Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
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
Tensorlines: advection-diffusion based propagation through diffusion tensor fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Anisotropic nonlinear diffusion in flow visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
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
Visualizing 3D velocity fields near contour surfaces
VIS '94 Proceedings of the conference on Visualization '94
Accelerated Unsteady Flow Line Integral Convolution
IEEE Transactions on Visualization and Computer Graphics
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
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The visualization of time-dependent flow is an important and challenging topic in scientific visualization. Its aim is to represent transport phenomena governed by time-dependent vector fields in an intuitively understandable way, using images and animations. Here we pick up the recently presented anisotropic diffusion method, expand and generalize it to allow a multiscale visualization of longtime, complex transport problems. Instead of streamline type patterns generated by the original method now streakline patterns are generated and advected. This process obeys a nonlinear transport diffusion equation with typically dominant transport. Starting from some noisy initial image, the diffusion actually generates and enhances patterns which are then transported in the direction of the flow field. Simultaneously the image is again sharpened in the direction orthogonal to the flow field. A careful adjustment of the modelś parameters is derived to balance diffusion and transport effects in a reasonable way. Properties of the method can be discussed for the continuous model, which is solved by an efficient upwind finite element discretization. As characteristic for the class of multiscale image processing methods, we can in advance select a suitable scale for representing the flow field.