Mathematical Morphology and Its Applications to Image and Signal Processing

Mathematical Morphology and Its Applications to Image and Signal Processing PDF Author: Petros Maragos
Publisher: Springer Science & Business Media
ISBN: 9780792397335
Category : Computers
Languages : en
Pages : 498

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Book Description
Mathematical morphology (MM) is a powerful methodology for the quantitative analysis of geometrical structures. It consists of a broad and coherent collection of theoretical concepts, nonlinear signal operators, and algorithms aiming at extracting, from images or other geometrical objects, information related to their shape and size. Its mathematical origins stem from set theory, lattice algebra, and integral and stochastic geometry. MM was initiated in the late 1960s by G. Matheron and J. Serra at the Fontainebleau School of Mines in France. Originally it was applied to analyzing images from geological or biological specimens. However, its rich theoretical framework, algorithmic efficiency, easy implementability on special hardware, and suitability for many shape- oriented problems have propelled its widespread diffusion and adoption by many academic and industry groups in many countries as one among the dominant image analysis methodologies. The purpose of Mathematical Morphology and its Applications to Image and Signal Processing is to provide the image analysis community with a sampling from the current developments in the theoretical (deterministic and stochastic) and computational aspects of MM and its applications to image and signal processing. The book consists of the papers presented at the ISMM'96 grouped into the following themes: Theory Connectivity Filtering Nonlinear System Related to Morphology Algorithms/Architectures Granulometries, Texture Segmentation Image Sequence Analysis Learning Document Analysis Applications

Mathematical Morphology and Its Applications to Image and Signal Processing

Mathematical Morphology and Its Applications to Image and Signal Processing PDF Author: Petros Maragos
Publisher: Springer Science & Business Media
ISBN: 9780792397335
Category : Computers
Languages : en
Pages : 498

Get Book Here

Book Description
Mathematical morphology (MM) is a powerful methodology for the quantitative analysis of geometrical structures. It consists of a broad and coherent collection of theoretical concepts, nonlinear signal operators, and algorithms aiming at extracting, from images or other geometrical objects, information related to their shape and size. Its mathematical origins stem from set theory, lattice algebra, and integral and stochastic geometry. MM was initiated in the late 1960s by G. Matheron and J. Serra at the Fontainebleau School of Mines in France. Originally it was applied to analyzing images from geological or biological specimens. However, its rich theoretical framework, algorithmic efficiency, easy implementability on special hardware, and suitability for many shape- oriented problems have propelled its widespread diffusion and adoption by many academic and industry groups in many countries as one among the dominant image analysis methodologies. The purpose of Mathematical Morphology and its Applications to Image and Signal Processing is to provide the image analysis community with a sampling from the current developments in the theoretical (deterministic and stochastic) and computational aspects of MM and its applications to image and signal processing. The book consists of the papers presented at the ISMM'96 grouped into the following themes: Theory Connectivity Filtering Nonlinear System Related to Morphology Algorithms/Architectures Granulometries, Texture Segmentation Image Sequence Analysis Learning Document Analysis Applications

Mathematical Morphology and Its Applications to Image Processing

Mathematical Morphology and Its Applications to Image Processing PDF Author: Jean Serra
Publisher: Springer Science & Business Media
ISBN: 9401110409
Category : Computers
Languages : en
Pages : 391

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Book Description
Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.

Mathematical Morphology

Mathematical Morphology PDF Author: Hugues Talbot
Publisher: CSIRO PUBLISHING
ISBN: 9780643068049
Category : Computers
Languages : en
Pages : 464

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Book Description
Provides a broad sampling of the most recent theoretical and practical developments in applications to image processing and analysis.

Traitement d'images numériques au moyen d'algorithmes utilisant la morphologie mathématique et la notion d'objet

Traitement d'images numériques au moyen d'algorithmes utilisant la morphologie mathématique et la notion d'objet PDF Author: Marc Van Droogenbroeck
Publisher:
ISBN:
Category :
Languages : fr
Pages : 228

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Book Description


Mathematical Morphology

Mathematical Morphology PDF Author: Laurent Najman
Publisher: John Wiley & Sons
ISBN: 1118600851
Category : Technology & Engineering
Languages : en
Pages : 407

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Book Description
Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures. This book presents an up-to-date treatment of mathematical morphology, based on the three pillars that made it an important field of theoretical work and practical application: a solid theoretical foundation, a large body of applications and an efficient implementation. The book is divided into five parts and includes 20 chapters. The five parts are structured as follows: Part I sets out the fundamental aspects of the discipline, starting with a general introduction, followed by two more theory-focused chapters, one addressing its mathematical structure and including an updated formalism, which is the result of several decades of work. Part II extends this formalism to some non-deterministic aspects of the theory, in particular detailing links with other disciplines such as stereology, geostatistics and fuzzy logic. Part III addresses the theory of morphological filtering and segmentation, featuring modern connected approaches, from both theoretical and practical aspects. Part IV features practical aspects of mathematical morphology, in particular how to deal with color and multivariate data, links to discrete geometry and topology, and some algorithmic aspects; without which applications would be impossible. Part V showcases all the previously noted fields of work through a sample of interesting, representative and varied applications.

Introduction au traitement mathématique des images - méthodes déterministes

Introduction au traitement mathématique des images - méthodes déterministes PDF Author: Maïtine Bergounioux
Publisher: Springer
ISBN: 3662465396
Category : Mathematics
Languages : fr
Pages : 255

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Book Description
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.

