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Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
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Topological considerations in isosurface generation extended abstract
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Octrees for faster isosurface generation
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CVGIP: Image Understanding
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Multiresolution tetrahedral framework for visualizing regular volume data
VIS '97 Proceedings of the 8th conference on Visualization '97
I/O optimal isosurface extraction (extended abstract)
VIS '97 Proceedings of the 8th conference on Visualization '97
Contour trees and small seed sets for isosurface traversal
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Construction of contour trees in 3D in O(n log n) steps
Proceedings of the fourteenth annual symposium on Computational geometry
Interactive out-of-core isosurface extraction
Proceedings of the conference on Visualization '98
Efficiency of a Good But Not Linear Set Union Algorithm
Journal of the ACM (JACM)
Computing contour trees in all dimensions
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Automatic Isosurface Propagation Using an Extrema Graph and Sorted Boundary Cell Lists
IEEE Transactions on Visualization and Computer Graphics
A Near Optimal Isosurface Extraction Algorithm Using the Span Space
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Multiresolution Representation and Visualization of Volume Data
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Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Interval Set: A Volume Rendering Technique Generalizing Isosurface Extraction
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The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
Efficient computation of the topology of level sets
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Computational Geometry: Theory and Applications - Special issue: The European workshop on computational geometry -- CG01
Loops in reeb graphs of 2-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
Adaptive and quality 3D meshing from imaging data
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Time-varying reeb graphs for continuous space-time data
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Simplifying Flexible Isosurfaces Using Local Geometric Measures
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Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
Implementing time-varying contour trees
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
The Feature Tree: Visualizing Feature Tracking in Distributed AMR Datasets
PVG '03 Proceedings of the 2003 IEEE Symposium on Parallel and Large-Data Visualization and Graphics
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Volume Tracking Using Higher Dimensional Isosurfacing
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Transactions on Visualization and Computer Graphics
Artifacts Caused by Simplicial Subdivision
IEEE Transactions on Visualization and Computer Graphics
I/O-efficient batched union-find and its applications to terrain analysis
Proceedings of the twenty-second annual symposium on Computational geometry
Families of cut-graphs for bordered meshes with arbitrary genus
Graphical Models
Optimal pants decompositions and shortest homotopic cycles on an orientable surface
Journal of the ACM (JACM)
Topology-Controlled Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Robust on-line computation of Reeb graphs: simplicity and speed
ACM SIGGRAPH 2007 papers
Topological Landscapes: A Terrain Metaphor for Scientific Data
IEEE Transactions on Visualization and Computer Graphics
Reeb graphs for shape analysis and applications
Theoretical Computer Science
I/o-efficient efficient algorithms for computing contours on a terrain
Proceedings of the twenty-fourth annual symposium on Computational geometry
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Time-varying Reeb graphs for continuous space--time data
Computational Geometry: Theory and Applications
Topology Preserving Tetrahedral Decomposition of Trilinear Cell
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Efficient algorithms for computing Reeb graphs
Computational Geometry: Theory and Applications
3D Edge Detection by Selection of Level Surface Patches
Journal of Mathematical Imaging and Vision
SG '09 Proceedings of the 10th International Symposium on Smart Graphics
Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
Computational Geometry: Theory and Applications
Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
I/O-Efficient Contour Tree Simplification
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
A randomized O(m log m) time algorithm for computing Reeb graphs of arbitrary simplicial complexes
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I/O-efficient batched union-find and its applications to terrain analysis
ACM Transactions on Algorithms (TALG)
Algorithms and theory of computation handbook
Fitting spheres to electron density
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Concurrent computation of differential morphological profiles on giga-pixel images
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Adjustment for discrepancies between ALS data strips using a contour tree algorithm
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
History trees as descriptors of macromolecular structures
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
I/O-efficient contour queries on terrains
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Description of digital images by region-based contour trees
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Automatic cross-sectioning based on topological volume skeletonization
SG'05 Proceedings of the 5th international conference on Smart Graphics
Tessellation of quadratic elements
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
A deterministic o(m log m) time algorithm for the reeb graph
Proceedings of the twenty-eighth annual symposium on Computational geometry
Visualization and multivariate clustering of scattered moment tensors
Information Visualization - Special issue on Visualization and Data Analysis 2011
Tree representation of digital picture embeddings
Journal of Visual Communication and Image Representation
Focus+Context rendering of structured biomedical data
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
Flexible and topologically localized segmentation
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Efficient isosurface tracking using precomputed correspondence table
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Flooding countries and destroying dams
WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
Topological landscape ensembles for visualization of scalar-valued functions
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Topology-based visualization of transformation pathways in complex chemical systems
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Topology exploration with hierarchical landscapes
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Scalar field visualization via extraction of symmetric structures
The Visual Computer: International Journal of Computer Graphics
Technical Section: Topological saliency
Computers and Graphics
Evaluating isosurfaces with level-set-based information maps
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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We show that contour trees can be computed in all dimensions by a simple algorithm that merges two trees. Our algorithm extends, simplifies, and improves work of Tarasov and Vyalyi and of van Kreveld et al.