SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Simplifying surfaces with color and texture using quadric error metrics
Proceedings of the conference on Visualization '98
Progressive tetrahedralizations
Proceedings of the conference on Visualization '98
Computing contour trees in all dimensions
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Simplification of Tetrahedral meshes with accurate error evaluation
Proceedings of the conference on Visualization '00
Topology preserving and controlled topology simplifying multiresolution isosurface extraction
Proceedings of the conference on Visualization '00
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)
Applications of Forman's Discrete Morse Theory to Topology Visualization and Mesh Compression
IEEE Transactions on Visualization and Computer Graphics
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)
A Topological Approach to Simplification of Three-Dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics)
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Morphology analysis of 3D scalar fields based on morse theory and discrete distortion
Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Tree-Based Encoding for Cancellations on Morse Complexes
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Algorithms and theory of computation handbook
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
SMI 2012: Short Dimension-independent multi-resolution Morse complexes
Computers and Graphics
Extraction of Dominant Extremal Structures in Volumetric Data Using Separatrix Persistence
Computer Graphics Forum
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The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar function, and critical points paired by the complex identify topological features and their importance. We present an algorithm that constructs the Morse-Smale complex in a series of sweeps through the data, identifying various components of the complex in a consistent manner. All components of the complex, both geometric and topological, are computed, providing a complete decomposition of the domain. Efficiency is maintained by representing the geometry of the complex in terms of point sets.