Using Flow Textures to Visualize Unsteady Vector Fields sous titre...
Overview Flow textures allow the visualization of unsteady vector fields as an animation of a dense set of particles The generated animations are very smooth (high spatio-temporal correlation) easily and naturally interpreted The algorithm may be applied to 2D vector fields 3D flows on surfaces
Features of our algorithm Visualization of the following flow properties at every pixel of the domain direction orientation velocity associated scalar value (temperature, pressure...) Interactivity real-time rendering of the animation allowing interactive exploration of the data integrates the temporal dimension Intuitive interpretation of the flow evolution
Mathematical Background « Lagrangian-Eulerian » Hybrid approach compute the evolution of the flow property at every discrete point of the domain guarantee an optimally high spatial resolution (fine details) Very interesting compared to classical « lagrangian » techniques (i.e., pure particle tracing) particles don't cluster together in regions of convergence and don't spread out in regions of divergence no time is lost in maintaining a uniform particle coverage of the domain
Comparison with Classical Techniques Arrow placement Pros simple to implement Easy to understand local information (harder in 3D) Cons only available on a subset of points in the domain no continuity from one arrow to the next unintuitive animations limited arrow density
Comparison with Classical Techniques Field line placement Pros good understanding of the flow structure Cons difficult to find good seed points to cover the entire domain lines tend to concentrate in certain regions difficult to understand unsteady flows
Comparison with Classical Techniques Flow Textures Pros information available at every pixel of the domain intuitive animations no seed points good integration within 3D scenes Cons more complex programming
Image Gallery
Dye Injection
Dye Injection + particles
Flow Texture
Flow Texture
Flow Texture on 3D Surface
Flow Texture on 3D Surface
Flow Texture on 3D Surface
Flow Texture on 3D Surface