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- Naveed Islam, William Puech, Robert Brouzet
- IWDW
- 2009

In this paper, we present a new method for sharing images between two parties exploiting homomorphic property of public key cryptosystem. With our method, we show that it is possible to multiply two encrypted images, to decrypt the resulted image and after to extract and reconstruct one of the two original images if the second original image is available.… (More)

a r t i c l e i n f o In this paper, we present a new approach for sharing images between l players by exploiting the additive and multiplicative homomorphic properties of two well-known public key cryptosystems, i.e. RSA and Paillier. Contrary to the traditional schemes, the proposed approach employs secret sharing in a way that limits the influence of the… (More)

- J. Rakotondralambo, G. Michaille, R. Brouzet, W. Puech
- 2008 First Workshops on Image Processing Theory…
- 2008

In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image… (More)

- Naveed Islam, William Puech, Khizar Hayat, Robert Brouzet
- IEEE 10th INTERNATIONAL CONFERENCE ON SIGNAL…
- 2010

Secret sharing between two or more parties, exploiting multiplicative homomorphic properties of RSA, may result in false data blocks during the extraction of message. This paper investigates factors that lead to such false blocks and suggest a controlled solution by analyzing their probability distribution. In this paper we prove that false blocks do exist… (More)

- Hassan Boualem, Robert Brouzet
- The American Mathematical Monthly
- 2012

We introduce a class of functions satisfying what we call the Almost-Near property, or briefly the (AN) property. The motivation of this investigation is provided by the phenomenon “almost implies near” which appears in many various situations. We study some elementary properties of these functions and develop several examples (such as polynomial functions,… (More)

- R. Brouzet, G. Michaille, W. Puech, J. Rakotondralambo
- 2010 IEEE 9th International Conference on…
- 2010

The main objective of this paper is to introduce and illustrate a new tool stemming from Young measure theory in order to capture concentrations, jump sign and gradient oscillations of sequences of SBV-functions. We show how this notion of measure can be applied for the analysis of approximating solutions of Mumford-Shah type energy functionals in the one… (More)

- Naveed Islam, William Puech, Robert Brouzet
- Media Forensics and Security
- 2011

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