@misc{ReininghausKastenWeinkaufetal., author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12151}, number = {11-02}, abstract = {We propose a combinatorial algorithm to track critical points of 2D time-dependent scalar fields. Existing tracking algorithms such as Feature Flow Fields apply numerical schemes utilizing derivatives of the data, which makes them prone to noise and involve a large number of computational parameters. In contrast, our method is robust against noise since it does not require derivatives, interpolation, and numerical integration. Furthermore, we propose an importance measure that combines the spatial persistence of a critical point with its temporal evolution. This leads to a time-aware feature hierarchy, which allows us to discriminate important from spurious features. Our method requires only a single, easy-to-tune computational parameter and is naturally formulated in an out-of-core fashion, which enables the analysis of large data sets. We apply our method to a number of data sets and compare it to the stabilized continuous Feature Flow Field tracking algorithm.}, language = {en} } @article{KastenReininghausHotzetal.2011, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian}, title = {Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude}, series = {IEEE Transactions on Visualization and Computer Graphics}, volume = {17}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {12}, pages = {2080 -- 2087target}, year = {2011}, language = {en} } @article{ReininghausKotavaGuentheretal.2011, author = {Reininghaus, Jan and Kotava, N. and G{\"u}nther, David and Kasten, Jens and Hagen, Hans and Hotz, Ingrid}, title = {A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields}, series = {Visualization and Computer Graphics, IEEE Transactions on}, volume = {17}, journal = {Visualization and Computer Graphics, IEEE Transactions on}, number = {12}, doi = {10.1109/TVCG.2011.159}, pages = {2045 -- 2052}, year = {2011}, language = {en} } @article{GuentherReininghausWagneretal.2011, author = {G{\"u}nther, David and Reininghaus, Jan and Wagner, Hubert and Hotz, Ingrid}, title = {Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory}, series = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, journal = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, publisher = {Kluwer Academic Publishers}, year = {2011}, language = {en} } @inproceedings{BoyerBronsteinBronsteinetal.2011, author = {Boyer, Edmond and Bronstein, Alexander and Bronstein, Michael and Bustos, Benjamin and Darom, Tal and Horaud, Radu and Hotz, Ingrid and Keller, Yosi and Keustermans, Johannes and Kovnatsky, Artiom and Litman, Roee and Reininghaus, Jan and Sipiran, Ivan and Smeets, Dirk and Suetens, Paul and Vandermeulen, Dirk and Zaharescu, Andrei and Zobel, Valentin}, title = {SHREC 2011: robust feature detection and description benchmark}, series = {Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR'11)}, booktitle = {Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR'11)}, publisher = {Eurographics Association}, doi = {10.2312/3DOR/3DOR11/079-088 target}, pages = {71 -- 78}, year = {2011}, language = {en} } @misc{ReininghausHotz2011, author = {Reininghaus, Jan and Hotz, Ingrid}, title = {Combinatorial 2D Vector Field Topology Extraction and Simplification}, series = {Topological Methods in Data Analysis and Visualization}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_9}, pages = {103 -- 114}, year = {2011}, language = {en} } @article{ZobelReininghausHotz2011, author = {Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid}, title = {Generalized Heat Kernel Signature}, series = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, journal = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, pages = {93 -- 100target}, year = {2011}, language = {en} } @article{ReininghausLoewenHotz2011, author = {Reininghaus, Jan and L{\"o}wen, Christian and Hotz, Ingrid}, title = {Fast Combinatorial Vector Field Topology}, series = {IEEE Trans. Computer Graphics and Visualization}, volume = {17}, journal = {IEEE Trans. Computer Graphics and Visualization}, number = {10}, pages = {1433 -- 1443}, year = {2011}, language = {en} } @misc{KratzReininghausHadwigeretal.2011, author = {Kratz, Andrea and Reininghaus, Jan and Hadwiger, Markus and Hotz, Ingrid}, title = {Adaptive Screen-Space Sampling for Volume Ray-Casting}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12446}, number = {11-04}, year = {2011}, abstract = {This work is concerned with adaptive screen-space sampling for volume ray-casting. The goal is to reduce the number of rays being cast into the scene and, thus, the overall number of sampling points. We guarantee reliable images through explicit error control using an error estimator that is founded in the field of finite element methods (FEM). FEM theory further provides a well-founded theory to prove the efficiency of the presented algorithm via convergence analysis. We, therefore, compare the convergence behavior of our method against uniform subdivisions and a refinement scheme that was presented in the context of CPU volume ray-casting. Minimizing the number of sampling points is of interest for rendering large datasets where each evaluation might need an expensive decompression. Furthermore, with increasing screen resolutions high-resolution images are created more efficiently with our method.}, language = {en} }