Modeling Analysis And Visualization Of Anisotropy
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Modeling Analysis And Visualization Of Anisotropy
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Author : Thomas Schultz
language : en
Publisher: Springer
Release Date : 2017-10-14
Modeling Analysis And Visualization Of Anisotropy written by Thomas Schultz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-14 with Mathematics categories.
This book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools. As such, it differs substantially from conventional reference works, which are centered on a particular application. It covers the following topics: (i) the geometric structure of tensors, (ii) statistical methods for tensor field processing, (iii) challenges in mapping neural connectivity and structural mechanics, (iv) processing of uncertainty, and (v) visualizing higher-order representations. In addition to original research contributions, it provides insightful reviews. This multidisciplinary book is the sixth in a series that aims to foster scientific exchange between communities employing tensors and other higher-order representations of directionally dependent data. A significant number of the chapters were co-authored by the participants of the workshop titled Multidisciplinary Approaches to Multivalued Data: Modeling, Visualization, Analysis, which was held in Dagstuhl, Germany in April 2016. It offers a valuable resource for those working in the field of multi-directional data, vital inspirations for the development of new models, and essential analysis and visualization techniques, thus furthering the state-of-the-art in studies involving anisotropy.
Anisotropy Across Fields And Scales
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Author : Evren Özarslan
language : en
Publisher: Springer Nature
Release Date : 2021-02-10
Anisotropy Across Fields And Scales written by Evren Özarslan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-10 with Mathematics categories.
This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018.
Computational Science Iccs 2021
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Author : Maciej Paszynski
language : en
Publisher: Springer Nature
Release Date : 2021-06-09
Computational Science Iccs 2021 written by Maciej Paszynski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-09 with Computers categories.
The six-volume set LNCS 12742, 12743, 12744, 12745, 12746, and 12747 constitutes the proceedings of the 21st International Conference on Computational Science, ICCS 2021, held in Krakow, Poland, in June 2021.* The total of 260 full papers and 57 short papers presented in this book set were carefully reviewed and selected from 635 submissions. 48 full and 14 short papers were accepted to the main track from 156 submissions; 212 full and 43 short papers were accepted to the workshops/ thematic tracks from 479 submissions. The papers were organized in topical sections named: Part I: ICCS Main Track Part II: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Applications of Computational Methods in Artificial Intelligence and Machine Learning; Artificial Intelligence and High-Performance Computing for Advanced Simulations; Biomedical and Bioinformatics Challenges for Computer Science Part III: Classifier Learning from Difficult Data; Computational Analysis of Complex Social Systems; Computational Collective Intelligence; Computational Health Part IV: Computational Methods for Emerging Problems in (dis-)Information Analysis; Computational Methods in Smart Agriculture; Computational Optimization, Modelling and Simulation; Computational Science in IoT and Smart Systems Part V: Computer Graphics, Image Processing and Artificial Intelligence; Data-Driven Computational Sciences; Machine Learning and Data Assimilation for Dynamical Systems; MeshFree Methods and Radial Basis Functions in Computational Sciences; Multiscale Modelling and Simulation Part VI: Quantum Computing Workshop; Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks and Machine Learning; Software Engineering for Computational Science; Solving Problems with Uncertainty; Teaching Computational Science; Uncertainty Quantification for Computational Models *The conference was held virtually.
See Through
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Author : Jochen Jankowai
language : en
Publisher: Linköping University Electronic Press
Release Date : 2024-12-13
See Through written by Jochen Jankowai and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with categories.
