![]() ![]() ![]() VDaT (orange) is designed to approximate the results of the accurate BTM (Biot-Tolstoy-Medwin) edge-diffraction model (green), at a much lower computational cost than evaluating it directly. ![]() VDaT uses many concentric cylinders like this to sample the space around each direct path segment, and uses the results to approximate the impulse response of the accurate BTM (Biot-Tolstoy-Medwin) edge-diffraction model. Five of these subpaths are blocked by scene geometry, but the other three are able to traverse the scene. Here, VDaT traces eight subpaths on the outside of a cylinder around the direct path segment. This city scene was constructed to be compared to the scene in the video demo of a competing diffraction model, "High-Order Diffraction and Diffuse Reflections for Interactive Sound Propagation in Large Environments" (Carl Schissler, Ravish Mehra, Dinesh Manocha).Īn example of the spatial sampling performed by VDaT. Notice how the ambulance can be heard approaching from far away, due to reflections as well as diffraction, and is occluded in a smooth, realistic way when it passes behind the truck. ![]() (Please use headphones.) VDaT in action in an example scene with moving sources, receiver, and occluders. Source code for an offline Python implementation of VDaT, licensed for academic research use, is available here. VDaT is a core component of our real-time audio spatialization and acoustic modeling system Space3D. In contrast, VDaT requires no precomputation and makes no assumptions about the scene geometry, making it ideal for interactive multimedia applications with highly dynamic scenes. The complexity of these latter approaches grows rapidly as the number of scene triangles increase, often requiring diffraction information to be precomputed and hence limiting changes to the scene at run time. This approach is efficient and highly GPU-parallelizable, and it scales to large scenes much better than existing edge-diffraction approaches. The results of this spatial sampling process are plugged into a model to approximate the more accurate edge-diffraction results, at a fraction of the compute cost. Unlike existing diffraction models which focus on the edges of objects which sound diffracts around, VDaT samples paths through the empty space around objects, determining how far sound must deviate from the blocked direct path in order to make it through the scene. This simulation will only be convincing if the diffraction algorithm is sufficiently accurate in any virtual scene you find yourself in-and sufficiently fast to be computed in real-time. In Space3D, diffraction is simulated together with reflections of sound off of obstacles, to determine a set of paths which sound traverses from sound sources through an environment to your ears. VDaT was introduced in the paper, "Approximate diffraction modeling for real-time sound propagation simulation" (Louis Pisha, Siddharth Atre, John Burnett, and Shahrokh Yadegari), published in the Journal of the Acoustical Society of America (JASA) (October 8th, 2020), and featured on the cover of JASA's October issue.ĭiffraction of sounds around obstacles is a key component of our everyday sonic experience, although we may not be consciously aware of it: it is why sounds do not abruptly start or stop when moving around corners or behind obstacles. VDaT (Volumetric Diffraction and Transmission) is an algorithm developed at Sonic Arts for simulating the diffraction of sound in virtual environments, such as the virtual worlds of games and VR. Note that the sound waves behind the barrier appear to come from the diffracting edge, despite VDaT being neither a wave-based nor an edge-based model. Sound propagating around a barrier, as modeled by VDaT. ![]()
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Matthew brought another fun time zone anomaly to my attention and it’s definitely worth discussing. You can find more information about Arizona time zones elsewhere on the blog at “ Arizona Does Not Recognize Daylight Saving Time.” For instance, many businesses in Tuba City observe standard time just like the rest of Arizona for commercial reasons and to avoid confusing tourists. Plus the lines aren’t even as clean as suggested. However it’s still a fun set of circumstances to ponder. In reality our traveler wouldn’t actually change his watch four times along this 90 mile route. Our fictional traveler would start in DST (Jeddito, Navajo exclave), switch to standard time (Hopi), switch to DST (Navajo), switch to standard time (Moenkopi, Hopi exclave) and switch to DST (Navajo) at Tuba City. Imagine someone traveling from Jeddito on Route 264 to Tuba City during the summer. All is fine during the winter months when everyone observes Mountain Standard Time but it spirals into confusion when DST kicks-in. The Navajo Nation recognizes daylight saving time (DST). A major Navajo town with more than 8,000 inhabitants, Tuba City, sits just above Moenkopi north of the intersection of Routes 160 and 264. ![]() Likewise the Hopi Nation also has an exclave, Moenkopi, within the Navajo Nation. The Navajo Nation has an exclave, Jeddito, within the primary Hopi territory. The boundaries of the Hopi Nation are enclosed entirely within the boundaries of the Navajo Nation. Thanks goodness for taxpayer supported public-domain images. I went to the National Atlas of the United States, applied a time zone layer and dropped the resulting image into graphics software to affix the proper labels. Actually, more specifically, I made a map. Mapping Itįinally I found a map that demonstrates my point. It shouldn’t be this difficult to find a good time zone map but apparently that’s the case unless one wants coverage of the entire United States. The other online mapping sites provide no help either, and the static maps are entirely hit-or-miss. Mapquest provides time zone boundaries at its higher-level views but those disappear just as I click-down to the proper level of detail. I mentioned the whole Arizona, Navajo, Hopi complexity in my response, but I’d been unable to find a decent map to get the point across. Recently he wondered whether I might have an interest in time zone boundaries. Matthew of the prullmw blog is a regular reader and commentator on the Twelve Mile Circle. ![]() |
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