Information-theoretic assessment of imaging systems via data compression

2001 ◽  
Author(s):  
Bruno Aiazzi ◽  
Luciano Alparone ◽  
Stefano Baronti
Keyword(s):  
Data Compression ◽  
Imaging Systems ◽  
Information Theoretic

Applications of Formalized Information Theory

2015 ◽  
pp. 159-178
Keyword(s):  
Information Theory ◽  
Data Compression ◽  
Theorem Proving ◽  
Formal Analysis ◽  
Theoretic Analysis ◽  
Information Theoretic ◽  
Wide Range ◽  
Comprehensive Framework

In previous chapters, the authors provided a comprehensive framework that can be used in the formal probabilistic and information-theoretic analysis of a wide range of systems and protocols. In this chapter, they illustrate the usefulness of conducting this analysis using theorem proving by tackling a number of applications including a data compression application, the formal analysis of an anonymity-based MIX channel, and the properties of the onetime pad encryption system.

scholarly journals Measuring Non-Gaussianity by Phi-Transformed and Fuzzy Histograms

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Claudia Plant ◽  
Son Mai Thai ◽  
Junming Shao ◽  
Fabian J. Theis ◽  
Anke Meyer-Baese ◽  
...  
Keyword(s):  
Data Analysis ◽  
Data Compression ◽  
Theoretic Model ◽  
General Technique ◽  
Information Theoretic ◽  
Efficient Data ◽  
Information Theoretic Measures ◽  
Fully Automatic ◽  
Non Gaussian ◽  
Ica Algorithm

Independent component analysis (ICA) is an essential building block for data analysis in many applications. Selecting the truly meaningful components from the result of an ICA algorithm, or comparing the results of different algorithms, however, is nontrivial problems. We introduce a very general technique for evaluating ICA results rooted in information-theoretic model selection. The basic idea is to exploit the natural link between non-Gaussianity and data compression: the better the data transformation represented by one or several ICs improves the effectiveness of data compression, the higher is the relevance of the ICs. We propose two different methods which allow an efficient data compression of non-Gaussian signals: Phi-transformed histograms and fuzzy histograms. In an extensive experimental evaluation, we demonstrate that our novel information-theoretic measures robustly select non-Gaussian components from data in a fully automatic way, that is, without requiring any restrictive assumptions or thresholds.

Information-Theoretic Modeling of Trichromacy Coding of Light Spectrum

2014 ◽  
Vol 13 (04) ◽  
pp. 1450025 ◽  
Author(s):  
Landry Benoit ◽  
Étienne Belin ◽  
David Rousseau ◽  
François Chapeau-Blondeau
Keyword(s):  
Low Cost ◽  
Spectral Width ◽  
Imaging Systems ◽  
High Spectral Resolution ◽  
Light Spectrum ◽  
Center Wavelength ◽  
Information Theoretic ◽  
Spectral Signatures ◽  
Informational Model ◽  
Measure Of Performance

Trichromacy is the representation of a light spectrum by three scalar coordinates. Such representation is universally implemented by the human visual system and by RGB (Red Green Blue) cameras. We propose here an informational model for trichromacy. Based on a statistical analysis of the dynamics of individual photons, the model demonstrates a possibility for describing trichromacy as an information channel, for which the input–output mutual information can be computed to serve as a measure of performance. The capabilities and significance of the informational model are illustrated and motivated in various situations. The model especially enables an assessment of the influence of the spectral sensitivities of the three types of photodetectors realizing the trichromatic representation. It provides a criterion to optimize possibly adjustable parameters of the spectral sensitivities such as their center wavelength, spectral width or magnitude. The model shows, for instance, the usefulness of some overlap with smooth graded spectral sensitivities, as observed for instance in the human retina. The approach also, starting from hyperspectral images with high spectral resolution measured in the laboratory, can be used to devise low-cost trichromatic imaging systems optimized for observation of specific spectral signatures. This is illustrated with an example from plant science, and demonstrates a potential of application especially to life sciences. The approach particularizes connections between physics, biophysics and information theory.

Image data compression based on non-negative incoherent imaging systems

2010 ◽  
Vol 49 (30) ◽  
pp. 5713
Author(s):  
Hamootal Duadi ◽  
Adolf W. Lohmann ◽  
Zeev Zalevsky
Keyword(s):  
Data Compression ◽  
Image Data ◽  
Imaging Systems ◽  
Image Data Compression ◽  
Incoherent Imaging
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