Principal aims
The laboratory was established by a group of mathematicians interested in developing techniques and models for applications. It brings together a set of experiences and skills, each very different from each other, to address a wide range of problems. The research activities of the laboratory include different scientific sectors of Pure and Applied Mathematics: Algebra and Geometry MAT/03, MAT/02 and, Mathematical Analysis, MAT/05, Numerical Analysis MAT/08 and their interactions with different fields of Engineering: Transportation, Topography, Electronics, Information and Communication Technology. The laboratory works on developing algorithms and programming codes related to numerical experimental data. In the context of the approximation of experimental data, the main themes include: the theory and applications of wavelet functions, schemes for the construction of orthogonal and biorthogonal wavelet filters, wavelet analysis of signals and images in one or more channels, applications to problems of data processing: denoising, compression, edge detection.
Research activities
The problems of pure and applied mathematics are studied using numerical and symbolic software such as CoCoA, Macaulay, Singular, Normalize, Maple, Octave, Scilab. Work is carried out on computer algebra and cryptography, mathematical methods and models for signal and image processing, geometric modeling, development of algorithms and programming codes related to numerical experimental data; instrumental applications of mathematical problems of nonlinear elasticity and problems associated with micro-electric mechanical systems. We study the compression of images with the development of algorithms encoding / decoding based on wavelet analysis, the analysis of the performance of compression algorithms with different filter classes: orthogonal, biorthogonal, stationary, nonstationary, scalar, vector, matrix.
International relationships
The laboratory has carried out scientific collaborations with the following universities: University of Saga, University of Yamagata (Japan), CIMAT, Guanajuato, UNAM, Mexico City (Mexico), University of Leipzig, University of Hagen, University of Potsdam, University of Passau (Germany), Univ. ULCO, Calais, Univ Lille Nord de France, Calais (France), Ovidius University of Constanta (Romania), University of Vienna (Austria), Colorado State University (U.S.A).
Horizon 2020 topics
Information and Communication Technology, Funding Researcher: Mathematics transport; Smart, green and integrated transport, SSH research analyses the socio-economic aspects of transport, prospective studies and technology foresight; business model innovation; Secure societies – Protecting freedom and security of Europe and its citizens.
