2008
DOI: 10.1016/j.physd.2007.10.011
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Local to global normalization dynamic by nonlinear local interactions

Abstract: Here, I present a novel method for normalizing a finite set of numbers, which is studied by the domain of biological vision. Normalizing in this context means searching the maximum and minimum number in a set and then rescaling all numbers such that they fit into a numerical interval. My method computes the minimum and maximum number by two pseudo-diffusion processes in separate diffusion layers. Activity of these layers feed into a third layer for performing the rescaling operation. The dynamic of the network… Show more

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Cited by 5 publications
(3 citation statements)
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“…26 At first sight it seems that contrast effects, such as simultaneous brightness contrast 27 (SBC), can be explained by lateral inhibition between a target (center) and its context 28 (surround). However, activity related to brightness contrast does possibly not occur 29 before V1, albeit the receptive fields of retinal ganglion cells are consistent with lateral 30 inhibition [1]. 31 Unlike contrast, brightness assimilation pulls a target's brightness towards to that of 32 its immediate context, and therefore cannot be explained by mechanisms based on plain 33 lateral inhibition.…”
Section: Introduction 17mentioning
confidence: 76%
See 1 more Smart Citation
“…26 At first sight it seems that contrast effects, such as simultaneous brightness contrast 27 (SBC), can be explained by lateral inhibition between a target (center) and its context 28 (surround). However, activity related to brightness contrast does possibly not occur 29 before V1, albeit the receptive fields of retinal ganglion cells are consistent with lateral 30 inhibition [1]. 31 Unlike contrast, brightness assimilation pulls a target's brightness towards to that of 32 its immediate context, and therefore cannot be explained by mechanisms based on plain 33 lateral inhibition.…”
Section: Introduction 17mentioning
confidence: 76%
“…To this end, he relies heavily on the max-operator, which he justified 139 with a dendritic circuit proposal. In comparison, [29] used a modified diffusion operator, 140 which could be efficiently implemented (both physiologically and computationally) with 141 rectifying gap-junctions or rectifying dendro-dendritic connections [17,29]. For filling-in, 142 Domijan's used a luminance sensitive pathway.…”
Section: Introduction 17mentioning
confidence: 99%
“…A surface response (say DL) will not survive either, because D-and L-responses have equal amplitudes. The local spatial WTA-competition is established with a nonlinear diffusion paradigm [52]. The final output of the texture system (i.e., a texture representation) is computed according to equation 6, where texture brightness acts excitatory, and texture darkness inhibitory.…”
Section: Application 1: a Dynamical Retinal Modelmentioning
confidence: 99%