Research Interests

My research interest focus on geometric modeling and scientific visualization including trivariate splines, vector field compression, surface parameterization, shape editing, shape analysis, remeshing. In the Visal Computing Group we try to bridge the gap between scientific visualization and geometry processing.

Scientific visualization

Our main interest is in understanding and visualizing flow phenomena.

Selected publications

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Between scientific visualization and geometry Processing

We apply geometry processing in the context of scientific visualization: for instance, geometric predicates are used to select representative stream surfaces, flux minimization can be beneficial for stream surface generation, mesh quality is optimized during advancing-front stream surface integration.

Selected publications

J. Martinez Esturo, M. Schulze, C. Rössl, and H. Theisel.
Global selection of stream surfaces.
Computer Graphics Forum (Proc. Eurographics ), 32(2):113-122, 2013.
[BibTeX] [more]

J. Martinez Esturo, M. Schulze, C. Rössl, and H. Theisel.
Poisson-based tools for flow visualization.
In Proc. IEEE PacificVis, 2013.
[BibTeX] [more]

Maik Schulze, Tobias Germer, Christian Rössl, and Holger Theisel.
Stream surface parametrization by flow-orthogonal front lines.
Computer Graphics Forum (Proc. SGP ), 31(5):1725-1734, 2012.
[BibTeX] [more]

Maik Schulze, Christian Rössl, Tobias Germer, and Holger Theisel.
As-perpendicular-as-possible surfaces for flow visualization.
In Proceedings of IEEE PacificVis, Songdo, South Korea, 2012.
[BibTeX] [more]

Trivariate splines

Splines are a well-established and important tool in Computer Aided Geometric Design (CAGD), best known for modeling surfaces. Their application to volumetric domains was only rarely exploited so far. We developed new trivariate spline models for gridded and general volume data. Typical applications are medical imaging and surface reconstruction from scattered points, respectively. An important research aspect is the analysis of the spline spaces w.r.t. approximation and smoothness properties.

Selected publications

Günther Nürnberger, Christian Rössl, Frank Zeilfelder, and Hans-Peter Seidel.
Quasi-interpolation by quadratic piecewise polynomials in three variables.
[BibTeX] [abstract]

Gregor Schlosser, Jürgen Hesser, Frank Zeilfelder, Christian Rössl, Reinhard Männer, Günther Nürnberger, and Hans-Peter Seidel.
Fast visualization by shear-warp on quadratic super-spline models using wavelet data decompositions.
[BibTeX] [more]

Christian Rössl, Frank Zeilfelder, Günther Nürnberger, and Hans-Peter Seidel.
Reconstruction of volume data with quadratic super splines.
[BibTeX] [abstract]

Thomas Hangelbroek, Günther Nürnberger, Christian Rössl, Hans-Peter Seidel, and Frank Zeilfelder.
Dimension of c1-splines on type-6 tetrahedral partitions.
[BibTeX] [abstract]

Christian Rössl, Frank Zeilfelder, Günther Nürnberger, and Hans-Peter Seidel.
Spline approximation of general volumetric data.
[BibTeX] [abstract]

Christian Rössl, Frank Zeilfelder, Günther Nürnberger, and Hans-Peter Seidel.
Visualization of volume data with quadratic super splines.
[BibTeX] [more]

Topology preserving vector field compression

In scientific visualization, the topology of complex flow fields provides an intuitive and compact view of the data. At the same time, typical data sets are huge and require compression in practical applications. We developed new methods for vector field compression which preserve the topology of the input. As a main contribution, it was shown that these methods can rely on local operations only although topology is a global property.

Selected publications

Holger Theisel, Christian Rössl, and Hans-Peter Seidel.
Topology preserving thinning of vector fields on triangular meshes.
[BibTeX] [abstract]

Holger Theisel, Christian Rössl, and Hans-Peter Seidel.
Compression of 2d vector fields under guaranteed topology preservation.
[BibTeX] [abstract]

Holger Theisel, Christian Rössl, and Hans-Peter Seidel.
Combining topological simplification and topology preserving compression for 2d vector fields.
[BibTeX] [abstract]

Surface parametrization

Surface parameterization refers to establishing bijective maps to a parametric domain. This is a basic and essential tool in digital geometry processing with many applications. Existing approaches based on interior angles were improved, and new methods relying on linear setups were developed. The latter improve on map distortion including free evolution of the boundary in the parametric domain.

Selected publications

Rhaleb Zayer, Christian Rössl, and Hans-Peter Seidel.
Discrete tensorial quasi-harmonic maps.
[BibTeX] [abstract]

Rhaleb Zayer, Christian Rössl, and Hans-Peter Seidel.
Setting the boundary free: A composite approach to surface parameterization.
[BibTeX] [abstract]

Rhaleb Zayer, Christian Rössl, and Hans-Peter Seidel.
Variations of angle based flattening.
[BibTeX] [abstract]

Shape editing

Various approaches and tools for shape editing exist in computer graphics. New detail preserving approaches were developed based on linear Laplace and Poisson systems. These methods enable direct shape manipulation, transplanting of surface parts and geometric details transfer to a target shape.

Selected publications

J. Martinez Esturo, C. Rössl, and H. Theisel.
Generalized metric energies for continuous shape deformation.
[BibTeX] [more]

Carsten Stoll, Zachi Karni, Christian Rössl, Hitoshi Yamauchi, and Hans-Peter Seidel.
Template deformation for point cloud fitting.
[BibTeX] [more]

Olga Sorkine, Yaron Lipman, Daniel Cohen-Or, Marc Alexa, Christian Rössl, and Hans-Peter Seidel.
Laplacian surface editing.
[BibTeX] [abstract]

Yaron Lipman, Olga Sorkine, Marc Alexa, Daniel Cohen-Or, David Levin, Christian Rössl, and Hans-Peter Seidel.
Laplacian framework for interactive mesh editing.
[BibTeX] [abstract]

Rhaleb Zayer, Christian Rössl, Zachi Karni, and Hans-Peter Seidel.
Harmonic guidance for surface deformation.
[BibTeX] [abstract]

Shape analysis

Curvature is an essential tool in shape analysis with a variety of applications, however, its mathematical definition is not directly appropriate to discrete settings. A new discrete curvature measure based on individual triangles with position and normal information was proposed and analyzed. Applications include feature detection/segmentation and non-photorealistic rendering.

Selected publications

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Remeshing

Surfaces are often approximated by triangle meshes. Remeshing is concerned with optimizing triangulations w.r.t. certain quality criteria, while approximating the input shape. Approaches to feature-sensitive (isotropic) remeshing were proposed, i.e., sharp edges and corners are detected and preserved. Local parameterizations serve as a basic tool.

Selected publications

Jens Vorsatz, Christian Rössl, Leif Kobbelt, and Hans-Peter Seidel.
Feature sensitive remeshing.
[BibTeX] [abstract]

Jens Vorsatz, Christian Rössl, and Hans-Peter Seidel.
Dynamic remeshing and applications.
[BibTeX] [abstract]

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