Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Spectral recovery of outdoor illumination by an extension of the Bayesian inverse approach to the Gaussian mixture model

Not Accessible

Your library or personal account may give you access

Abstract

The Bayesian inference approach to the inverse problem of spectral signal recovery has been extended to mixtures of Gaussian probability distributions of a training dataset in order to increase the efficiency of estimating the spectral signal from the response of a transformation system. Bayesian (BIC) and Akaike (AIC) information criteria were assessed in order to provide the Gaussian mixture model (GMM) with the optimum number of clusters within the spectral space. The spectra of 2600 solar illuminations measured in Granada (Spain) were recovered over the range of 360–830 nm from their corresponding tristimulus values using a linear model of basis functions, the Wiener inverse (WI) method, and the Bayesian inverse approach extended to the GMM (BGMM). A model of Gaussian mixtures for solar irradiance was deemed to be more appropriate than a single Gaussian distribution for representing the probability distribution of the solar spectral data. The results showed that the estimation performance of the BGMM method was better than either the linear model or the WI method for the spectral approximation of daylight from the three-dimensional tristimulus values.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Color and spectral analysis of daylight in southern Europe

Javier Hernández-Andrés, Javier Romero, Juan L. Nieves, and Raymond L. Lee
J. Opt. Soc. Am. A 18(6) 1325-1335 (2001)

Spectral-daylight recovery by use of only a few sensors

Javier Hernández-Andrés, Juan L. Nieves, Eva M. Valero, and Javier Romero
J. Opt. Soc. Am. A 21(1) 13-23 (2004)

Manifold regularized semi-supervised Gaussian mixture model

Haitao Gan, Nong Sang, and Rui Huang
J. Opt. Soc. Am. A 32(4) 566-575 (2015)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (41)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved