Publication

Acoustic Based Rendering by Interpolation of the Plenacoustic Function

Martin Vetterli
2003
Conference Papers

Abstract

We study the spatialization of the sound field in a room, in particular the evolution of room impulse responses as function of their spatial positions. The presented technique allows us to completely characterize the sound field in any arbitrary location if the sound field is known in a certain finite number of positions. In this paper, we include an analytical solution of the problem for any rectangular room. Further results on reconstruction of the sound field by interpolation of the Plenacoustic function are discussed.

Official source

https://infoscience.epfl.ch/entities/publication/c28da0ac-c7af-4c87-a293-2d764118f710

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Martin Vetterli
2003
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c28da0ac-c7af-4c87-a293-2d764118f710

About this result

Related concepts (32)

Interpolation

In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable.

Multivariate interpolation

In numerical analysis, multivariate interpolation is interpolation on functions of more than one variable (multivariate functions); when the variates are spatial coordinates, it is also known as spatial interpolation. The function to be interpolated is known at given points and the interpolation problem consists of yielding values at arbitrary points . Multivariate interpolation is particularly important in geostatistics, where it is used to create a digital elevation model from a set of points on the Earth's surface (for example, spot heights in a topographic survey or depths in a hydrographic survey).

Spatial analysis

Spatial analysis is any of the formal techniques which studies entities using their topological, geometric, or geographic properties. Spatial analysis includes a variety of techniques using different analytic approaches, especially spatial statistics. It may be applied in fields as diverse as astronomy, with its studies of the placement of galaxies in the cosmos, or to chip fabrication engineering, with its use of "place and route" algorithms to build complex wiring structures.

Related publications (15)

Acoustic Based Rendering by Interpolation of the Plenacoustic Function

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