Rearrangements and Convexity of Level Sets in PDE
Author : Bernhard Kawohl
Publisher : Springer
Page : 141 pages
File Size : 29,46 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 354039639X
PDE and Level Sets
Author : Swamy Laxminarayan
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 33,56 MB
Release : 2006-04-11
Category : Technology & Engineering
ISBN : 0306479303
Book Description
PDE & Level Sets: Algorithmic Approaches to Static & Motion Imagery is specially dedicated to the segmentation of complex shapes from the field of imaging sciences using level sets and PDEs. It covers the fundamentals of level sets, different kinds of concepts of both geodesic curvature flows and planar flows, as well as the power of incorporation of regional-statistics in level set framework. In covering this material, this book presents segmentation of object-in-motion imagery based on level sets in eigen analysis framework, while also presenting classical problems of boundary completion in cognitive images, like the pop-up of subjective contours in the famous triangle of Kanizsa using surface evolution framework, or the mean curvature evolution of a graph with respect to the Riemannian metric induced by the image. All results are presented for modal completion of cognitive objects with missing boundaries.
Level Set Methods and Fast Marching Methods
Author : J. A. Sethian
Publisher : Cambridge University Press
Page : 404 pages
File Size : 34,58 MB
Release : 1999-06-13
Category : Computers
ISBN : 9780521645577
Book Description
This new edition of Professor Sethian's successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries; rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.
Level Set Methods and Dynamic Implicit Surfaces
Author : Stanley Osher
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 31,51 MB
Release : 2006-04-06
Category : Mathematics
ISBN : 0387227466
Book Description
Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and Fedkiw; Osher and Fedkiw are internationally well-known researchers in this area
Geometry of PDEs and Related Problems
Author : Xavier Cabré
Publisher : Springer
Page : 207 pages
File Size : 46,57 MB
Release : 2018-10-03
Category : Mathematics
ISBN : 3319951866
Book Description
The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19–23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics.
Recent Advances in Scientific Computing and Partial Differential Equations
Author : S.-Y. Cheng
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 26,93 MB
Release : 2003
Category : Mathematics
ISBN : 0821831550
Book Description
The volume is from the proceedings of the international conference held in celebration of Stanley Osher's sixtieth birthday. It presents recent developments and exciting new directions in scientific computing and partial differential equations for time dependent problems and its interplay with other fields, such as image processing, computer vision and graphics. Over the past decade, there have been very rapid developments in the field. This volume emphasizes the strong interaction of advanced mathematics with real-world applications and algorithms. The book is suitable for graduate students and research mathematicians interested in scientific computing and partial differential equations.
Geometric Level Set Methods in Imaging, Vision, and Graphics
Author : Stanley Osher
Publisher : Springer Science & Business Media
Page : 523 pages
File Size : 14,15 MB
Release : 2007-05-08
Category : Computers
ISBN : 0387218106
Book Description
Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of survey chapters from the leading researchers in the field. The applications of the methods are emphasized.
Future Visions on Biomedicine and Bioinformatics 2
Author : Lodewijk Bos
Publisher : Springer Science & Business Media
Page : 108 pages
File Size : 10,57 MB
Release : 2011-07-11
Category : Technology & Engineering
ISBN : 3642195547
Book Description
Swamy Laxminarayan was an outstanding researcher active in many diverse fields of science and technology. He was one of the most prominent biomedical scientists and his ideas influenced the Biomedical Technology substantially. This book tries to provide an overview on the multiple achievements of Swamy Laxminarayan. It presents a collection of his most outstanding publications and an overview on his outstanding life. This Volume is the second part of the liber amicorum in Memory of Swamy Laxminarayan.
Biomedical Image Analysis and Machine Learning Technologies: Applications and Techniques
Author : Gonzalez, Fabio A.
Publisher : IGI Global
Page : 390 pages
File Size : 19,59 MB
Release : 2009-12-31
Category : Computers
ISBN : 1605669571
Book Description
Medical images are at the base of many routine clinical decisions and their influence continues to increase in many fields of medicine. Since the last decade, computers have become an invaluable tool for supporting medical image acquisition, processing, organization and analysis. Biomedical Image Analysis and Machine Learning Technologies: Applications and Techniques provides a panorama of the current boundary between biomedical complexity coming from the medical image context and the multiple techniques which have been used for solving many of these problems. This innovative publication serves as a leading industry reference as well as a source of creative ideas for applications of medical issues.
Level Set Method in Medical Imaging Segmentation
Author : Ayman El-Baz
Publisher : CRC Press
Page : 415 pages
File Size : 20,96 MB
Release : 2019-06-26
Category : Medical
ISBN : 135137303X
Book Description
Level set methods are numerical techniques which offer remarkably powerful tools for understanding, analyzing, and computing interface motion in a host of settings. When used for medical imaging analysis and segmentation, the function assigns a label to each pixel or voxel and optimality is defined based on desired imaging properties. This often includes a detection step to extract specific objects via segmentation. This allows for the segmentation and analysis problem to be formulated and solved in a principled way based on well-established mathematical theories. Level set method is a great tool for modeling time varying medical images and enhancement of numerical computations.