The problem of visualising multivariate data and tensor fields inherits its complexity from the data it targets. By definition, complex data is "hard to separate, analyse, or solve"1. This becomes evident through the fact that methods for "simple" data such as scalars and vectors do not trivially extend to multivariate data and tensors. In the light of increasing number of output variables from simulation models and measurements, this lack of methods leads to a limited choice in the analysis and to a lower fidelity of the analysis. In addition, split application of established methods to a subset of the data, for example the separate rendering of isosurfaces for the different scalar fields contained in multivariate data, brings about a number of challenges and pitfalls. In this work I present several approaches to extending existing methods for scalar field visualisation and analysis to multivariate data and, in some cases by extension, tensor fields. Specifically, I have investigated the extraction of isosurfaces from multivariate data, the topological analysis of multivariate data and tensor fields, and the design of transfer functions for tensor fields. Isosurfaces (contours) are a widely used visualisation modality. They can be used to intuitively highlight regions of interest and are the goto choice for taking snapshots during large-scale in-situ simulations to verify results. In domains such as meteorology where simulations yield a number of output variables for pressure, temperature, precipitation, etc., methods for visualising multivariate isosurfaces are needed. Feature level sets offer such a method by interpreting an isosurface as the result of an intersection of the isovalue with the data in the domain. From this, we expand the notion of isovalues, in this context called traits, and isosurfaces to arbitrary dimensionality. An intermediate product of the calculation of feature level sets is the distance field defining every data point’s distance towards the trait. Given this distance field, we compute the merge tree for it and thereby enable topological analysis of multivariate data. The choice of merge trees comes naturally as minima in the distance field correspond to regions closest to the trait. The concept of derived fields as input is also used in our approach to topological analysis of tensor fields. Special attention needs to be paid to the non-linear behaviour of derived vector and scalar fields. We use the field of eigenvectors derived from the tensor field to determine cells containing degenerate points in tensor fields and insert zero-valued points in the corresponding anisotropy field. This process yields a scalar field which can subsequently be used as input for further topological analysis.Another challenge when it comes to the visualisation of tensor fields is the design of transfer functions in the context of volume rendering. This is because of the high dimensional entity that is a tensor and its non-linear derivatives. We span a shape space which is populated by representatives which visually encode the tensor. This allows the user to steer the rendering by selecting the desired "shape" of the tensor rather than adjusting a slider for a derived scalar value. 1 Merriam-Webster. Complex. In Merriam-Webster dictionary (Merriam-Webster.com). Retrieved December 1st, 2024, from https://www.merriam-webster.com/dictionary/complex Problemet med att visualisera multivariat data och tensorfält beror på komplexiteten hos själva datan. Enligt definitionen består komplexa data av "många delar som hänger samman på ett svåröverskådligt sätt"2. Detta blir uppenbart genom det faktum att metoder för 'enkla' data, såsom skalärer och vektorer, inte på ett trivialt sätt går att utvidga till multivariat data och tensorer. På grund av det ökande antalet outputvariabler från simuleringsmodeller och mätningar leder denna brist till ett begränsat val av metoder i analysen och till en lägre analystrohet. Dessutom medför en uppdelad tillämpning av etablerade metoder på en delmängd av data, till exempel separat rendering av isoytor för de olika skalära fälten som ingår i multivariat data, ett antal utmaningar och fallgropar. I detta arbete presenterar jag flera tillvägagångssätt för att utvidga befintliga metoder för skalärfältsvisualisering och analys till multivariat data och, i vissa fall, i förlängningen, tensorfält. Specifikt har jag undersökt extraktion av isoytor från multivariat data, den topologiska analysen av multivariat data och tensorfält samt designen av överföringsfunktioner för tensorfält. Isoytor (konturer) är en välkänd visualiseringsteknik. De kan användas för att intuitivt lyfta fram områden av intresse och är det naturliga valet för att ta ögonblicksbilder under storskaliga simuleringar på plats för att verifiera resultat. Inom områden som meteorologi där simuleringar ger ett antal utdatavariabler för tryck, temperatur, nederbörd etc. behövs metoder för att visualisera multivariata isoytor. Feature level sets erbjuder en sådan metod genom att tolka en isoyta som resultatet av en skärning av isovärdet med data i domänen. Genom detta utökar vi begreppet isovärden, i detta sammanhang kallade traits, och isoytor till godtycklig dimensionalitet. En mellanprodukt av beräkningen av feature level sets är avståndsfältet som definierar varje datapunkts avstånd till trait:en. Med tanke på detta avståndsfält beräknar vi merge trees för det och möjliggör därigenom topologisk analys av multivariata data. Valet av merge trees kommer naturligt då minima i avståndsfältet motsvarar regioner närmast trait:en. Konceptet med beräknade fält som input används också i vårt förhållningssätt till topologisk analys av tensorfält. Det icke-linjära beteendet hos härledda/uträknade vektor- och skalära fält bör här ägnas särskild uppmärksamhet. Vi använder fältet av egenvektorer som härleds från tensorfältet för att bestämma celler som innehåller degenererade punkter i tensorfält och infogar nollvärdespunkter i motsvarande anisotropifält. Denna process ger ett skalärt fält som sedan kan användas som input för ytterligare topologisk analys. En annan utmaning när det kommer till visualisering av tensorfält är utformningen av överföringsfunktioner i samband med volymrendering. Detta beror på den högdimensionella enheten som är en tensor och dess icke-linjära derivator. Vi erbjuder ett bredd designutrymme för att visuellt koda tensorn. Detta gör att användaren kan styra renderingen genom att välja önskad "form" av tensorn istället för att justera en skjutreglage för ett härlett skalärt värde. 2 Svensk ordbok. Komplex. I Svenska Akademiens ordbok (svenska.se). Hämtad den 1:a december 2024 från https://svenska.se/so/?id=140703_ 1&pz=3
Discrete Geometry And Mathematical Morphology
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Author : Étienne Baudrier
language : en
Publisher: Springer Nature
Release Date : 2022-10-20
Discrete Geometry And Mathematical Morphology written by Étienne Baudrier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-20 with Computers categories.
This book constitutes the proceedings of the Second IAPR International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2022, which was held during October 24-27, 2022, in Strasbourg, France. The 33 papers included in this volume were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: discrete and combinatorial topology; discrete tomography and inverse problems; multivariate and PDE-based mathematical morphology, morphological filtering; hierarchical and Graph-Based Models, Analysis and Segmentation; discrete geometry - models, transforms, and visualization; learning based morphology to Mathematical Morphology; and distance transform. The book also contains 3 invited keynote papers.
