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Issue No. 02 - February (2012 vol. 18)
ISSN: 1077-2626
pp: 270-282
Harald Obermaier , University of California, Davis, Davis
Jan Mohring , Fraunhofer ITWM, Kaiserslautern
Eduard Deines , CD-adapco, Austin
Martin Hering-Bertram , Rhine-Waal University of Applied Sciences, Nollenburgerweg
Hans Hagen , Universität Kaiserslautern, Kaiserslautern
Crease surfaces describe extremal structures of 3D scalar fields. We present a new region-growing-based approach to the meshless extraction of adaptive nonmanifold 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 antinode structures in simulated acoustics.
Valley, ridge, crease, adaptive surface, meshing, acoustics, complex-valued scalar field.

M. Hering-Bertram, H. Hagen, J. Mohring, E. Deines and H. Obermaier, "On Mesh-Free Valley Surface Extraction with Application to Low Frequency Sound Simulation," in IEEE Transactions on Visualization & Computer Graphics, vol. 18, no. , pp. 270-282, 2011.
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