Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/52820
Title: Image quantization by nonlinear smoothing
Authors: Alvarez, Luis 
Esclarín, Julio 
UNESCO Clasification: 120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
220990 Tratamiento digital. Imágenes
Keywords: Dynamic programming
Image processing
Image quantization
Lloyd energie
Multiscale analysis, et al
Issue Date: 1995
Journal: Proceedings of SPIE - The International Society for Optical Engineering 
Conference: Conference on Investigative and Trial Image Processing 
Abstract: We present a quantization technique based on the partial differential equation (Equation presented) where (Equation presented) represents the derivative of the function u in the direction orthogonal to the gradient, Gσ is a linear convolution kernel, g is a decreasing function and f(s,t) is a lipschitz function. We assume that when t tends to +∞, f(s, t) tends uniformly to a function f∞(s) which has a finite number of zeros with negative derivative which act as atractors in the system and represent the quantization levels. The location of the zero-crossing of the function f∞(s) depends on the histogram of the initial image given by u0. We introduce a new energie based in the Lloyd model to compute the quantizer levels. We develop a numerical scheme to discretize the above equation and we present some experimental results.
URI: http://hdl.handle.net/10553/52820
ISBN: 0-8194-1926-5
978-0-8194-1926-2
ISSN: 0277-786X
DOI: 10.1117/12.218473
Source: Proceedings of SPIE - The International Society for Optical Engineering [ISSN 0277-786X], v. 2567, p. 182-192, (Septiembre 1995)
Appears in Collections:Actas de congresos
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