
Affine Structure From Sound
Sebastian ThrunWe consider the problem of localizing a set of microphones together with a set of external acoustic events (e.g., hand claps), emitted at unknown times and unknown locations. We propose a solution that approximates this problem under an ``orthocoustic'' model defined in the calculus of affine geometry, and that relies on SVD to recover the affine structure of the problem. We then define lowdimensional optimization techniques for embedding the solution into Euclidean geometry, and further techniques for recovering the locations and emission times of the acoustic events. The approach is useful for the calibration of adhoc microphone arrays and sensor networks (though it requires centralized computation).
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@INPROCEEDINGS{Thrun05c, AUTHOR = {S. Thrun}, TITLE = {Affine Structure From Sound}, YEAR = {2005}, BOOKTITLE = {Proceedings of Conference on Neural Information Processing Systems (NIPS)}, PUBLISHER = {MIT Press}, ADDRESS = {Cambridge, MA} } 