Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46209
Title: Image quantization using reaction-diffusion equations
Authors: Alvarez, Luis 
Esclarín, Julio 
UNESCO Clasification: 220990 Tratamiento digital. Imágenes
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
Keywords: Image quantization
Multiscale vision model
Partial differential equation
Viscosity solutions
Issue Date: 1997
Journal: SIAM Journal on Applied Mathematics 
Abstract: In this paper we present an image quantization model based on a reaction-diffusion partial differential equation. The quantized image is given by the asymptotic state of this equation. Existence and uniqueness of the solution are proved in the framework of viscosity solutions. We introduce an L∞ stable algorithm in order to compute numerically the solution of the equation, and some experimental results are shown. A new energy functional based on the classical Lloyd method is used to compute the quantizer codewords.
URI: http://hdl.handle.net/10553/46209
ISSN: 0036-1399
DOI: 10.1137/S0036139994277580
Source: SIAM Journal on Applied Mathematics [ISSN 0036-1399], v. 57 (1), p. 153-175
Appears in Collections:Artículos
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