Visualization And Processing Of Higher Order Descriptors For Multi Valued Data

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Visualization and Processing of Higher Order Descriptors for Multi-Valued Data

Ingrid Hotz,Thomas Schultz

Author : Ingrid Hotz,Thomas Schultz
Publisher : Springer
Page : 383 pages
File Size : 46,6 Mb
Release : 2015-07-03
Category : Mathematics
ISBN : 9783319150901

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Visualization and Processing of Higher Order Descriptors for Multi-Valued Data by Ingrid Hotz,Thomas Schultz Pdf

Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in specific applications and a glimpse of the next generation of diffusion MRI. To do so, it combines contributions on new developments, current challenges in this area and state-of-the-art surveys. Compared to the increasing importance of higher-order descriptors in a range of applications, tools for analysis and processing are still relatively hard to come by. Even though application areas such as medical imaging, fluid dynamics and structural mechanics are very different in nature they face many shared challenges. This book provides an interdisciplinary perspective on this topic with contributions from key researchers in disciplines ranging from visualization and image processing to applications. It is based on the 5th Dagstuhl seminar on Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. This book will appeal to scientists who are working to develop new analysis methods in the areas of image processing and visualization, as well as those who work with applications that generate higher-order data or could benefit from higher-order models and are searching for novel analytical tools.

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Carl-Fredrik Westin,Anna Vilanova,Bernhard Burgeth

Author : Carl-Fredrik Westin,Anna Vilanova,Bernhard Burgeth
Publisher : Springer
Page : 346 pages
File Size : 46,9 Mb
Release : 2014-07-17
Category : Mathematics
ISBN : 9783642543012

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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data by Carl-Fredrik Westin,Anna Vilanova,Bernhard Burgeth Pdf

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography.

Modeling, Analysis, and Visualization of Anisotropy

Thomas Schultz,Evren Özarslan,Ingrid Hotz

Author : Thomas Schultz,Evren Özarslan,Ingrid Hotz
Publisher : Springer
Page : 407 pages
File Size : 43,6 Mb
Release : 2017-10-14
Category : Mathematics
ISBN : 9783319613581

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Modeling, Analysis, and Visualization of Anisotropy by Thomas Schultz,Evren Özarslan,Ingrid Hotz Pdf

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.

Information Processing in Medical Imaging

Aasa Feragen,Stefan Sommer,Julia Schnabel,Mads Nielsen

Author : Aasa Feragen,Stefan Sommer,Julia Schnabel,Mads Nielsen
Publisher : Springer Nature
Page : 784 pages
File Size : 52,6 Mb
Release : 2021-06-20
Category : Computers
ISBN : 9783030781910

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Information Processing in Medical Imaging by Aasa Feragen,Stefan Sommer,Julia Schnabel,Mads Nielsen Pdf

This book constitutes the proceedings of the 27th International Conference on Information Processing in Medical Imaging, IPMI 2021, which was held online during June 28-30, 2021. The conference was originally planned to take place in Bornholm, Denmark, but changed to a virtual format due to the COVID-19 pandemic. The 59 full papers presented in this volume were carefully reviewed and selected from 200 submissions. They were organized in topical sections as follows: registration; causal models and interpretability; generative modelling; shape; brain connectivity; representation learning; segmentation; sequential modelling; learning with few or low quality labels; uncertainty quantification and generative modelling; and deep learning.

Mathematical Morphology and Its Applications to Signal and Image Processing

Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot

Author : Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot
Publisher : Springer
Page : 754 pages
File Size : 51,8 Mb
Release : 2015-05-15
Category : Computers
ISBN : 9783319187204

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Mathematical Morphology and Its Applications to Signal and Image Processing by Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot Pdf

This book contains the thoroughly refereed proceedings of the 12th International Symposium on Mathematical Morphology, ISMM 2015 held in Reykjavik, Iceland, in May 2015. The 62 revised full papers were carefully reviewed and selected from 72 submissions. The papers are organized in topical sections on evaluations and applications; hierarchies; color, multivalued and orientation fields; optimization, differential calculus and probabilities; topology and discrete geometry; and algorithms and implementation.

