1,721,053 research outputs found

    Error analysis of a Collocation method for numerically inverting a Laplace transform in case of real samples

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    In [S. Cuomo, L. D’Amore, A. Murli, M.R. Rizzardi, Computation of the inverse Laplace transform based on a collocation method which uses only real values, J. Comput. Appl. Math., 198 (1) (2007) 98–115] the authors proposed a Collocation method (C-method) for real inversion of Laplace transforms (Lt), based on the truncated Laguerre expansion of the inverse function. The computational kernel of a C-method is the solution of aVandermonde linear system, where the right hand side is obtained evaluating the Lt on the real axis. The Bjorck Pereira algorithm has been used for solving the Vandermonde linear system, providing a computable componentwise error bound on the solution. For an inversion problem on discrete data F is known on a pre-assigned set of points (we refer to these points as samples of F) only and the major challenge is to deal with a significative loss of information.A natural approach to overcome this intrinsic difficulty is to construct a suitable fitting model that approximates the given data. In this case, we show that such approach leads to a C-method with perturbed right hand side, and then we use again the Bjorck Pereira algorithm. Starting from the error introduced by the fitting model, we study its propagation in order to determine the maximum attainable accuracy on fN. Moreover we derive a computable error bound that allows to get the suitable value of the parameter N that gives the maximum attainable accuracy

    HIGH PERFORMANCE ALGORITHMS AND SOFTWARE FOR NONLINEAR OPTIMIZATION

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    Proc. of the Int. School of Mathematics G. Stampacchia, 33rd Workshop: High Performance Algorithms and Software for Nonlinear Optimization, Erice, Italy, 200

    SSVM 07 1st International Conference On Scale Space and Variational Methods in Computer Vision

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    First International Conference on Scale-Space and Variational Methods in Computer Vision. Ischia, Italy, May 30- June 2, 2007 This international conference is a joint edition of the 6th Scale Space and the 4th VLSM and it will be a first attempt to bring together two different communities with joint research interests, the one of scale space analysis and the one of variational, geometric and level set methods and their applications in image interpretation and understanding. Such a conference would serve several purposes: international researchers and students would be exposed to state-of-the-art research on mathematical, physical and computational aspects of imaging, computer vision, graphics and inverse problems with applications. Paper submission is open at the link: http://ssvm07.ciram.unibo.it/ssvm07_public/papersub.html Conference deadlines: Abstract submission: October 16th, 2006 Full paper submission: October 23rd, 2006 Notification of acceptance: January 15th, 2007 Final paper: February 15th, 2007 INVITED SPEAKERS Prof. Franco Brezzi University of Pavia, Italy Prof. Emmanuel Candes California Institute of Technology, USA Prof. Tomaso A. Poggio Massachusetts Institute of Technology, USA (To be Confirmed) GENERAL CO-CHAIRS and ORGANIZERS Fiorella Sgallari University of Bologna Italy Almerico Murli University of Naples Federico II, Italy Nikos Paragios Ecole Centrale de Paris, France CONFERENCE CHAIRS Alfred Bruckstein Technion IIT, Israel Bart ter Haar Romeny Eindhoven University of Technology, NL Guillermo Sapiro University of Minnesota, USA Joackim Weickert Saarland University, Germany For more details, see http://ssvm07.ciram.unibo.it/

    Scale Space and Variational Methods in Computer Vision

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    Preface Image processing, computation, robot and machine vision are terms that refer to automatic visual perception through intelligent processing of image content. Such a demand requires the development of appropriate mathematical models which reformulate the answer to the perception problem as the lowest potential of a specifically designed objective function. The development of such models capable of reproducing human vision is a long shot objective in the domain. Variational methods are a very popular selection to address a number of components of visual perception, while scale space methods introduce the notion of hierarchical representation of image content, or property often present in biological autonomous perception organisms. The First International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007) was an attempt to bring together two different communities with adjacent research interests, the one of scale-space analysis and the one of variational, geometric and level set (VLSM). Such a conference was a joint edition of the 4th VLSM and 6th Scale Space with aim to bring together various disciplines working in the area of visual perception (mathematicians, physicists, computer science, computational science, etc.). It gathered the attention of an important international scientific crowd with submissions and presentations from approximately twenty countries (Austria, Australia, Belgium,Canada, Switzerland, China, Germany, Denmark, Spain, France, Greece, Honk Kong, Israel, India, Ireland, Italy, Japan, Korea, Mexico, The Netherlands, Norway, Poland, Sweden, Turkey, England, USA) from the leading scientists from the domain. We received 133 high-quality full paper double-blind submissions. Each paper was reviewed by at least three members of the Program Committee. These reviews were considered from the Area Chairs who finally proposed 79 to be accepted. We selected 24 manuscripts for an oral presentation and 55 for poster presentation. Both oral and poster papers attributed the same length of pages in the conference proceedings. Furthermore we invited keynote speakers who can provide valuable additional inspirations beyond the mainstream topics in scale-space analysis and variational methods. It was our pleaser to welcome Prof. Franco Brezzi of University of Pavia, Institute for Advanced Study and IMATI-CNR (Italy), Prof. Emmanuel Candes of California Institute of Technology, (USA) and Prof. Peter Schroder of California Institute of Technology, (USA) as keynote speakers. We would like to thank the authors for their contributions, and the members of the Program Committee for their time and valuable comments during the review process. We would like also to acknowledge the support of Christian Trocchi, Daniela Casaburi and Livia Marcellino for their help with the web-site and organization. Last but not least special thanks to Francesca Incensi for handling the submission/review/decisions and proceedings aspects of the conference. Finally we are grateful to the University of Bologna, the University of Naples Federico II, GNCS-INDAM, CINECA Bologna and CIRAM (Research Centre of Applied Mathematics) Bologna for their sponsorship. It is our belief that this conference will become a reference in the domain, and will contribute on the development of new ideas in the area of visual perception through processing images with mathematical models. May-June 2007, Fiorella Sgallari , Almerico Murli, Nikos Paragio
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