = {en} } @misc{HegeStalling1998, author = {Hege, Hans-Christian and Stalling, Detlev}, title = {Fast LIC with Higher Order Filter Kernels}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3439}, number = {SC-97-74}, year = {1998}, abstract = {Line integral convolution (LIC) has become a well-known and popular method for visualizing vector fields. The method works by convolving a random input texture along the integral curves of the vector field. In order to accelerate image synthesis significantly, an efficient algorithm has been proposed that utilizes pixel coherence in field line direction. This algorithm, called ``fast LIC'', originally was restricted to simple box-type filter kernels. Here we describe a generalization of fast LIC for piecewise polynomial filter kernels. Expanding the filter kernels in terms of truncated power functions allows us to exploit a certain convolution theorem. The convolution integral is expressed as a linear combination of repeated integrals (or repeated sums in the discrete case). Compared to the original algorithm the additional expense for using higher order filter kernels, e.g.\ of B-spline type, is very low. Such filter kernels produce smoother, less noisier results than a box filter. This is evident from visual investigation, as well as from analysis of pixel correlations. Thus, our method represents a useful extension of the fast LIC algorithm for the creation of high-quality LIC images.}, language = {en} } @misc{SchmidtEhrenbergHege2004, author = {Schmidt-Ehrenberg, Johannes and Hege, Hans-Christian}, title = {Visual Analysis of Molecular Conformations by Means of a Dynamic Density Mixture Model}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8361}, number = {05-02}, year = {2004}, abstract = {We propose an approach for transforming the sampling of a molecular conformation distribution into an analytical model based on Hidden Markov Models. The model describes the sampled shape density as a mixture of multivariate unimodal densities. Thus, it delivers an interpretation of the sampled density as a set of typical shapes that appear with different probabilities and are characterized by their geometry, their variability and transition probabilities between the shapes. The gained model is used to identify atom groups of constant shape that are connected by metastable torsion angles. Based on this description an alignment for the original sampling is computed. As it takes into account the different shapes contained in the sampled set, this alignment allows to compute reasonable average shapes and meaningful shape density plots. Furthermore, it enables us to visualize typical conformations.}, language = {en} }