Variational Regularization Of 3d Data
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Variational Regularization Of 3d Data
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Author : Hebert Montegranario
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-14
Variational Regularization Of 3d Data written by Hebert Montegranario and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Computers categories.
Variational Regularization of 3D Data provides an introduction to variational methods for data modelling and its application in computer vision. In this book, the authors identify interpolation as an inverse problem that can be solved by Tikhonov regularization. The proposed solutions are generalizations of one-dimensional splines, applicable to n-dimensional data and the central idea is that these splines can be obtained by regularization theory using a trade-off between the fidelity of the data and smoothness properties. As a foundation, the authors present a comprehensive guide to the necessary fundamentals of functional analysis and variational calculus, as well as splines. The implementation and numerical experiments are illustrated using MATLAB®. The book also includes the necessary theoretical background for approximation methods and some details of the computer implementation of the algorithms. A working knowledge of multivariable calculus and basic vector and matrix methods should serve as an adequate prerequisite.
Handbook Of Variational Methods For Nonlinear Geometric Data
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Author : Philipp Grohs
language : en
Publisher: Springer Nature
Release Date : 2020-04-03
Handbook Of Variational Methods For Nonlinear Geometric Data written by Philipp Grohs and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-03 with Mathematics categories.
This book covers different, current research directions in the context of variational methods for non-linear geometric data. Each chapter is authored by leading experts in the respective discipline and provides an introduction, an overview and a description of the current state of the art. Non-linear geometric data arises in various applications in science and engineering. Examples of nonlinear data spaces are diverse and include, for instance, nonlinear spaces of matrices, spaces of curves, shapes as well as manifolds of probability measures. Applications can be found in biology, medicine, product engineering, geography and computer vision for instance. Variational methods on the other hand have evolved to being amongst the most powerful tools for applied mathematics. They involve techniques from various branches of mathematics such as statistics, modeling, optimization, numerical mathematics and analysis. The vast majority of research on variational methods, however, is focused on data in linear spaces. Variational methods for non-linear data is currently an emerging research topic. As a result, and since such methods involve various branches of mathematics, there is a plethora of different, recent approaches dealing with different aspects of variational methods for nonlinear geometric data. Research results are rather scattered and appear in journals of different mathematical communities. The main purpose of the book is to account for that by providing, for the first time, a comprehensive collection of different research directions and existing approaches in this context. It is organized in a way that leading researchers from the different fields provide an introductory overview of recent research directions in their respective discipline. As such, the book is a unique reference work for both newcomers in the field of variational methods for non-linear geometric data, as well as for established experts that aim at to exploit new research directions or collaborations. Chapter 9 of this book is available open access under a CC BY 4.0 license at link.springer.com.
Performance Driven Surrogate Modeling Of High Frequency Structures
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Author : Slawomir Koziel
language : en
Publisher: Springer Nature
Release Date : 2020-02-19
Performance Driven Surrogate Modeling Of High Frequency Structures written by Slawomir Koziel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-19 with Technology & Engineering categories.
This book discusses surrogate modeling of high-frequency structures including antenna and microwave components. The focus is on constrained or performance-driven surrogates. The presented techniques aim at addressing the limitations of conventional modeling methods, pertinent to the issues of dimensionality and parameter ranges that need to be covered by the surrogate to ensure its design utility. Within performance-driven methodologies, mitigation of these problems is achieved through appropriate confinement of the model domain, focused on the regions promising from the point of view of the relevant design objectives. This enables the construction of reliable surrogates at a fraction of cost required by conventional methods, and to accomplish the modeling tasks where other techniques routinely fail. The book provides a broad selection of specific frameworks, extensively illustrated using examples of real-world microwave and antenna structures along with numerous design examples. Furthermore, the book contains introductory material on data-driven and physics-based surrogates. The book will be useful for the readers working in the area of high-frequency electronics, including microwave engineering, antenna design, microwave photonics, magnetism, especially those that utilize electromagnetic (EM) simulation models in their daily routines. Covers performance-driven and constrained modeling methods, not available in other books to date; Discusses of a wide range of practical case studies including a variety of microwave and antenna structures; Includes design applications of the presented modeling frameworks, including single- and multi-objective parametric optimization.
Imaging Life
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Author : Gary C. Howard
language : en
Publisher: Oxford University Press
Release Date : 2014-07-30
Imaging Life written by Gary C. Howard and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-30 with Science categories.
This volume provides an overview of a variety of approaches to biological image analysis, which allow for the study of living organisms at all levels of complexity and organization. These organisms range from individual macromolecules to subcellular and cellular volumes, tissues and microbial communities. Such a "systems biology" understanding of life requires the combination of a variety of imaging techniques, and with it an in-depth understanding of their respective strengths and limitations, as well as their intersection with other techniques. Howard, Brown, and Auer show us that the integration of these imaging techniques will allow us to overcome the reductionist approach to biology that dominated the twentieth century, which was aimed at examining the physical and chemical properties of life's constituents, one macromolecule at a time. However, while based on the laws of physics and chemistry, life is not simply a set of chemical reactions and physical forces; it features an exquisite spatiotemporal organization that allows an inconceivably large number of chemical processes to coexist, refined by billions of years of evolutionary experimentation. And yet, many fundamental questions remain largely unanswered; Imaging Life argues that we are just now beginning to address the spatiotemporal organizational component of living processes. "Imaging" is needed in order to reveal the spatiotemporal relationships between components, and thus to understand organizational guiding principles of living systems. Only through imaging will we be able to decipher the mechanisms and the marvelous organization that enable and sustain the mystery of life. Imaging Life shows us how biology is beginning to do just that.
