Digital geometry in image processing / / Jayanta Mukhopadhyay. [et al.]

• Record Nr.: UNINA9910954867903321
• Autore: Mukhopādhyāẏa Jaẏanta
• Pubbl/distr/stampa: Boca Raton, Fla., : CRC Press, : Taylor & Francis, 2013; Boca Raton, Fla. : , : Taylor & Francis, , 2013
• ISBN: 9780429086755; 042908675X; 9781466505681; 1466505680
• Edizione: [1st edition]
• Descrizione fisica: 1 online resource (316 p.)
• Collana: IIT kharagpur research monograph series
• Classificazione: COM012000MAT003000TEC015000
• Altri autori (Persone): MukhopādhyāẏaJaẏanta
• Disciplina: 006.601/516
• Soggetti: Image processing - Digital techniques - Mathematics; Geometry - Data processing
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front Cover; Contents; Series Preface; Preface; List of Figures; List of Tables; Symbol Description; Chapter 1 Digital Topology: Fundamentals; Chapter 2 Distance Functions in Digital Geometry; Chapter 3 Digitization of Straight Lines and Planes; Chapter 4 Digital Straightness and Polygonal Approximation; Chapter 5 Parametric Curve Estimation and Reconstruction; Chapter 6 Medial Axis Transform; Chapter 7 Modeling of a Voxelated Surface; References; Color Insert; Back Cover
• Sommario/riassunto: Exploring theories and applications developed during the last 30 years, Digital Geometry in Image Processing presents a mathematical treatment of the properties of digital metric spaces and their relevance in analyzing shapes in two and three dimensions. Unlike similar books, this one connects the two areas of image processing and digital geometry, highlighting important results of digital geometry that are currently used in image analysis and processing. The book discusses different digital geometries in multi-dimensional integral coordinate spaces. It also describes interesting properties of

PGD-Based Modeling of Materials, Structures and Processes / / by Francisco Chinesta, Elías Cueto

• Record Nr.: UNINA9910299717403321
• Autore: Chinesta Francisco
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
• ISBN: 3-319-06182-8
• Edizione: [1st ed. 2014.]
• Descrizione fisica: 1 online resource (226 p.)
• Collana: ESAFORM Bookseries on Material Forming, , 2198-9915
• Disciplina: 003.3
• Soggetti: Mechanics, Applied; Solids; Mathematical models; Manufactures; Building materials; Solid Mechanics; Mathematical Modeling and Industrial Mathematics; Machines, Tools, Processes; Structural Materials
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 1 Introduction -- 1.1 Recurrent issues in numerical simulation -- 1.2 Model reduction: information versus relevant information -- 1.3 PGD at a glance -- 1.4 Revisiting the simulation challenges -- 1.5 A brief state of the art on PGD-based model order reduction -- 2 Multiscale modelling -- 2.1 From quantum mechanics to kinetic theory -- 2.2 Advanced solvers for multi-dimensional models -- 2.3 Numerical examples -- 2.4 Conclusions -- 3 Homogenization -- 3.1 Homogenization of linear heterogenous models -- 3.2 Non-concurrent nonlinear homogenization -- 3.3 Numerical examples -- 3.4 Conclusions -- 4 Coupled models -- 4.1 Efficient coupling of global and local models -- 4.2 Fully globalized local models -- 4.3 Heterogeneous time integration -- 4.4 Numerical example -- 4.5 Discussion -- 5 Parametric models in evolving domains -- 5.1 Evolving domains issues -- 5.2 PGD in evolving domains -- 5.3 Separated ; representation constructor -- 5.4 Numerical test -- 5.5 Towards parametric modeling in evolving domains -- 5.6 Numerical test involving parametric modeling -- 5.7 Conclusions -- 6 Space separation -- 6.1 In-plane/out-of-plane separated representation -- 6.2 Laminates -- 6.3 Conclusions -- 7 Process optimization -- 7.1 Parametric boundary conditions -- 7.2 Parametric modeling of pultrusion -- 7.3 Optimization strategy -- 7.4 Conclusion 8 Shape optimization -- 8.1 Introduction -- 8.2 Geometrical parameters as extra-coordinates -- 8.3 Numerical results -- 8.4 Conclusions -- 9 DDDAS -- 9.1 Introduction to DDDAS -- 9.2 PGD solution of a flowing process -- 9.3 Simulating a breakdown scenario -- 9.4 Post-processing in a smartphone -- 9.5 Conclusions -- 10 Inverse analysis -- 10.1 PGD based parameter identification -- 10.2 PGD based Cauchy’s problem -- 10.3 Parameter identification examples -- 10.4 Cauchy’s problem example -- 10.5 Conclusions -- 11 Tape placement -- 11.1 Parametric modeling -- 11.2 ATP thermal model -- 11.3 ATP mechanical modeling -- 11.4 Numerical results -- 11.5 Conclusions -- 12 Augmented learning -- 12.1 Towards augmented learning -- 12.2 Examples of augmented learning -- 12.3 Conclusions -- References -- Index.
• Sommario/riassunto: This book focuses on the development of a new simulation paradigm allowing for the solution of models that up to now have never been resolved and which result in spectacular CPU time savings (in the order of millions) that, combined with supercomputing, could revolutionize future ICT (information and communication technologies) at the heart of science and technology. The authors have recently proposed a new paradigm for simulation-based engineering sciences called Proper Generalized Decomposition, PGD, which has proved a tremendous potential in many aspects of forming process simulation. In this book a review of the basics of the technique is made, together with different examples of application.