Foundations of Data Visualization

Min Chen,Helwig Hauser,Penny Rheingans,Gerik Scheuermann

Author : Min Chen,Helwig Hauser,Penny Rheingans,Gerik Scheuermann
Publisher : Springer Nature
Page : 395 pages
File Size : 41,9 Mb
Release : 2020-08-11
Category : Computers
ISBN : 9783030344443

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Foundations of Data Visualization by Min Chen,Helwig Hauser,Penny Rheingans,Gerik Scheuermann Pdf

This is the first book that focuses entirely on the fundamental questions in visualization. Unlike other existing books in the field, it contains discussions that go far beyond individual visual representations and individual visualization algorithms. It offers a collection of investigative discourses that probe these questions from different perspectives, including concepts that help frame these questions and their potential answers, mathematical methods that underpin the scientific reasoning of these questions, empirical methods that facilitate the validation and falsification of potential answers, and case studies that stimulate hypotheses about potential answers while providing practical evidence for such hypotheses. Readers are not instructed to follow a specific theory, but their attention is brought to a broad range of schools of thoughts and different ways of investigating fundamental questions. As such, the book represents the by now most significant collective effort for gathering a large collection of discourses on the foundation of data visualization. Data visualization is a relatively young scientific discipline. Over the last three decades, a large collection of computer-supported visualization techniques have been developed, and the merits and benefits of using these techniques have been evidenced by numerous applications in practice. These technical advancements have given rise to the scientific curiosity about some fundamental questions such as why and how visualization works, when it is useful or effective and when it is not, what are the primary factors affecting its usefulness and effectiveness, and so on. This book signifies timely and exciting opportunities to answer such fundamental questions by building on the wealth of knowledge and experience accumulated in developing and deploying visualization technology in practice.

Anisotropy Across Fields and Scales

Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster

Author : Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster
Publisher : Springer Nature
Page : 284 pages
File Size : 55,9 Mb
Release : 2021
Category : Algebra
ISBN : 9783030562151

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Anisotropy Across Fields and Scales by Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster Pdf

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 Diffusion MRI

Noemi Gyori,Jana Hutter,Vishwesh Nath,Marco Palombo,Marco Pizzolato,Fan Zhang

Author : Noemi Gyori,Jana Hutter,Vishwesh Nath,Marco Palombo,Marco Pizzolato,Fan Zhang
Publisher : Springer Nature
Page : 301 pages
File Size : 47,8 Mb
Release : 2021-09-29
Category : Mathematics
ISBN : 9783030730185

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Computational Diffusion MRI by Noemi Gyori,Jana Hutter,Vishwesh Nath,Marco Palombo,Marco Pizzolato,Fan Zhang Pdf

This book gathers papers presented at the Workshop on Computational Diffusion MRI, CDMRI 2020, held under the auspices of the International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), which took place virtually on October 8th, 2020, having originally been planned to take place in Lima, Peru. This book presents the latest developments in the highly active and rapidly growing field of diffusion MRI. While offering new perspectives on the most recent research challenges in the field, the selected articles also provide a valuable starting point for anyone interested in learning computational techniques for diffusion MRI. The book includes rigorous mathematical derivations, a large number of rich, full-colour visualizations, and clinically relevant results. As such, it is of interest to researchers and practitioners in the fields of computer science, MRI physics, and applied mathematics. The reader will find numerous contributions covering a broad range of topics, from the mathematical foundations of the diffusion process and signal generation to new computational methods and estimation techniques for the in-vivo recovery of microstructural and connectivity features, as well as diffusion-relaxometry and frontline applications in research and clinical practice.

Neuromathematics of Vision

Giovanna Citti,Alessandro Sarti

Author : Giovanna Citti,Alessandro Sarti
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 45,9 Mb
Release : 2014-02-08
Category : Mathematics
ISBN : 9783642344442

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Neuromathematics of Vision by Giovanna Citti,Alessandro Sarti Pdf

This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and shaping the hidden brain structures underlying visual perception. The story of the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular structure of the primary visual cortex, and slowly cams towards a theoretical understanding of the experimental data on what we now know as functional architecture of the primary visual cortex. Experimental data comes from several domains: neurophysiology, phenomenology of perception and neurocognitive imaging. Imaging techniques like functional MRI and diffusion tensor MRI allow to deepen the study of cortical structures. Due to this variety of experimental data, neuromathematematics deals with modelling both cortical structures and perceptual spaces. From the mathematical point of view, neuromathematical call for new instruments of pure mathematics: sub-Riemannian geometry models horizontal connectivity, harmonic analysis in non commutative groups allows to understand pinwheels structure, as well as non-linear dimensionality reduction is at the base of many neural morphologies and possibly of the emergence of perceptual units. But at the center of the neurogeometry is the problem of harmonizing contemporary mathematical instruments with neurophysiological findings and phenomenological experiments in an unitary science of vision. The contributions to this book come from the very founders of the discipline.

