Topology preserving compression of 2D vector fields
Proceedings of the conference on Visualization '00
Multi-resolution visualization techniques for nested weather models
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
Topological Segmentation in Three-Dimensional Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Representing Higher-Order Singularities in Vector Fields on Piecewise Linear Surfaces
IEEE Transactions on Visualization and Computer Graphics
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An application of C1 scalar interpolation for 2D vector field topology visualization is presented. Powell-Sabin and Nielson interpolants are considered which both make use of Nielson's Minimum Norm Network for the precomputation of the derivatives in our implementation. A comparison of their results to the commonly used linear interpolant underlines their significant improvement of singularity location and topological skeleton depiction. Evaluation is based upon the processing of polynomial vector fields with known topology containing higher order singularities.