Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics (TOG)
VIS '97 Proceedings of the 8th conference on Visualization '97
A feature-based approach for smooth surfaces
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Contour trees and small seed sets for isosurface traversal
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
High quality rendering of attributed volume data
Proceedings of the conference on Visualization '98
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Two-level volume rendering — fusing MIP and DVR
Proceedings of the conference on Visualization '00
A rendering algorithm for visualizing 3D scalar fields
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Exploring scalar fields using critical isovalues
Proceedings of the conference on Visualization '02
Topological Zone Organization of Scalar Volume Data
Journal of Mathematical Imaging and Vision
Optical Models for Direct Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Automatic Isosurface Propagation Using an Extrema Graph and Sorted Boundary Cell Lists
IEEE Transactions on Visualization and Computer Graphics
Multidimensional Transfer Functions for Interactive Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Volume Data Mining Using 3D Field Topology Analysis
IEEE Computer Graphics and Applications
Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Interaction Techniques and Vessel Analysis for Preoperative Planning in Liver Surgery
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Path seeds and flexible isosurfaces using topology for exploratory visualization
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Detecting critical regions in scalar fields
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Morse-smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
Topological Volume Skeletonization Using Adaptive Tetrahedralization
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
Parallel Computation of the Topology of Level Sets
Algorithmica
Topological manipulation of isosurfaces
Topological manipulation of isosurfaces
Simplifying Flexible Isosurfaces Using Local Geometric Measures
VIS '04 Proceedings of the conference on Visualization '04
An Intelligent System Approach to Higher-Dimensional Classification of Volume Data
IEEE Transactions on Visualization and Computer Graphics
High-Quality Two-Level Volume Rendering of Segmented Data Sets on Consumer Graphics Hardware
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Artifacts Caused by Simplicial Subdivision
IEEE Transactions on Visualization and Computer Graphics
Real-time Volume Graphics
Hybrid techniques for real-time radar simulation
AFIPS '63 (Fall) Proceedings of the November 12-14, 1963, fall joint computer conference
IEEE Transactions on Visualization and Computer Graphics
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
Introducing topological attributes for objective-based visualization of simulated datasets
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
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
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Efficient algorithms for computing Reeb graphs
Computational Geometry: Theory and Applications
Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
Computational Geometry: Theory and Applications
Data, information, and knowledge in visualization
IEEE Computer Graphics and Applications - Special issue title on generating 3D building models a VR playground for teaching math
Tagged volume rendering of the heart
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Constructing Reeb graphs using cylinder maps
Proceedings of the twenty-sixth annual symposium on Computational geometry
On the search of optimal reconstruction resolution
Pattern Recognition Letters
Automating Transfer Function Design with Valley Cell-Based Clustering of 2D Density Plots
Computer Graphics Forum
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
Topological landscape ensembles for visualization of scalar-valued functions
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Topology exploration with hierarchical landscapes
Proceedings of the Workshop at SIGGRAPH Asia
Geometry-preserving topological landscapes
Proceedings of the Workshop at SIGGRAPH Asia
Technical Section: Topological saliency
Computers and Graphics
Towards multifield scalar topology based on pareto optimality
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
dPSO-vis: topology-based visualization of discrete particle swarm optimization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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Topology provides a foundation for the development of mathematically sound tools for processing and exploration of scalar fields. Existing topology-based methods can be used to identify interesting features in volumetric data sets, to find seed sets for accelerated isosurface extraction, or to treat individual connected components as distinct entities for isosurfacing or interval volume rendering. We describe a framework for direct volume rendering based on segmenting a volume into regions of equivalent contour topology and applying separate transfer functions to each region. Each region corresponds to a branch of a hierarchical contour tree decomposition, and a separate transfer function can be defined for it. The novel contributions of our work are 1) a volume rendering framework and interface where a unique transfer function can be assigned to each subvolume corresponding to a branch of the contour tree, 2) a runtime method for adjusting data values to reflect contour tree simplifications, 3) an efficient way of mapping a spatial location into the contour tree to determine the applicable transfer function, and 4) an algorithm for hardware-accelerated direct volume rendering that visualizes the contour tree-based segmentation at interactive frame rates using graphics processing units (GPUs) that support loops and conditional branches in fragment programs.