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Re: reverse engineering of acoustic sources

There is also some evidence that human listeners have a limited ability to
identify the shape (and a few other physical characteristics) of a vibrating
object. However, it is still unclear exactly what acoustic characteristics
the listeners use. See:

Lakatos, S., McAdams, S., & Causse, R. (1997). The representation of
auditory source characteristics: Simple geometric form. Perception &
Psychophysics, 59(8), 1180-1190.

Carello, C., Anderson, K. L., & Kunkler-Peck, A. J. (1998). Perception of
object length by sound. Psychological Science, 9(3), 211-214.

Kunkler-Peck, A. J., & Turvey, M. T. (2000). Hearing shape. Journal of
Experimental Psychology: Human Perception & Performance, 26(1), 279-294.

Lutfi, R. A. (2001). Auditory detection of hollowness. J Acoust Soc Am,
110(2), 1010-1019.

Grassi, M., (2002). Recognising the size of objects from sounds with
manipulated acoustical parameters. In: Da Silva, J. A., Matsushima, E. H. &
Ribeiro-Filho, N, P. (eds.), Fechner Day 2002. Proceedings of the 18th
Annual Meeting of the International Society for Psychophysics. Rio de
Janeiro, Brasil: The International Society for Psychophysics, 392-397. 


John G. Neuhoff
Department of Psychology
The College of Wooster 
Wooster, OH 44691
Phone: 330-263-2475 
Fax: 928-244-5577

"Ecological Psychoacoustics"
from Academic Press June, 2004

> -----Original Message-----
> From: AUDITORY Research in Auditory Perception 
> [mailto:AUDITORY@LISTS.MCGILL.CA] On Behalf Of Georg Essl
> Sent: Saturday, January 31, 2004 7:54 AM
> Subject: Re: reverse engineering of acoustic sources
> Hi Jim,
> I cannot speak to the claims about the universe and I have 
> yet to get hold
> of this article. But regarding the problem of determining the 
> shape of a
> vibrating structure from its spectrum: This has a sizeable 
> literature in
> mathematics and many currently active contributers to it.
> A very recent but also very technical review is being written by Steve
> Zelditch of JHU and available online at:
> http://mathnt.mat.jhu.edu/zelditch/Preprints/SurveyJDGAMS4.pdf
> a brief and somewhat more readable survey by Ivana Alexandrava can be
> found here:
> http://math.berkeley.edu/~alanw/240papers00/alexandrova.pdf
> Unfortunately I know of very little writing in this field that is less
> reliant on the language, background and notation of contemporary pure
> mathematics (if anybody knows good "descriptive" surveys, I'd 
> love to hear
> about it!)
> Since Carolyn Gordon and coworkers gave explicit 
> constructions of "drums
> that sound the same" it is known that in general the inverse 
> doesn't hold
> in the 2-D case. But the constructions that are used are based on
> triangles and hence don't have a smooth boundary. The question of the
> concave smooth contour is still unsolved though Zelditch, who 
> wrote the
> above survey, recently reported some result in this direction. However
> even a shape like a guitar top plate is not yet solved, as Zelditch's
> proofs require that what mathematicians call the "length 
> spectrum" (the
> set of lengths of closed dynamic trajectories on the 
> geometry) only have
> non-degenerate lengths which keeps his results from being much more
> general.
> It's noteworthy, that even the forward spectral result from 
> geometry is
> not generally solved or exhibits symptoms that illustrate the 
> difficulty
> of the forward and the inverse problem. E.g the stadium billiard (two
> semi-circles connected by straight lines) as representing the 
> dynamics of
> a membrane of that shape has chaotic dynamics. I highly recommend the
> beautiful paper by Michael Berry on the dynamical result with 
> respect to
> chaos of deforming a circle into a stadium:

But to go back to the paragraph at hand, with the caveat of not knowing
the context of the paragraph in their article, at least with respect to
acoustics there is still a lot not known precisely.

- Georg
georg(at)mle.media.mit.edu (current)

> Date:    Fri, 30 Jan 2004 14:24:03 -0600
> From:    beauchamp james w <jwbeauch@UX1.CSO.UIUC.EDU>
> Subject: reverse engineering of acoustic sources
> In the Februrary, 2004 issue of Scientific American, Wayne Hu and
> Martin White in their article "The Cosmic Symphony" write
>   "...researchers have been able to use [temperature variations of
>   the cosmic microwave background] to precisely estimate the age,
>   composition and geometry of the universe. The process is analogous
>   to determining the construction of a musical instrument by
>   carefully listening to its notes."
> My question is: Has there been any work in the second area? (I know
> the reverse has been worked on.) Are the authors trying to say that
> the cosmic quest is as difficult as the acoustic one, or as easy?
> Jim Beauchamp
> Univ. of Illinois Urbana-Champaign
> PS I note that in their p. 48 figure they have the wrong series of
>    acoustic standing waves.