Heritage and early history of the boundary element method

Cheng, Alexander H.‐D.; Cheng, Daisy T.

doi:10.1016/j.enganabound.2004.12.001

Cited by 483 publications

(216 citation statements)

References 92 publications

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“…In order to minimize the energy functional, we solve the resulting system of differential equations with homogeneous Neumann boundary conditions [18]. This step is done via discrete numerical schemes.…”

Section: Euler-lagrange Equation the Goal Of The Variational Methods mentioning

confidence: 99%

Using Active Illumination for Accurate Variational Space-Time Stereo

2011

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Abstract. This paper addresses the problem of space-time stereo with active illumination and presents a formulation of this problem in the variational framework. Variational problems of this scale are computationally expensive to solve directly. We overcome this challenge by showing that speed-improving techniques, as the full-multi-grid and the multi-leveladaptation techniques, can be applied. We evaluate the performance of our method on 3 ground-truth datasets. The experimental results for synthetic and real datasets show that the combination of active illumination and variational space-time stereo improves the quality of the reconstruction on average by up to 3.1 times compared to a reconstruction from a single passive stereo image pair without active illumination.

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Section: Euler-lagrange Equation the Goal Of The Variational Methods mentioning

confidence: 99%

Using Active Illumination for Accurate Variational Space-Time Stereo

2011

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“…The most common among frequency-domain techniques include the finite element method (FEM) [32] and the boundary element method (BEM) [6]. BEM expresses the global acoustic field as the sum of elementary radiating fields from monopole and dipole sources placed on a uniform, sub-wavelength sampling of the scene's surface.…”

Section: Wave-based Techniquesmentioning

confidence: 99%

Wave-based sound propagation for VR applications

Mehra

Manocha

2014

2014 IEEE VR Workshop: Sonic Interaction in Virtual Environments (SIVE)

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Figure 1: The equivalent source technique accurately models realistic acoustic effects, such as diffraction, scattering, focusing, and echoes, in large, open scenes. It reduces the runtime memory usage by orders of magnitude compared to state-of-the-art wave solvers, enabling real-time, wave-based sound propagation in scenes spanning hundreds of meters: a) reservoir scene (Half-Life 2), b) Christmas scene, and c) desert scene. AbstractRealistic sound effects are extremely important in VR to improve the sense of realism and immersion. It augments the visual sense of the user and can help reduce simulation fatigue. Sound can provide 3D spatial cues outside field of view and help create high-fidelity VR training simulations. Current sound propagation techniques are based on heuristic approaches or simple line of sight-based geometric techniques. These techniques cannot capture important sound effects such as diffraction, interference, focusing. For VR applications, there is a need for high-fidelity, accurate sound propagation. In order to model sound propagation accurately, it is important to develop interactive wave-based propagation techniques. We present a set of efficient approaches to model wave-based sound propagation for VR applications that can handle large scenes, directional sound sources, and generate spatial sound, for a moving listener. Our technique has been integrated in Valve's Source game engine and we use it to demonstrate realistic acoustic effects such as diffraction, high-order reflection, interference, directivity, and spatial sound, in complex scenarios.

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“…The works by Marburg and Nolte [1], Cheng and Cheng [2] and Pluymers et al [3] and the reference book by Jensen et al [4] give a good general overview of the developments in this field.…”

Section: Introductionmentioning

confidence: 99%

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

Tadeu¹,

António²,

Castro³

2012

WIT Transactions on Modelling and Simulation

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This paper models the propagation of sound in the vicinity of 3D acoustic barriers placed parallel to a building façade to mitigate the noise generated by point pressure sources. The barriers are assumed to be very thin rigid elements. The problem is solved by developing and implementing a 3D boundary element method formulation based on the normal derivative integral equation (TBEM). The TBEM is formulated in the frequency domain and the resulting hypersingular terms are computed analytically. After verifying the model against 2.5D BEM solutions, several numerical applications are described to illustrate the practical usefulness of the proposed approaches. Different longitudinal barrier geometries are simulated to evaluate the influence of this characteristic on the sound pressure level attenuation attained at the building façade. Keywords: acoustic wave propagation, 3D thin barriers, normal derivative integral equation, analytical integration of hypersingular integrals.

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Heritage and early history of the boundary element method

Cited by 483 publications

References 92 publications

Using Active Illumination for Accurate Variational Space-Time Stereo

Using Active Illumination for Accurate Variational Space-Time Stereo

Wave-based sound propagation for VR applications

Sound pressure attenuation provided by a 3D rigid acoustic barrier on a building façade: the influence of its longitudinal shape

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