Wide-field, motion-sensitive neurons and matched filters for optic flow fields.pdf

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Wide-field, motion-sensitive neurons and matched filters for optic flow fields.pdf

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Wide-field, motion-sensitive neurons and matched filters for optic flow fields

PM Max?Planck?Institut fu?r biologische Kybernetik Spemannstra?e 38 72076 Tu?bingen Germany Technical Report No. 61Wide-Field, Motion-SensitiveNeurons and Optimal MatchedFilters for Optic FlowMatthias O. Franz1 Holger G. Krapp2June 1998 The authors wish to thank R. Hengstenberg, H. A. Mallot, M. Egelhaaf and H.-J. Dahmen for helpfulcomments on the manuscript. Financial support was provided by the Human Frontier Science Program andthe Max-Planck-Gesellschaft. 1 AG Bultho, E{mail: Matthias Franz@tuebingen.mpg.de2 Lehrstuhl fur Neurobiologie, Postfach 10 01 31, D-33501 Bielefeld, Germany, E{mail: Holger.Krapp@Biologie.Uni-Bielefeld.deThis document is available as /pub/mpi-memos/TR-061.ps via anonymous ftp from ftp.mpik-tueb.mpg.de or fromthe World Wide Web, http://www.mpik-tueb.mpg.de/bu.html. Wide-Field, Motion-Sensitive Neurons andOptimal Matched Filters for Optic FlowMatthias O. Franz Holger G. KrappAbstract. We present a theory for the construction of an optimal matched lter for self-motion inducedoptic ow elds. The matched lter extracts local ow components along a set of pre-dened directionsand weights them according to an optimization principle which minimizes the dierence between estimatedand real egomotion parameters. In contrast to previous approaches, prior knowledge about distance andtranslation statistics is incorporated in the form of a \world model. Simulations indicate that thematched lter model yields reliable self-motion estimates. A comparison of the weight distribution usedin the model with the local motion sensitivities of individual and small groups of interneurons in the y visual system shows a close correspondence. This suggests that these so-called tangential neuronsare tuned to optic ow elds induced by rotation or translation along a particular axis. They seem toweight the local optic ow according to the contribution of input noise and the expected variability of thetranslatory ow component. Their local preferred directi