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Geometric Partial Differential Equations and Image Analysis

2001-01-08 Computers
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Release : 2001-01-08
Genre : Computers
Kind : eBook
Book Rating : 751/5 ( reviews)

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Book Synopsis Geometric Partial Differential Equations and Image Analysis by : Guillermo Sapiro

Download or read book Geometric Partial Differential Equations and Image Analysis written by Guillermo Sapiro. This book was released on 2001-01-08. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practioners. It is intened to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

Geometry in Partial Differential Equations

1994 Mathematics
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Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : 074/5 ( reviews)

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Book Synopsis Geometry in Partial Differential Equations by : Agostino Prastaro

Download or read book Geometry in Partial Differential Equations written by Agostino Prastaro. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.

Geometric Analysis and Nonlinear Partial Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis Geometric Analysis and Nonlinear Partial Differential Equations by : Stefan Hildebrandt

Download or read book Geometric Analysis and Nonlinear Partial Differential Equations written by Stefan Hildebrandt. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.

Partial Differential Equations for Geometric Design

2011-08-24 Computers
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Release : 2011-08-24
Genre : Computers
Kind : eBook
Book Rating : 848/5 ( reviews)

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Book Synopsis Partial Differential Equations for Geometric Design by : Hassan Ugail

Download or read book Partial Differential Equations for Geometric Design written by Hassan Ugail. This book was released on 2011-08-24. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Partial Differential Equations (PDEs) which first emerged in the 18th century holds an exciting and special position in the applications relating to the mathematical modelling of physical phenomena. The subject of PDEs has been developed by major names in Applied Mathematics such as Euler, Legendre, Laplace and Fourier and has applications to each and every physical phenomenon known to us e.g. fluid flow, elasticity, electricity and magnetism, weather forecasting and financial modelling. This book introduces the recent developments of PDEs in the field of Geometric Design particularly for computer based design and analysis involving the geometry of physical objects. Starting from the basic theory through to the discussion of practical applications the book describes how PDEs can be used in the area of Computer Aided Design and Simulation Based Design. Extensive examples with real life applications of PDEs in the area of Geometric Design are discussed in the book.

Geometric Partial Differential Equations - Part I

2020-01-14 Mathematics
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Release : 2020-01-14
Genre : Mathematics
Kind : eBook
Book Rating : 045/5 ( reviews)

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Book Synopsis Geometric Partial Differential Equations - Part I by :

Download or read book Geometric Partial Differential Equations - Part I written by . This book was released on 2020-01-14. Available in PDF, EPUB and Kindle. Book excerpt: Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

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