Surrogate Modeling For High Frequency Design Recent Advances
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Author : Slawomir Koziel
language : en
Publisher: World Scientific
Release Date : 2022-03-04
Surrogate Modeling For High Frequency Design Recent Advances written by Slawomir Koziel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-04 with Technology & Engineering categories.
Contemporary high-frequency engineering design heavily relies on full-wave electromagnetic (EM) analysis. This is primarily due to its versatility and ability to account for phenomena that are important from the point of view of system performance. Unfortunately, versatility comes at the price of a high computational cost of accurate evaluation. Consequently, utilization of simulation models in the design processes is challenging although highly desirable. The aforementioned problems can be alleviated by means of surrogate modeling techniques, the most popular of which are data-driven models. Although a large variety of methods are available, they are all affected by the curse of dimensionality. This is especially pronounced in high-frequency electronics, where typical system responses are highly nonlinear. Construction of practically useful surrogates covering wide ranges of parameters and operating conditions is a considerable challenge.Surrogate Modeling for High-Frequency Design presents a selection of works representing recent advancements in surrogate modeling and their applications to high-frequency design. Some chapters provide a review of specific topics such as neural network modeling of microwave components, while others describe recent attempts to improve existing modeling methodologies. Furthermore, the book features numerous applications of surrogate modeling methodologies to design optimization and uncertainty quantification of antenna, microwave, and analog RF circuits.
Computer Vision Eccv 2018
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Author : Vittorio Ferrari
language : en
Publisher: Springer
Release Date : 2018-10-05
Computer Vision Eccv 2018 written by Vittorio Ferrari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-05 with Computers categories.
The sixteen-volume set comprising the LNCS volumes 11205-11220 constitutes the refereed proceedings of the 15th European Conference on Computer Vision, ECCV 2018, held in Munich, Germany, in September 2018.The 776 revised papers presented were carefully reviewed and selected from 2439 submissions. The papers are organized in topical sections on learning for vision; computational photography; human analysis; human sensing; stereo and reconstruction; optimization; matching and recognition; video attention; and poster sessions.
Pattern Recognition
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Author : Gernot A. Fink
language : en
Publisher: Springer Nature
Release Date : 2019-10-24
Pattern Recognition written by Gernot A. Fink and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-24 with Computers categories.
This book constitutes the proceedings of the 41st DAGM German Conference on Pattern Recognition, DAGM GCPR 2019, held in Dortmund, Germany, in September 2019. The 43 revised full papers presented were carefully reviewed and selected from 91 submissions. The German Conference on Pattern Recognition is the annual symposium of the German Association for Pattern Recognition (DAGM). It is the national venue for recent advances in image processing, pattern recognition, and computer vision and it follows the long tradition of the DAGM conference series.
Variational Regularization For Systems Of Inverse Problems
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Author : Richard Huber
language : en
Publisher: Springer
Release Date : 2019-02-14
Variational Regularization For Systems Of Inverse Problems written by Richard Huber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-14 with Mathematics categories.
Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientific fields. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their specific structure. Such an approach allows to choose the regularization weights of each subproblem individually with respect to the corresponding noise levels and degrees of ill-posedness.
Rainbow Of Computer Science
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Author : Cristian S. Calude
language : en
Publisher: Springer
Release Date : 2011-04-28
Rainbow Of Computer Science written by Cristian S. Calude and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-28 with Computers categories.
This book is dedicated to Hermann Maurer on the occasion of his 70th birthday. The title word Rainbow reflects the beauty and variety of the achievements of this outstanding scientist, and also the diversity and depth of current research in computer science. The high admiration that Professor Maurer enjoys in the computer science community all over the world was witnessed by the enthusiastic response received to the request to contribute to this book. The contributors are leading researchers, also representing the diversity of computer science. The research areas included in the book range from Automata, Formal Languages and Computability to various aspects of the Practice of Computer Science, as well as from Algorithmics to Learning. The book consists of a brief Preface describing the achievements of Professor Maurer, followed by twenty articles roughly grouped together according to their topics. Most of the articles are written in a style understandable to a wider audience. The book is useful to anyone interested in recent developments in computer science.
Medical Image Computing And Computer Assisted Intervention Miccai 2005
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Author : James Duncan
language : en
Publisher: Springer
Release Date : 2005-09-27
Medical Image Computing And Computer Assisted Intervention Miccai 2005 written by James Duncan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-27 with Computers categories.