Mathematical models of depth perception in weakly electric fish

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dc.contributor.advisorHuang, Huaxiong
dc.contributor.advisorLewis, Greg
dc.creatorPourziaei, Babak
dc.date.accessioned2016-09-13T13:14:35Z
dc.date.available2016-09-13T13:14:35Z
dc.date.copyright2013-06
dc.degree.disciplineMathematics & Statistics
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractWeakly electric fish use electrolocation - the detection of electric fields - to sense their environment. The task of electrolocation involves the decoding of the third dimension - depth - from a two-dimensional electric image. In this work we present three advances in the area of depth-perception. First, we develop a model for electrolocation based on a single parameter, namely the width of the electric image. In contrast to previous suggested algorithms, our algorithm would only require a single narrow tuned topographic map to accurately estimate distance. This model is used to study the effects of electromagnetic noise and the presence of stochastic resonance. Second, considering the problem of depth perception from the perspective of information constraints, we ask how much information is necessary for location disambiguation? That is, what is the minimum amount of information that fish would need to localize an object? This inverse problem approach gives us insight into biological electrolocation and provides a guide for future experimental work. Our final contribution is to provide a mathematical foundation for two of the most accepted depth perception models currently in use.
dc.identifier.urihttp://hdl.handle.net/10315/31970
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subject.keywordsdepth perception
dc.subject.keywordsweakly electric fish
dc.subject.keywordselectrolocation
dc.subject.keywordselectromagnetic noise
dc.subject.keywordsstochastic resonance
dc.titleMathematical models of depth perception in weakly electric fish
dc.typeElectronic Thesis or Dissertation

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