Transformation de Hough

Transformation de Hough PDF Author: Fouad Sabry
Publisher: One Billion Knowledgeable
ISBN:
Category : Computers
Languages : fr
Pages : 123

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Book Description
Qu'est-ce que la transformation de Hough La transformation de Hough est une technique d'extraction de caractéristiques utilisée dans l'analyse d'images, la vision par ordinateur et le traitement d'images numériques. Le but de la technique est de trouver des instances imparfaites d'objets dans une certaine classe de formes par une procédure de vote. Cette procédure de vote est effectuée dans un espace de paramètres, à partir duquel les objets candidats sont obtenus comme maxima locaux dans un espace dit accumulateur qui est explicitement construit par l'algorithme de calcul de la transformée de Hough. Comment vous en bénéficierez (I) Insights et validations sur les sujets suivants : Chapitre 1 : Transformation de Hough Chapitre 2 : Généralisé Transformation de Hough Chapitre 3 : Transformation de Hough randomisée Chapitre 4 : Transformation de Hough en cercle Chapitre 5 : Détection de ligne Chapitre 6 : Projection 3D Chapitre 7 : Équation paramétrique Chapitre 8 : Équation Chapitre 9 : Ellipse Chapitre 10 : Cissoide (II) Répondre aux principales questions du public sur la transformation hough. (III) Exemples concrets d'utilisation de la transformation hough dans de nombreux domaines. Qui ce livre s'adresse aux professionnels, aux étudiants de premier cycle et des cycles supérieurs, aux passionnés, aux amateurs et à ceux qui souhaitent aller au-delà des connaissances ou des informations de base pour tout type de transformation de Hough.

Numerical Geometry of Images

Numerical Geometry of Images PDF Author: Ron Kimmel
Publisher: Springer Science & Business Media
ISBN: 9780387955629
Category : Computers
Languages : en
Pages : 234

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Book Description
Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.

Conception d'algorithmes parallèles pour le traitement d'images utilisant la morphologie mathématique

Conception d'algorithmes parallèles pour le traitement d'images utilisant la morphologie mathématique PDF Author: Christophe Laurent
Publisher:
ISBN:
Category :
Languages : fr
Pages : 249

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Book Description
DANS LE DOMAINE DE LA COMPRESSION VIDEO, LES TECHNIQUES DE CODAGE DE SECONDE GENERATION PRENNENT EN COMPTE LES PROPRIETES DU SYSTEME VISUEL HUMAIN AFIN D'OBTENIR DES TAUX DE COMPRESSION SATISFAISANTS. OR, POUR L'OEIL HUMAIN, LA QUASI-TOTALITE DE L'INFORMATION EST CONTENUE DANS LE CONTOUR ET LA TEXTURE DES OBJETS PRESENTS DANS UNE SCENE. AINSI, DE NOMBREUSES TECHNIQUES DE CODAGE UTILISENT UNE ETAPE PRELIMINAIRE DE SEGMENTATION D'IMAGES AFIN DE DETECTER CES DIFFERENTS OBJETS. POUR UNE APPLICATION FINALE DE CODAGE, LA SEGMENTATION NE DOIT PAS FOURNIR UNE PARTITION EXACTE DE L'ESPACE MAIS UNE PARTITION POUVANT ETRE CODEE EFFICACEMENT TOUT EN ETANT PROCHE DES OBJETS REELS. DANS CES TRAVAUX, NOUS NOUS SOMMES INTERESSES AUX TECHNIQUES DE SEGMENTATION BASEES CODAGE UTILISANT DES OUTILS ISSUS DE LA MORPHOLOGIE MATHEMATIQUE. LA MORPHOLOGIE MATHEMATIQUE OFFRE EN EFFET UNE APPROCHE PARTICULIEREMENT PUISSANTE AU PROBLEME DE SEGMENTATION EN INTEGRANT NATURELLEMENT DES NOTIONS VISUELLES TELLES QUE LA FORME, LA TAILLE, LE CONTRASTE, ETC. MALHEUREUSEMENT, UNE APPLICATION DE SEGMENTATION MORPHOLOGIQUE DEMANDE UNE QUANTITE DE CALCUL IMPORTANTE ET NOUS PROPOSONS DONC DANS CETTE THESE DIFFERENTS ALGORITHMES MORPHOLOGIQUES PARALLELES POUVANT ETRE UTILISES DANS UN PROCESSUS DE SEGMENTATION. PARMI CES ALGORITHMES, ON TROUVE LES TRANSFORMATIONS MORPHOLOGIQUES ELEMENTAIRES, LES OPERATEURS MORPHOLOGIQUES CONNEXES BASES SUR UN PROCESSUS DE RECONSTRUCTION GEODESIQUE, L'ETIQUETAGE D'IMAGES ET LA TRANSFORMATION WATERSHED. CHACUN DE CES ALGORITHMES SE PRETE PLUS OU MOINS BIEN AU PARALLELISME ET NOUS AVONS PU CONSTATER QUE DANS CERTAINS CAS, DES TECHNIQUES PARALLELES AVANCEES (APPROCHE ASYNCHRONE, EQUILIBRAGE DE CHARGE, UTILISATION DE STRUCTURES DE DONNEES NON TRIVIALES) DEVAIENT ETRE MISES EN PLACE AFIN DE MASQUER L'IRREGULARITE DU PROBLEME. TOUS LES ALGORITHMES PROPOSES ONT ETE INTEGRES DANS UNE APPLICATION PARALLELE DE SEGMENTATION MORPHOLOGIQUE ET LES EXPERIMENTATIONS MENEES SUR UNE ARCHITECTURE PARALLELE DE TYPE IBM SP2 ONT MIS EN EVIDENCE DES PERFORMANCES TOUT A FAIT CONVAINCANTES.

Automatic Generation of Morphological Set Recognition Algorithms

Automatic Generation of Morphological Set Recognition Algorithms PDF Author: Robert Carl Vogt
Publisher:
ISBN:
Category : Computer algorithms
Languages : en
Pages : 292

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Book Description