Combinatorics of a fractal tiling family

In this paper, we propose to enumerate all different configurations belonging to a specific class of fractals: A binary initial tile is selected and a finite recursive tiling process is engaged to produce auto-similar binary patterns. For each initial tile choice the number of possible configurations is finite. This combinatorial problem recalls the famous Escher tiling problem [2]. By using the Burnside lemma we show that there are exactly 232 really different fractals when the initial tile is a particular 2x2 matrix. Partial results are also presented in the 3x3 case when the initial tile presents some symmetry properties

Smartphone-based Thermal Imaging System for Diabetic Foot Ulcer Assessment

International audienceThis research work is part of the STANDUP project http://www.standupproject.eu/ dedicated to improve diabetic foot ulcer prevention and treatment of the plantar foot surface using smartphone-embedded thermal imaging system. The aim of this preliminary work is to build an ulcer assessment tool based on a smartphone and an IR thermal camera. The proposed system represents a practical tool for accurate DFU healing assessment, combining color and thermal information in a single user-friendly system. To ensure robust tissue identification, an annotation software was developed based on SLIC superpixel segmentation algorithm. The tool thus developed allows clinicians to achieve objective and accurate tissue identification and annotation. The proposed system could serve as an intelligent telemedicine system to be deployed by clinicians at hospitals and healthcare centers for more accurate diagnosis of diabetic foot ulcers

Implementation of a Knowledge Management Methodology based on Ontologies :Case of Tourism

in this paper, we suggest a methodology of knowledge management that makes use of the new possibilities offered by semantic web technologies and covers the various stages of the project life cycle. In fact, with this new vision of ontologies and semantic web, it is important to provide a strong methodological support in order to develop complex ontology-based systems

New Blended Learning Strategy Based on Flipped-Learning for Vocational Work-Linked Training

In a changing Moroccan educational landscape, Addressing teaching development needs is becoming a major issue in vocational work-linked Training. In this context, this paper present a new blended learning strategy based on the flipped classroom, using a social learning platform as support. Through this strategy, we increased the time dedicated to regulation by the implementation of a self-regulation and a co-regulation online in first time, and other regulation in classroom. The result showed that this strategy guides and increases the time of initial training, and improve the efficiency, performance of student teachers while supporting teaching needs and self-learning skills. Keywords: Blended learning, flipped learning, vocational work-linked Trainin

An elementary proof of the Syracuse conjecture

Syracuse conjecture stated that all positive integer sequences ${(T_n)}_{n\geq0}$ defined by $T_{n+1}=\frac{T_n}{2}$ if $T_n$ is even and $T_{n+1}=\frac{3*T_n+1}{2}$ if $T_n$ is odd, finishes always by taking successively the value 1 and 2. A formal proof of the conjecture is lacking so far in spite of various approaches to the problem. In this paper, we establish an elementary proof, based on two complementary approaches: The first is an arithmetic formulation which allows identifying Syracuse sequences to perturbations of rational powers sequences and, equivalently, to modifications of Sturmian words associated to them. The second is a visualization of Syracuse sequences as binary cellular automata, which when expressed in gray code, leads to the appearance of a tree structure with coalescing branches. We prove that the modification of the Sturmian words provoked by Syracuse sequences imposes the fusion of all the branches and this establishes the famous conjecture. Keywords: Collatz problem, 3x+1 problem, Sturmian words, Cellular automata, Gray code

Smartphone-based Thermal Imaging System for Diabetic Foot Ulcer Assessment

International audienceThis research work is part of the STANDUP project http://www.standupproject.eu/ dedicated to improve diabetic foot ulcer prevention and treatment of the plantar foot surface using smartphone-embedded thermal imaging system. The aim of this preliminary work is to build an ulcer assessment tool based on a smartphone and an IR thermal camera. The proposed system represents a practical tool for accurate DFU healing assessment, combining color and thermal information in a single user-friendly system. To ensure robust tissue identification, an annotation software was developed based on SLIC superpixel segmentation algorithm. The tool thus developed allows clinicians to achieve objective and accurate tissue identification and annotation. The proposed system could serve as an intelligent telemedicine system to be deployed by clinicians at hospitals and healthcare centers for more accurate diagnosis of diabetic foot ulcers

Improved Spread Spectrum Watermarking Based on Wavelet Dominant Coefficients

International audienc

Image Watermarking between Conventional and Learning-Based Techniques: A Literature Review

Currently, most transactions and exchanges are conducted through the Internet thanks to technological tools, running the risk of the falsification and distortion of information. This is due to the massive demand for the virtual world and its easy access to anyone. Image watermarking has recently emerged as one of the most important areas for protecting content and enhancing durability and resistance to these kinds of attacks. However, there is currently no integrated technology able to repel all possible kinds of attacks; the main objective of each technology remains limited to specific types of applications, meaning there are multiple opportunities to contribute to the development of this field. Recently, the image watermarking field has gained significant benefits from the sudden popularity of deep learning and its outstanding success in the field of information security. Thus, in this article, we will describe the bridge by which the watermarking field has evolved from traditional technology to intelligent technologies based on deep learning