Spot noise texture synthesis for data visualization
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Direct volume visualization of three-dimensional vector fields
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Fast and resolution independent line integral convolution
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Visualizing vector fields using line integral convolution and dye advection
Proceedings of the 1996 symposium on Volume visualization
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
VIS '97 Proceedings of the 8th conference on Visualization '97
UFLIC: a line integral convolution algorithm for visualizing unsteady flows
VIS '97 Proceedings of the 8th conference on Visualization '97
Strategies for effectively visualizing 3D flow with volume LIC
VIS '97 Proceedings of the 8th conference on Visualization '97
Fast line integral convolution for arbitrary surfaces in 3D
Visualization and mathematics
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Construction of vector field hierarchies
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Simplified representation of vector fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Interactive exploration of volume line integral convolution based on 3D-texture mapping
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A level-set method for flow visualization
Proceedings of the conference on Visualization '00
Topology preserving compression of 2D vector fields
Proceedings of the conference on Visualization '00
A continuous clustering method for vector fields
Proceedings of the conference on Visualization '00
A topology simplification method for 2D vector fields
Proceedings of the conference on Visualization '00
A flow-guided streamline seeding strategy
Proceedings of the conference on Visualization '00
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
IEEE Transactions on Visualization and Computer Graphics
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '93 Proceedings of the 4th conference on Visualization '93
Texture splats for 3D scalar and vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualizing 3D velocity fields near contour surfaces
VIS '94 Proceedings of the conference on Visualization '94
Combining Topological Simplification and Topology Preserving Compression for 2D Vector Fields
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
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
Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields
VIS '04 Proceedings of the conference on Visualization '04
Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines
IEEE Transactions on Visualization and Computer Graphics
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Boundary switch connectors for topological visualization of complex 3D vector fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Path line oriented topology for periodic 2D time-dependent vector fields
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
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In this paper, we propose a technique for topology-preserving smoothing of sampled vector fields. The vector field data is first converted into a scalar representation in which time surfaces implicitly exist as level-sets. We then locally analyze the dynamic behavior of level-sets by placing geometric primitives in the scalar field and by subsequently distorting these primitives with respect to local variations in this field. From the distorted primitives, we calculate the curvature normal and we use the normal magnitude and its direction to separate distinct flow features. Geometrical and topological considerations are then combined to successively smooth dense flow fields, at the same time retaining their topological structure.