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28 February 2000 Topology-based methods for quantitative comparisons of vector fields
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Proceedings Volume 3960, Visual Data Exploration and Analysis VII; (2000)
Event: Electronic Imaging, 2000, San Jose, CA, United States
Computers have enabled the generation and acquisition of large vector and tensor data-sets. Reynolds numbers, and in data acquisition producing large data-set such as weather and ocean current databases. However, techniques for automated searching and comparison of large vector and tensor data-sets have been lacking. Many of the techniques are based on visual comparisons which do not have the quantitative rigor required for automated comparisons. Other methods which use data based comparisons require a common domain, grid alignment, and interpolation often making data- sets acquired from different sources difficult to compare. This paper provides comparison methods that are based on the topology of the vector field. These methods can be used for both 2D and 3D fields, and depending upon the complexity of the field, different levels of comparisons can be utilized to reduce search times. Topology based methods have the added benefits of describing a field that is independent of the grid, and that is based solely on topological components which have a significant compression over the original field.
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Rajesh Batra, Kerstin Kling, and Lambertus Hesselink "Topology-based methods for quantitative comparisons of vector fields", Proc. SPIE 3960, Visual Data Exploration and Analysis VII, (28 February 2000);

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