Simplifying Flexible Isosurfaces Using Local Geometric Measures
VIS '04 Proceedings of the conference on Visualization '04
A Topological Approach to Simplification of Three-Dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Topology-Controlled Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Topological Landscapes: A Terrain Metaphor for Scientific Data
IEEE Transactions on Visualization and Computer Graphics
Topologically Clean Distance Fields
IEEE Transactions on Visualization and Computer Graphics
Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
Computational Geometry: Theory and Applications
T-map: a topological approach to visual exploration of time-varying volume data
ISHPC'05/ALPS'06 Proceedings of the 6th international symposium on high-performance computing and 1st international conference on Advanced low power systems
Tessellation of quadratic elements
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
On the search of optimal reconstruction resolution
Pattern Recognition Letters
Multiresolution interval volume meshes
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Introducing topological attributes for objective-based visualization of simulated datasets
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Technical Section: Topological saliency
Computers and Graphics
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Topological volume skeletons represent level-set graphsof 3D scalar fields, and have recently become crucial tovisualizing the global isosurface transitions in the volume.However, it is still a time-consuming task to extract themespecially when input volumes are large-scale data and/orprone to small-amplitude noise. This paper presents an efficientmethod for accelerating the computation of such skeletonsusing adaptive tetrahedralization. The present tetrahedralizationis a top-down approach to linear interpolationof the scalar fields in that it selects tetrahedra to be subdividedadaptively using several criteria. As the criteria, themethod employs a topological criterion as well as a geometricone in order to pursue all the topological isosurfacetransitions that may contribute to the global skeleton of thevolume. The tetrahedralization also allows us to avoid unnecessarytracking of minor degenerate features that hidethe global skeleton. Experimental results are included todemonstrate that the present method smoothes out the originalscalar fields effectively without missing any significanttopological features.