Computational Color Imaging

Alain Trémeau,Raimondo Schettini,Shoji Tominaga

Author : Alain Trémeau,Raimondo Schettini,Shoji Tominaga
Publisher : Springer
Page : 244 pages
File Size : 48,7 Mb
Release : 2015-02-20
Category : Computers
ISBN : 9783319159799

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Computational Color Imaging by Alain Trémeau,Raimondo Schettini,Shoji Tominaga Pdf

This book constitutes the refereed proceedings of the 5th Computational Color Imaging Workshop, CCIW 2015, held in Saint-Étienne, France, in March 2015. The 17 revised full papers, presented together with 5 invited papers, were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on color reproduction, color sensation and perception, color image processing, spectral imaging, and color in digital cultural heritage.

Computer Analysis of Images and Patterns

George Azzopardi,Nicolai Petkov

Author : George Azzopardi,Nicolai Petkov
Publisher : Springer
Page : 799 pages
File Size : 47,9 Mb
Release : 2015-08-25
Category : Computers
ISBN : 9783319231174

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Computer Analysis of Images and Patterns by George Azzopardi,Nicolai Petkov Pdf

The two volume set LNCS 9256 and 9257 constitutes the refereed proceedings of the 16th International Conference on Computer Analysis of Images and Patterns, CAIP 2015, held in Valletta, Malta, in September 2015. The 138 papers presented were carefully reviewed and selected from numerous submissions. CAIP 2015 is the sixteenth in the CAIP series of biennial international conferences devoted to all aspects of computer vision, image analysis and processing, pattern recognition, and related fields.

Applications of Evolutionary Computation

Giovanni Squillero,Kevin Sim

Author : Giovanni Squillero,Kevin Sim
Publisher : Springer
Page : 905 pages
File Size : 53,9 Mb
Release : 2017-04-03
Category : Computers
ISBN : 9783319558493

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Applications of Evolutionary Computation by Giovanni Squillero,Kevin Sim Pdf

The two volumes LNCS 10199 and 10200 constitute the refereed conference proceedings of the 20th European Conference on the Applications of Evolutionary Computation, EvoApplications 2017, held in Amsterdam, The Netherlands, in April 2017, collocated with the Evo* 2016 events EuroGP, EvoCOP, and EvoMUSART. The 46 revised full papers presented together with 26 poster papers were carefully reviewed and selected from 108 submissions. EvoApplications 2016 consisted of the following 13 tracks: EvoBAFIN (natural computing methods in business analytics and finance), EvoBIO (evolutionary computation, machine learning and data mining in computational biology), EvoCOMNET (nature-inspired techniques for telecommunication networks and other parallel and distributed systems), EvoCOMPLEX (evolutionary algorithms and complex systems), EvoENERGY (evolutionary computation in energy applications), EvoGAMES (bio-inspired algorithms in games), EvoIASP (evolutionary computation in image analysis, signal processing, and pattern recognition), EvoINDUSTRY (nature-inspired techniques in industrial settings), EvoKNOW (knowledge incorporation in evolutionary computation), EvoNUM (bio-inspired algorithms for continuous parameter optimization), EvoPAR (parallel implementation of evolutionary algorithms), EvoROBOT (evolutionary robotics), EvoSET (nature-inspired algorithms in software engineering and testing), and EvoSTOC (evolutionary algorithms in stochastic and dynamic environments).

