The Earth Mover's Distance as a Metric for Image Retrieval
International Journal of Computer Vision
Extreme elevation on a 2-manifold
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Persistence barcodes for shapes
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Interface surfaces for protein-protein complexes
Journal of the ACM (JACM)
Multifield-Graphs: An Approach to Visualizing Correlations in Multifield Scalar Data
IEEE Transactions on Visualization and Computer Graphics
Variable Interactions in Query-Driven Visualization
IEEE Transactions on Visualization and Computer Graphics
Moment Invariants for the Analysis of 2D Flow Fields
IEEE Transactions on Visualization and Computer Graphics
Reeb graphs for shape analysis and applications
Theoretical Computer Science
A genus oblivious approach to cross parameterization
Computer Aided Geometric Design
Technical Section: Computing smooth approximations of scalar functions with constraints
Computers and Graphics
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Approximating gradients for meshes and point clouds via diffusion metric
SGP '09 Proceedings of the Symposium on Geometry Processing
Computing similarity between piecewise-linear functions
Proceedings of the twenty-sixth annual symposium on Computational geometry
Shape comparison through mutual distances of real functions
Proceedings of the ACM workshop on 3D object retrieval
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
A gradient-based comparison measure for visual analysis of multifield data
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
SMI 2013: Grouping real functions defined on 3D surfaces
Computers and Graphics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
| Hi-index | 0.00 |
We introduce local and global comparison measures for a collection of k 驴 d real-valued smooth functions on a common d-dimensional Riemannian manifold. For k = d = 2 we relate the measures to the set of critical points of one function restricted to the level sets of the other. The definition of the measures extends to piecewise linear functions for which they are easy to compute. The computation of the measures forms the centerpiece of a software tool which we use to study scientific datasets.