Spot noise texture synthesis for data visualization
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Solution of nonlinear diffusion appearing in image smoothing and edge detection
Applied Numerical Mathematics
Fast and resolution independent line integral convolution
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Proceedings of the 7th conference on Visualization '96
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
Anisotropic nonlinear diffusion in flow visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Fast Display of Illuminated Field Lines
IEEE Transactions on Visualization and Computer Graphics
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
Flow Visualization with Surface Particles
IEEE Computer Graphics and Applications
Enhanced Spot Noise for Vector Field Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualizing flow over curvilinear grid surfaces using line integral convolution
VIS '94 Proceedings of the conference on Visualization '94
Visualizing 3D velocity fields near contour surfaces
VIS '94 Proceedings of the conference on Visualization '94
Vortex tracking in scale-space
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Journal of Computational Physics
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Visualization of Vector Fields Using Seed LIC and Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
Flow Field Clustering via Algebraic Multigrid
VIS '04 Proceedings of the conference on Visualization '04
Volume Refinement Fairing Isosurfaces
VIS '04 Proceedings of the conference on Visualization '04
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Texture-Based Framework for Spacetime-Coherent Visualization of Time-Dependent Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Proceedings of the 2006 ACM symposium on Solid and physical modeling
High-Quality and Interactive Animations of 3D Time-Varying Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Medial axis extraction and shape manipulation of solid objects using parabolic PDEs
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
A simple embedding method for solving partial differential equations on surfaces
Journal of Computational Physics
Technical Section: Generalized reaction-diffusion textures
Computers and Graphics
Data-driven curvature for real-time line drawing of dynamic scenes
ACM Transactions on Graphics (TOG)
A novel PDE based image restoration: Convection-diffusion equation for image denoising
Journal of Computational and Applied Mathematics
SIAM Journal on Imaging Sciences
Vector-valued image regularization with PDE's: a common framework for different applications
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum
Multi-layer illustrative dense flow visualization
Computer Graphics Forum
Nonlinear diffusion in graphics hardware
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Segmentation of flow fields using pattern matching
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Visual coherence for large-scale line-plot visualizations
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Journal of Computational Physics
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Vector field visualization is an important topic in scientific visualization. Its aim is to graphically represent field data on two and three-dimensional domains and on surfaces in an intuitively understandable way. Here, a new approach based on anisotropic nonlinear diffusion is introduced. It enables an easy perception of vector field data and serves as an appropriate scale space method for the visualization of complicated flow pattern. The approach is closely related to nonlinear diffusion methods in image analysis where images are smoothed while still retaining and enhancing edges. Here, an initial noisy image intensity is smoothed along integral lines, whereas the image is sharpened in the orthogonal direction. The method is based on a continuous model and requires the solution of a parabolic PDE problem. It is discretized only in the final implementational step. Therefore, many important qualitative aspects can already be discussed on a continuous level. Applications are shown for flow fields in 2D and 3D, as well as for principal directions of curvature on general triangulated surfaces. Furthermore, the provisions for flow segmentation are outlined.