Vector field analysis and synthesis using three-dimensional phase portraits
Graphical Models and Image Processing
Feature comparisons of vector fields using earth mover's distance
Proceedings of the conference on Visualization '98
Data level comparison of wind tunnel and computational fluid dynamics data
Proceedings of the conference on Visualization '98
The Earth Mover''s Distance as a Metric for Image Retrieval
The Earth Mover''s Distance as a Metric for Image Retrieval
Topology preserving compression of 2D vector fields
Proceedings of the conference on Visualization '00
Topology Preserving Top-Down Compression of 2D Vector Fields Using Bintree and Triangular Quadtrees
IEEE Transactions on Visualization and Computer Graphics
Topology Visualization of the Optical Power Flow through a Novel C-Shaped Nano-Aperture
VIS '04 Proceedings of the conference on Visualization '04
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
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A method for comparing three-dimensional vector fields constructed from simple critical points is described. This method is a natural extension of the previous work [1] which defined a distance metric for comparing two-dimensional fields.The extension to three-dimensions follows the path of our previous work, rethinking the representation of a critical point signature and the distance measure between the points. Since the method relies on topologically based information, problems such as grid matching and vector alignment which often complicate other comparison techniques are avoided. In addition, since only feature information is used to represent, and therefore stored for each field, a significant amount of compression occurs.