SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Topological Morphing Using Reeb Graphs
CW '02 Proceedings of the First International Symposium on Cyber Worlds (CW'02)
A New Paradigm for Changing Topology during Subdivision Modeling
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Explicit Control of Topological Transitions in Morphing Shapes of 3D Meshes
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Time-varying reeb graphs for continuous space-time data
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Loops in Reeb Graphs of 2-Manifolds
Discrete & Computational Geometry
Implementing time-varying contour trees
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
IEEE Transactions on Visualization and Computer Graphics
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We have implemented an interactive tool to reconstruct time varying geometric representations from given Hyper Reeb Graph (HRG) structures reflecting the topological behavior of the underlying data. Objects possessing the topology of a specified Reeb Graph structure are generated from a set of modules. Modifications of a RG over time induce topological changes concerning the structure of the geometric representation. Our main focus points toward the problem of finding appropriate parameterizations leading to smooth transitions over time and visualizing the topological changes using time-varying 3D meshes representing the underlying HRG structure. We highlight the problems and challenges associated to this topic.