Sampling - Reconstruction Procedure of Gaussian Fields Procedimiento para el Muestreo y Reconstrucción de Campos Gausianos

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Main Author: Sviatoslav Afrikanov
Format: Artículo científico
Language:en
Published: Instituto Politécnico Nacional 2006
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author Sviatoslav Afrikanov
author_facet Sviatoslav Afrikanov
contents Sampling - Reconstruction Procedure of Gaussian Fields Procedimiento para el Muestreo y Reconstrucción de Campos Gausianos Sviatoslav Afrikanov Vladimir Kazakov Computación Gaussian Fields Uniform and Non Uniform Sampling Reconstruction Functions Reconstruction Error Functions The description of the optimal Sampling – Reconstruction Procedure (SRP) of Gaussian fields is given on the basis of the conditional mean rule when the quantity of samples is limited. The Gaussian fields are described by two types of space covariance function: exponential and Gaussian. A lot of both reconstruction and reconstruction error surfaces are obtained by numerical calculation. We changed the type of the covariance functions; the type of sampling (uniform: triangular, square, etc. and non – uniform: polar, spiral, and arbitrary); the quantity of the samples; the distances between the samples; and radii of the covariance functions of both axes. We demonstrate how all above mentioned factors influence on principal optimal SRP characteristics. The results of the calculations have clear interpretations. 2006 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61590304 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.9
format Artículo científico
id redalyc_61590304
institution Redalyc
language en
publishDate 2006
publisher Instituto Politécnico Nacional
spellingShingle Sampling - Reconstruction Procedure of Gaussian Fields Procedimiento para el Muestreo y Reconstrucción de Campos Gausianos
Sviatoslav Afrikanov
Computación
Gaussian Fields
Uniform and Non
Uniform Sampling
Reconstruction Functions
Reconstruction Error Functions
Sampling - Reconstruction Procedure of Gaussian Fields Procedimiento para el Muestreo y Reconstrucción de Campos Gausianos Sviatoslav Afrikanov Vladimir Kazakov Computación Gaussian Fields Uniform and Non Uniform Sampling Reconstruction Functions Reconstruction Error Functions The description of the optimal Sampling – Reconstruction Procedure (SRP) of Gaussian fields is given on the basis of the conditional mean rule when the quantity of samples is limited. The Gaussian fields are described by two types of space covariance function: exponential and Gaussian. A lot of both reconstruction and reconstruction error surfaces are obtained by numerical calculation. We changed the type of the covariance functions; the type of sampling (uniform: triangular, square, etc. and non – uniform: polar, spiral, and arbitrary); the quantity of the samples; the distances between the samples; and radii of the covariance functions of both axes. We demonstrate how all above mentioned factors influence on principal optimal SRP characteristics. The results of the calculations have clear interpretations. 2006 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61590304 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.9
title Sampling - Reconstruction Procedure of Gaussian Fields Procedimiento para el Muestreo y Reconstrucción de Campos Gausianos
topic Computación
Gaussian Fields
Uniform and Non
Uniform Sampling
Reconstruction Functions
Reconstruction Error Functions
url https://www.redalyc.org/articulo.oa?id=61590304