TY - GEN
T1 - Analysis of signal propagation in 1-D CNNs with the antisymmetric template
AU - Takahashi, Norikazu
AU - Nishi, Tetsuo
AU - Hara, Hajime
PY - 2010
Y1 - 2010
N2 - This paper studies some fundamental properties on signal propagation in one-dimensional cellular neural networks with the antisymmetric template under the assumption that the initial output has only one connected component. A new sufficient condition for the component to propagate without attenuation is derived through theoretical analysis. It is also proved that under the same condition the final output is a black-and-white image having only one black at the right-most pixel, which means that the network can perform connected component detection when the input image has only one connected component.
AB - This paper studies some fundamental properties on signal propagation in one-dimensional cellular neural networks with the antisymmetric template under the assumption that the initial output has only one connected component. A new sufficient condition for the component to propagate without attenuation is derived through theoretical analysis. It is also proved that under the same condition the final output is a black-and-white image having only one black at the right-most pixel, which means that the network can perform connected component detection when the input image has only one connected component.
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U2 - 10.1109/cnna.2010.5430264
DO - 10.1109/cnna.2010.5430264
M3 - Conference contribution
AN - SCOPUS:77952369281
SN - 9781424466795
T3 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
BT - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
PB - IEEE Computer Society
T2 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
Y2 - 3 February 2010 through 5 February 2010
ER -