|Title||On Mesh-Free Valley Surface Extraction with Application to Low Frequency Sound Simulation.
|in||Transactions on Visualization and Computer Graphics|
Harald Obermaier, Jan Mohring, Eduard Deines, Martin Hering-Bertram, Hans Hagen |
|Keyword(s)||crease surface; ridge surface; adaptive; interactive; extraction|
Crease surfaces describe extremal structures of three-dimensional scalar fields. We present a new region-growing based approach to the mesh-less extraction of adaptive non-manifold valley and ridge surfaces that overcomes limitations of previous approaches by decoupling point seeding and triangulation of the surface. Our method is capable of extracting valley surface skeletons as connected minimum structures. As our algorithm is inherently mesh-free and curvature adaptive, it is suitable for surface construction in fields with an arbitrary neighborhood structure. As an application for insightful visualization with valley surfaces, we choose a low frequency acoustics simulation. We use our valley surface construction approach to visualize the resulting complex-valued scalar pressure field for arbitrary frequencies to identify regions of sound cancellation. This provides an expressive visualization of the topology of wave node and anti-node structures in simulated acoustics.