SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Progressive tetrahedralizations
Proceedings of the conference on Visualization '98
Collapsing flow topology using area metrics
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Molecular shape analysis based upon the morse-smale complex and the connolly function
Proceedings of the nineteenth annual symposium on Computational geometry
Morse-smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
GRIN'01 No description on Graphics interface 2001
Topological Volume Skeletonization Using Adaptive Tetrahedralization
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Simplification of Three-Dimensional Density Maps
IEEE Transactions on Visualization and Computer Graphics
Simplifying Flexible Isosurfaces Using Local Geometric Measures
VIS '04 Proceedings of the conference on Visualization '04
Quadric-based simplification in any dimension
ACM Transactions on Graphics (TOG)
Stability of persistence diagrams
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
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)
Analysis of scalar fields over point cloud data
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Ascending and descending regions of a discrete Morse function
Computational Geometry: Theory and Applications
Reconstructing 3D compact sets
Computational Geometry: Theory and Applications
Simplifying morphological representations of 2D and 3D scalar fields
Proceedings of the 19th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
SMI 2012: Short Dimension-independent multi-resolution Morse complexes
Computers and Graphics
A Quantized Boundary Representation of 2D Flows
Computer Graphics Forum
Parallel Computation of 3D Morse-Smale Complexes
Computer Graphics Forum
Automating Transfer Function Design with Valley Cell-Based Clustering of 2D Density Plots
Computer Graphics Forum
Combining in-situ and in-transit processing to enable extreme-scale scientific analysis
SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
A gradient-based comparison measure for visual analysis of multifield data
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Technical Section: Topological saliency
Computers and Graphics
Hi-index | 0.00 |
This paper describes an efficient combinatorial method for simplification of topological features in a 3D scalar function. The Morse-Smale complex, which provides a succinct representation of a function's associated gradient flow field, is used to identify topological features and their significance. The simplification process, guided by the Morse-Smale complex, proceeds by repeatedly applying two atomic operations that each remove a pair of critical points from the complex. Efficient storage of the complex results in execution of these atomic operations at interactive rates. Visualization of the simplified complex shows that the simplification preserves significant topological features while removing small features and noise.