Handbook Of Diffusion Mr Tractography
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Author : Flavio Dell'Acqua
language : en
Publisher: Academic Press
Release Date : 2024-11-19
Handbook Of Diffusion Mr Tractography written by Flavio Dell'Acqua and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-19 with Computers categories.
Handbook of Tractography presents methods and applications of MR diffusion tractography, providing deep insights into the theory and implementation of existing tractography techniques and offering practical advice on how to apply diffusion tractography to research projects and clinical applications. Starting from the design of MR acquisition protocols optimized for tractography, the book follows a pipeline approach to explain the main methods behind diffusion modelling and tractography, including advanced analysis of tractography data and connectomics. An extensive section of the book is devoted to the description of tractography applications in research and clinical settings to give a complete picture of tractography practice today. By focusing on technology, models and applications, this handbook will be an indispensable reference for researchers and students with backgrounds in computer science, mathematics, physics, neuroscience and medical science. - Provides a unique reference covering the whole field of MRI diffusion tractography - Includes in-depth descriptions of the latest research and current state-of-the-art of methods available in the field of diffusion tractography - Present a step-by-step pipeline approach, from setting up MRI data acquisition to the analysis of large-scale tractography datasets
Issues In Materials And Manufacturing Research 2011 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2012-01-09
Issues In Materials And Manufacturing Research 2011 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-09 with Technology & Engineering categories.
Issues in Materials and Manufacturing Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Materials and Manufacturing Research. The editors have built Issues in Materials and Manufacturing Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Materials and Manufacturing Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Materials and Manufacturing Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Vision Modeling And Visualization 2006
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Author : Leif Kobbelt
language : en
Publisher: IOS Press
Release Date : 2006
Vision Modeling And Visualization 2006 written by Leif Kobbelt and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
Summary: "These proceedings include the contributions to the 11th international Workshop Vision, Modeling, and Visualization 2006 held in Aachen, Germany. The papers cover the following topics: Image-based Reconstruction -- Textures and Rendering -- GPU-Programming -- Simulation and Visualization -- Image Processing -- Volume Visualization -- Geometry Processing and Rendering."--Publisher description.
Regression And Fitting On Manifold Valued Data
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Author : Ines Adouani
language : en
Publisher: Springer Nature
Release Date : 2024-07-23
Regression And Fitting On Manifold Valued Data written by Ines Adouani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-23 with Mathematics categories.
This book introduces in a constructive manner a general framework for regression and fitting methods for many applications and tasks involving data on manifolds. The methodology has important and varied applications in machine learning, medicine, robotics, biology, computer vision, human biometrics, nanomanufacturing, signal processing, and image analysis, etc. The first chapter gives motivation examples, a wide range of applications, raised challenges, raised challenges, and some concerns. The second chapter gives a comprehensive exploration and step-by-step illustrations for Euclidean cases. Another dedicated chapter covers the geometric tools needed for each manifold and provides expressions and key notions for any application for manifold-valued data. All loss functions and optimization methods are given as algorithms and can be easily implemented. In particular, many popular manifolds are considered with derived and specific formulations. The same philosophy is used in all chapters and all novelties are illustrated with intuitive examples. Additionally, each chapter includes simulations and experiments on real-world problems for understanding and potential extensions for a wide range of applications.
Proceedings Of The Rocscience International Conference 2023 Ric2023
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Author : Reginald E. Hammah
language : en
Publisher: Springer Nature
Release Date : 2023-11-06
Proceedings Of The Rocscience International Conference 2023 Ric2023 written by Reginald E. Hammah and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Technology & Engineering categories.
This is an open access book. Rocscience is delighted to announce the Rocscience International Conference 2023 (RIC2023), an in-person gathering to be held from April 24–26, 2023, in Toronto, Canada. RIC2023's primary objective is to bring geotechnical professionals together to meet and exchange ideas on important issues and developments in geotechnical engineering, particularly combinations of emerging and mature technologies. The geotechnical industry is rapidly evolving. Engineers are more connected through technology, technology is becoming more integrated than ever, and methods combining these technologies are becoming more prevalent. This movement towards combining technologies led us to the conference theme, “Synergy in Geotechnical Engineering – Success Beyond Individual Technologies.” We believe the time is right to highlight how far the industry has come with various technologies and continues to develop. The conference aims to create an environment that fosters new perspectives and helps attendees delve deeper into innovative approaches. During RIC2023, Rocscience will award the 2023 Lifetime Achievement Medal to Dr. Norbert Morgenstern, an internationally recognized authority in the engineering community. As both a practitioner and educator, Dr. Morgenstern’s contributions to the geotechnical community continue to benefit engineers worldwide, and he will give an address on his career. In addition to keynotes by Dr. Morgernstern and four other distinguished speakers, there will be several technical and networking sessions.