NDLI: M-lattice: a novel non-linear dynamical system and its application to halftoning

Content Provider	IEEE Xplore Digital Library
Author	Sherstinsky, A. Picard, R.W.
Copyright Year	1994
Description	Author affiliation: Media Lab., MIT, Cambridge, MA, USA (Sherstinsky, A.; Picard, R.W.)
Abstract	This paper presents a novel non-linear dynamical system called the "M-lattice system". This system is rooted in the reaction-diffusion model, first proposed be Turing in 1952 to explain the formation of animal patterns such as zebra stripes and leopard spots. The M-lattice system is closely related to the analog Hopfield network and the cellular neural network, but has more flexibility in how its variables interact. In particular, the model is well-suited to a variety of applications formulated as constrained nonlinear optimization. The present study demonstrates the use of this model for two different image halftoning examples. The first example synthesizes a halftone of Einstein in the "hand-drawn" style of the Wall Street Journal portraits; it illustrates how a more flexible quality metric can be used when the binary requirement is stated as an explicit constraint. The second example synthesizes halftones free of correlated artifacts; it illustrates the noise-shaping capability of the M-lattice system.<>
File Size	365027
File Format	PDF
ISBN	0780317750
ISSN	15206149
DOI	10.1109/ICASSP.1994.389593
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-04-19
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Laboratories Animals Neural networks Hopfield neural networks Constraint optimization Network synthesis Noise shaping Nonlinear equations Biological system modeling Pattern formation
Content Type	Text
Resource Type	Article

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