Finite difference schemes and partial differential equations
Finite difference schemes and partial differential equations
IEEE Spectrum
Accelerated wave-based acoustics simulation
Proceedings of the 2008 ACM symposium on Solid and physical modeling
ACM SIGGRAPH 2009 Courses
Block-Based Physical Modeling with Applications in Musical Acoustics
International Journal of Applied Mathematics and Computer Science - Selected Problems of Computer Science and Control
Modeling the Vocal Tract Transfer Function Using a 3D Digital Waveguide Mesh
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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Digital waveguides and finite difference time domain schemes have been used in physical modeling of spatially distributed systems. Both of them are known to provide exact modeling of ideal one-dimensional (1D) band-limited wave propagation, and both of them can be composed to approximate two-dimensional (2D) and three-dimensional (3D) mesh structures. Their equal capabilities in physical modeling have been shown for special cases and have been assumed to cover generalized cases as well. The ability to form mixed models by joining substructures of both classes through converter elements has been proposed recently. In this paper, we formulate a general digital signal processing (DSP)-oriented framework where the functional equivalence of these two approaches is systematically elaborated and the conditions of building mixed models are studied. An example of mixed modeling of a 2D waveguide is presented.