Miquel Feixas | Universitat de Girona (original) (raw)
Papers by Miquel Feixas
Entropy
Information theory, and the concept of information channel, allows us to calculate the mutual inf... more Information theory, and the concept of information channel, allows us to calculate the mutual information between the source (input) and the receiver (output), both represented by probability distributions over their possible states. In this paper, we use the theory behind the information channel to provide an enhanced interpretation to a Social Accounting Matrix (SAM), a square matrix whose columns and rows present the expenditure and receipt accounts of economic actors. Under our interpretation, the SAM’s coefficients, which, conceptually, can be viewed as a Markov chain, can be interpreted as an information channel, allowing us to optimize the desired level of aggregation within the SAM. In addition, the developed information measures can describe accurately the evolution of a SAM over time. Interpreting the SAM matrix as an ergodic chain could show the effect of a shock on the economy after several periods or economic cycles. Under our new framework, finding the power limit of t...
Entropy
This paper uses quantitative eye tracking indicators to analyze the relationship between images o... more This paper uses quantitative eye tracking indicators to analyze the relationship between images of paintings and human viewing. First, we build the eye tracking fixation sequences through areas of interest (AOIs) into an information channel, the gaze channel. Although this channel can be interpreted as a generalization of a first-order Markov chain, we show that the gaze channel is fully independent of this interpretation, and stands even when first-order Markov chain modeling would no longer fit. The entropy of the equilibrium distribution and the conditional entropy of a Markov chain are extended with additional information-theoretic measures, such as joint entropy, mutual information, and conditional entropy of each area of interest. Then, the gaze information channel is applied to analyze a subset of Van Gogh paintings. Van Gogh artworks, classified by art critics into several periods, have been studied under computational aesthetics measures, which include the use of Kolmogorov...
SIGGRAPH Asia 2017 Courses on - SA '17
Journal of Signal Processing Systems For Signal Image and Video Technology, 2009
Computers and Graphics, Aug 1, 2010
Information Sciences, Apr 1, 2010
ABSTRACT Image registration consists in finding the transformation that brings one image into the... more ABSTRACT Image registration consists in finding the transformation that brings one image into the best possible spatial correspondence with another image. In this paper, we present a new framework for image registration based on compression. The basic idea underlying our approach is the conjecture that two images are correctly registered when we can maximally compress one image given the information in the other. The contribution of this paper is twofold. First, we show that image registration can be formulated as a compression problem. Second, we demonstrate the good performance of the similarity metric, introduced by Li et al., in image registration. Two different approaches for the computation of this similarity metric are described: the Kolmogorov version, computed using standard real-world compressors, and the Shannon version, calculated from an estimation of the entropy rate of the images.
2014 Ieee International Conference on Image Processing, Oct 27, 2014
Computers and Graphics, Aug 1, 2008
Lecture Notes in Computer Science, 2000
... 31. Conturo, TE, Lori, NF, Cull, TS, Akbudak, E., Snyder, AZ, Shimony, JS, McKinstry, RC, Bur... more ... 31. Conturo, TE, Lori, NF, Cull, TS, Akbudak, E., Snyder, AZ, Shimony, JS, McKinstry, RC, Burton, H., Raichle, ME: Tracking neuronal fiber pathways in the ... 34. AK Jain , MN Murty , PJ Flynn, Data clustering: a review, ACM Computing Surveys (CSUR), v.31 n.3, p.264-323, Sept. ...
Proceedings Spring Conference on Computer Graphics, 2000
Entropy
Information theory, and the concept of information channel, allows us to calculate the mutual inf... more Information theory, and the concept of information channel, allows us to calculate the mutual information between the source (input) and the receiver (output), both represented by probability distributions over their possible states. In this paper, we use the theory behind the information channel to provide an enhanced interpretation to a Social Accounting Matrix (SAM), a square matrix whose columns and rows present the expenditure and receipt accounts of economic actors. Under our interpretation, the SAM’s coefficients, which, conceptually, can be viewed as a Markov chain, can be interpreted as an information channel, allowing us to optimize the desired level of aggregation within the SAM. In addition, the developed information measures can describe accurately the evolution of a SAM over time. Interpreting the SAM matrix as an ergodic chain could show the effect of a shock on the economy after several periods or economic cycles. Under our new framework, finding the power limit of t...
Entropy
This paper uses quantitative eye tracking indicators to analyze the relationship between images o... more This paper uses quantitative eye tracking indicators to analyze the relationship between images of paintings and human viewing. First, we build the eye tracking fixation sequences through areas of interest (AOIs) into an information channel, the gaze channel. Although this channel can be interpreted as a generalization of a first-order Markov chain, we show that the gaze channel is fully independent of this interpretation, and stands even when first-order Markov chain modeling would no longer fit. The entropy of the equilibrium distribution and the conditional entropy of a Markov chain are extended with additional information-theoretic measures, such as joint entropy, mutual information, and conditional entropy of each area of interest. Then, the gaze information channel is applied to analyze a subset of Van Gogh paintings. Van Gogh artworks, classified by art critics into several periods, have been studied under computational aesthetics measures, which include the use of Kolmogorov...
SIGGRAPH Asia 2017 Courses on - SA '17
Journal of Signal Processing Systems For Signal Image and Video Technology, 2009
Computers and Graphics, Aug 1, 2010
Information Sciences, Apr 1, 2010
ABSTRACT Image registration consists in finding the transformation that brings one image into the... more ABSTRACT Image registration consists in finding the transformation that brings one image into the best possible spatial correspondence with another image. In this paper, we present a new framework for image registration based on compression. The basic idea underlying our approach is the conjecture that two images are correctly registered when we can maximally compress one image given the information in the other. The contribution of this paper is twofold. First, we show that image registration can be formulated as a compression problem. Second, we demonstrate the good performance of the similarity metric, introduced by Li et al., in image registration. Two different approaches for the computation of this similarity metric are described: the Kolmogorov version, computed using standard real-world compressors, and the Shannon version, calculated from an estimation of the entropy rate of the images.
2014 Ieee International Conference on Image Processing, Oct 27, 2014
Computers and Graphics, Aug 1, 2008
Lecture Notes in Computer Science, 2000
... 31. Conturo, TE, Lori, NF, Cull, TS, Akbudak, E., Snyder, AZ, Shimony, JS, McKinstry, RC, Bur... more ... 31. Conturo, TE, Lori, NF, Cull, TS, Akbudak, E., Snyder, AZ, Shimony, JS, McKinstry, RC, Burton, H., Raichle, ME: Tracking neuronal fiber pathways in the ... 34. AK Jain , MN Murty , PJ Flynn, Data clustering: a review, ACM Computing Surveys (CSUR), v.31 n.3, p.264-323, Sept. ...
Proceedings Spring Conference on Computer Graphics, 2000