Download or read book Principes physiques et outils math matiques pour le Traitement d Images written by Jean Louchet and published by Lulu.com. This book was released on 2020 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction au traitement math matique des images m thodes d terministes written by Maïtine Bergounioux and published by Springer. This book was released on 2015-02-20 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce cours est une introduction au traitement d'image mathématique déterministe. Les principales problématiques en traitement et analyse d’image y sont présentées: débruitage/filtrage/restauration, segmentation, rehaussement/défloutage, ainsi qu’un aperçu de quelques techniques d’acquisition. Les méthodes mathématiques utilisées ont essentiellement déterministes : transformation de Fourier, ondelettes, équations aux dérivées partielles, morphologie mathématique et méthodes variationnelles. Quelques applications y sont brièvement présentées pour illustrer le propos : la stéganographie, la compression et l’inpainting (ou désocclusion). Le livre comprend également un rappel des principales notions mathématiques utilisées (il se veut auto-suffisant) et la bibliographie abondante doit permettre au lecteur d’approfondir les techniques qui l’intéressent. Cet ouvrage s’adresse à des étudiants de MASTER, élèves-ingénieurs ou chercheurs désireux de comprendre ou d’approfondir les techniques mathématiques de base en traitement et analyse d’image. This course is an introduction to deterministic mathematical image processing. The main issues in processing and image analysis are presented: denoising, filtering, restoration, segmentation, enhancement and deblurring.There is also an overview of some acquisition techniques. Mathematical methods are essentially deterministic: Fourier transform, wavelets, partial differential equations, mathematical morphology and variational methods. Some applications are briefly presented to illustrate the topic, such as steganography, compression and inpainting. This self-contained book also includes a recap of the basic mathematical concepts used, and the extensive bibliography will enable readers to develop their skills. This book is intended for masters students, engineering students and researchers wanting to comprehend or deepen their understanding of thebasic mathematical techniques in processing and image analysis.
Download or read book Quelques mod les math matiques et algorithmes rapides pour le traitement d images written by Rémy Abergel and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans cette thèse, nous nous intéressons à différents modèles mathématiques de traitement d'images numériques dits de bas niveau. Si l'approche mathématique permet d'établir des modèles innovants pour traiter les images, ainsi que l ́étude rigoureuse des propriétés des images qu'ils produisent, ils impliquent parfois l'utilisation d'algorithmes très consommateurs de temps de calcul et de mémoire. Aussi, nous portons un soin particulier au développement d'algorithmes rapides à partir des modèles mathématiques considérés. Nous commençons par effectuer une présentation synthétique des méthodes mathématiques basées sur la dualité de Legendre-Fenchel permettant la minimisation d'énergies faisant intervenir la variation totale, fonctionnelle convexe nondifférentiable, ceci afin d'effectuer divers traitements sur les images numériques. Nous étudions ensuite un modèle de discrétisation de la variation totale inspiré de la théorie de l'échantillonnage de Shannon. Ce modèle, appelé ≪ variation totale Shannon ≫ permet un contrôle fin de la régularité des images sur une échelle sous-pixellique. Contrairement aux modèles de discrétisation classiques qui font appel à des schémas aux différences finies, nous montrons que l'utilisation de la variation totale Shannon permet de produire des images pouvant être facilement interpolées. Nous montrons également que la variation totale Shannon permet un gain conséquent en matière d'isotropie et ouvre la porte à de nouveaux modèles mathématiques de restauration. Après cela, nous proposons une adaptation du modèle TV-ICE (Iterated Conditional Expectations, proposé en 2014 par Louchet et Moisan) au cas du débruitage d'images en présence de bruit de Poisson. Nous démontrons d'une part que le schéma numérique issu de ce modèle consiste en un schéma de point fixe dont la convergence est linéaire, d'autre part que les images ainsi produites ne présentent pas d'effet de marche d'escalier (staircasing), contrairement aux images obtenues avec l'approche plus classique dite du maximum a posteriori. Nous montrons également que le modèle Poisson TV-ICE ainsi établi repose sur l'évaluation numérique d'une fonction gamma incomplète généralisée nécessitant une prise en compte fine des erreurs numériques inhérentes au calcul en précision finie et pour laquelle nous proposons un algorithme rapide permettant d'atteindre une précision quasi-optimale pour une large gamme de paramètres. Enfin, nous reprenons les travaux effectués par Primet et Moisan en 2011 concernant l'algorithme astre (A contrario Smooth TRajectory Extraction) dédié à la détection de trajectoires régulières à partir d'une séquence de nuages de points, ces points étant considérés comme issus d'une détection préalable dans une 3 séquence d'images. Si l'algorithme astre permet d'effectuer une détection optimale des trajectoires régulières au sens d'un critère a contrario, sa complexité en O(K2) (où K désigne le nombre d'images de la séquence) s'avère être rédhibitoire pour les applications nécessitant le traitement de longues séquences. Nous proposons une variante de l'algorithme astre appelée cutastre qui préserve les performances de l'algorithme astre ainsi que certaines de ses propriétés théoriques, tout en présentant une complexité en O(K).
