Modeling visual attention via selective tuning
Artificial Intelligence - Special volume on computer vision
A Model of Saliency-Based Visual Attention for Rapid Scene Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometry and topology for mesh generation
Geometry and topology for mesh generation
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
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
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
Affine-Invariant Skeleton of 3D Shapes
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Topological quadrangulations of closed triangulated surfaces using the Reeb graph
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
An evaluation of reconstruction filters for volume rendering
VIS '94 Proceedings of the conference on Visualization '94
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)
Loops in Reeb Graphs of 2-Manifolds
Discrete & Computational Geometry
Simplifying Flexible Isosurfaces Using Local Geometric Measures
VIS '04 Proceedings of the conference on Visualization '04
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2005 Papers
A Topological Approach to Simplification of Three-Dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Extreme Elevation on a 2-Manifold
Discrete & Computational Geometry
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
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Computational Geometry: Theory and Applications
A Practical Approach to Morse-Smale Complex Computation: Scalability and Generality
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields
IEEE Transactions on Visualization and Computer Graphics
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
Diffusion runs low on persistence fast
ICCV '11 Proceedings of the 2011 International Conference on Computer Vision
Parallel Computation of 2D Morse-Smale Complexes
IEEE Transactions on Visualization and Computer Graphics
Topological landscape ensembles for visualization of scalar-valued functions
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
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Topological methods have been successfully used to identify features in scalar fields and to measure their importance. In this paper, we define a notion of topological saliency that captures the relative importance of a topological feature with respect to other features in its local neighborhood. Features are identified by extreme points of an input scalar field, and their importance measured by the so-called topological persistence. Computing the topological saliency of all features for varying neighborhood sizes results in a saliency plot that serves as a summary of relative importance of all topological features. We develop a convenient tool for users to interactively select and inspect features using the saliency plot. We demonstrate the use of topological saliency together with the rich information encoded in the saliency plot in several applications, including key feature identification, scalar field simplification, and feature clustering.