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
Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Trekking in the Alps Without Freezing or Getting Tired
ESA '93 Proceedings of the First Annual European Symposium on Algorithms
Path seeds and flexible isosurfaces using topology for exploratory visualization
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
Tree-Maps: a space-filling approach to the visualization of hierarchical information structures
VIS '91 Proceedings of the 2nd conference on Visualization '91
Simplifying Flexible Isosurfaces Using Local Geometric Measures
VIS '04 Proceedings of the conference on Visualization '04
Voronoi treemaps for the visualization of software metrics
SoftVis '05 Proceedings of the 2005 ACM symposium on Software visualization
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
Applying Manifold Learning to Plotting Approximate Contour Trees
IEEE Transactions on Visualization and Computer Graphics
Least squares quantization in PCM
IEEE Transactions on Information Theory
Comparative Visual Analysis of 2D Function Ensembles
Computer Graphics Forum
Uncertainty-aware exploration of continuous parameter spaces using multivariate prediction
EuroVis'11 Proceedings of the 13th 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
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Visual representation techniques enable perception and exploration of scientific data. Following the topological landscapes metaphor of Weber et al., we provide a new algorithm for visualizing scalar functions defined on simply connected domains of arbitrary dimension. For a potentially high dimensional scalar field, our algorithm produces a collection of, in some sense complete, two-dimensional terrain models whose contour trees and corresponding topological persistences are identical to those of the input scalar field. The algorithm exactly preserves the volume of each region corresponding to an arc in the contour tree. We also introduce an efficiently computable metric on terrain models we generate. Based on this metric, we develop a tool that can help the users to explore the space of possible terrain models.