Download or read book Outils de traitement d images adapt s au traitement d images omnidirectionnelles written by Stéphanie Bigot-Marchand and published by . This book was released on 2008 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse est consacrée au développement d'outils de traitement adaptés aux images omnidirectionnelles grâce à la "sphère équivalente". En effet, l'utilisation directe de méthodes classiques (c'est-à-dire appropriées aux images réelles) sur des images omnidirectionnelles introduit des erreurs car elle ne prend pas en considération les distorsions introduites par le miroir. Projeter les images omnidirectionnelles sur cette sphère offre l'avantage de pouvoir effectuer les différents traitements sur un espace plus uniforme. Dans un premier temps, nous rappelons le principe de la vision omnidirectionnelle, puis nous nous attardons sur un capteur en particulier, celui composé d'une caméra observant un miroir parabolique. Nous donnons ensuite les éléments de démonstration pour justifier l'existence de la "sphère équivalente". Dans un second temps, nous présentons différents outils mathématiques (harmoniques sphériques, convolution sphérique...) nécessaires au développement de nos méthodes sphériques. Nous proposons ensuite la construction de plusieurs traitements bas-niveaux adaptés aux images sphériques : débruitage et détection de contours. Ces différentes méthodes ont fait l'objet de tests afin de déterminer leurs avantages par rapport aux "méthodes classiques" de traitements d'images omnidirectionnelles. Ces comparaisons ont mis en évidence l'avantage de ces "méthodes sphériques" qui offrent un traitement uniforme sur toute l'image.
Download or read book Imagerie Mathematique written by Jaafar Belaid Lamia and published by Omniscriptum. This book was released on 2015-06-15 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est issu de quelques travaux de recherche et porte sur la resolution de certains problemes en traitement d'images. Nul ne peut nier que le developpement dans ce domaine est toujours en pleine expansion avec une multitude d'approches utilisees pour repondre aux diverses applications qui ne font que s'accroitre et se diversifier. Par ailleurs, la progression au niveau de la rapidite et de la complexite des algorithmes demeure un sujet de grand interet. Au-dela de la presentation generale de l'imagerie mathematique et ses applications, l'objectif de ce manuscrit est de presenter certaines methodes pour resoudre des problemes classiques en traitement d'images, tels que des problemes de restauration, de detection de contours, de classification et de segmentation. Notre but est de pouvoir adapter ces methodes a des problemes reels, soit par la nature des applications etudiees, soit par l'efficacite et la rapidite des algorithmes proposes. Cet ouvrage s'adresse aux etudiants de Master et de Doctorat qui travaillent sur ce sujet, et peut etre utile pour les chercheurs en Mathematiques ou en d'autres disciplines interesses par le traitement d'images."
Download or read book Compte rendu 23e Symposium Canadien Sur la T l d tection written by and published by . This book was released on 2001 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Les Ondelettes en 1989 written by Pierre G. Lemarie and published by Springer. This book was released on 2006-11-14 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the recent theory of wavelet transforms and its applications in various fields both within mathematics (singular integrals, localization of singularities) and beyond it, in computer vision, the physics of fractals, time-frequency analysis.
Download or read book Canadian Journal of Electrical and Computer Engineering written by and published by . This book was released on 1994 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetry written by Hermann Weyl and published by Princeton University Press. This book was released on 2015-07-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.
Download or read book Quantum Mechanics Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Download or read book The Natures of Maps written by Denis Wood and published by . This book was released on 2008 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors demonstrate that maps of the natural, physical world are just as culturally and socially constructed as any map of property or territory.
Download or read book Challenges in Basic Mathematics Education written by and published by UNESCO. This book was released on 2012 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Maps Work written by Alan M. MacEachren and published by Guilford Press. This book was released on 2004-06-21 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in paperback for the first time, this classic work presents a cognitive-semiotic framework for understanding how maps work as powerful, abstract, and synthetic spatial representations. Explored are the ways in which the many representational choices inherent in mapping interact with information processing and knowledge construction, and how the resulting insights can be used to make informed symbolization and design decisions. A new preface to the paperback edition situates the book within the context of contemporary technologies. As the nature of maps continues to evolve, Alan MacEachren emphasizes the ongoing need to think systematically about the ways people interact with and use spatial information.
Download or read book Local Approximation Techniques in Signal and Image Processing written by Vladimir I︠A︡kovlevich Katkovnik and published by SPIE-International Society for Optical Engineering. This book was released on 2006 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a wide class of novel and efficient adaptive signal processing techniques developed to restore signals from noisy and degraded observations. These signals include those acquired from still or video cameras, electron microscopes, radar, X-rays, or ultrasound devices, and are used for various purposes, including entertainment, medical, business, industrial, military, civil, security, and scientific. In many cases useful information and high quality must be extracted from the imaging. However, often raw signals are not directly suitable for this purpose and must be processed in some way. Such processing is called signal reconstruction. This book is devoted to a recent and original approach to signal reconstruction based on combining two independent ideas: local polynomial approximation and the intersection of confidence interval rule.
Download or read book Government Reports Annual Index written by and published by . This book was released on 1993 with total page 1832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorial Enumeration written by Ian P. Goulden and published by Courier Corporation. This book was released on 2004-06-23 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.
Download or read book Time Frequency Time Scale Analysis written by Patrick Flandrin and published by Academic Press. This book was released on 1998-09-29 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-scale analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory. - Detailed coverage of both linear and quadratic solutions - Various techniques for both random and deterministic signals