Handbook of Neuroimaging Data Analysis

Hernando Ombao,Martin Lindquist,Wesley Thompson,John Aston

Author : Hernando Ombao,Martin Lindquist,Wesley Thompson,John Aston
Publisher : CRC Press
Page : 702 pages
File Size : 55,6 Mb
Release : 2016-11-18
Category : Mathematics
ISBN : 9781482220988

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Handbook of Neuroimaging Data Analysis by Hernando Ombao,Martin Lindquist,Wesley Thompson,John Aston Pdf

This book explores various state-of-the-art aspects behind the statistical analysis of neuroimaging data. It examines the development of novel statistical approaches to model brain data. Designed for researchers in statistics, biostatistics, computer science, cognitive science, computer engineering, biomedical engineering, applied mathematics, physics, and radiology, the book can also be used as a textbook for graduate-level courses in statistics and biostatistics or as a self-study reference for Ph.D. students in statistics, biostatistics, psychology, neuroscience, and computer science.

Medical Image Computing and Computer Assisted Intervention – MICCAI 2021

Marleen de Bruijne,Philippe C. Cattin,Stéphane Cotin,Nicolas Padoy,Stefanie Speidel,Yefeng Zheng,Caroline Essert

Author : Marleen de Bruijne,Philippe C. Cattin,Stéphane Cotin,Nicolas Padoy,Stefanie Speidel,Yefeng Zheng,Caroline Essert
Publisher : Springer Nature
Page : 735 pages
File Size : 53,6 Mb
Release : 2021-09-23
Category : Computers
ISBN : 9783030872373

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Medical Image Computing and Computer Assisted Intervention – MICCAI 2021 by Marleen de Bruijne,Philippe C. Cattin,Stéphane Cotin,Nicolas Padoy,Stefanie Speidel,Yefeng Zheng,Caroline Essert Pdf

The eight-volume set LNCS 12901, 12902, 12903, 12904, 12905, 12906, 12907, and 12908 constitutes the refereed proceedings of the 24th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2021, held in Strasbourg, France, in September/October 2021.* The 531 revised full papers presented were carefully reviewed and selected from 1630 submissions in a double-blind review process. The papers are organized in the following topical sections: Part I: image segmentation Part II: machine learning - self-supervised learning; machine learning - semi-supervised learning; and machine learning - weakly supervised learning Part III: machine learning - advances in machine learning theory; machine learning - attention models; machine learning - domain adaptation; machine learning - federated learning; machine learning - interpretability / explainability; and machine learning - uncertainty Part IV: image registration; image-guided interventions and surgery; surgical data science; surgical planning and simulation; surgical skill and work flow analysis; and surgical visualization and mixed, augmented and virtual reality Part V: computer aided diagnosis; integration of imaging with non-imaging biomarkers; and outcome/disease prediction Part VI: image reconstruction; clinical applications - cardiac; and clinical applications - vascular Part VII: clinical applications - abdomen; clinical applications - breast; clinical applications - dermatology; clinical applications - fetal imaging; clinical applications - lung; clinical applications - neuroimaging - brain development; clinical applications - neuroimaging - DWI and tractography; clinical applications - neuroimaging - functional brain networks; clinical applications - neuroimaging – others; and clinical applications - oncology Part VIII: clinical applications - ophthalmology; computational (integrative) pathology; modalities - microscopy; modalities - histopathology; and modalities - ultrasound *The conference was held virtually.

Computational Diffusion MRI

Andrea Fuster,Aurobrata Ghosh,Enrico Kaden,Yogesh Rathi,Marco Reisert

Author : Andrea Fuster,Aurobrata Ghosh,Enrico Kaden,Yogesh Rathi,Marco Reisert
Publisher : Springer
Page : 234 pages
File Size : 40,5 Mb
Release : 2016-04-08
Category : Mathematics
ISBN : 9783319285887

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Computational Diffusion MRI by Andrea Fuster,Aurobrata Ghosh,Enrico Kaden,Yogesh Rathi,Marco Reisert Pdf

These Proceedings of the 2015 MICCAI Workshop “Computational Diffusion MRI” offer a snapshot of the current state of the art on a broad range of topics within the highly active and growing field of diffusion MRI. The topics vary from fundamental theoretical work on mathematical modeling, to the development and evaluation of robust algorithms, new computational methods applied to diffusion magnetic resonance imaging data, and applications in neuroscientific studies and clinical practice. Over the last decade interest in diffusion MRI has exploded. The technique provides unique insights into the microstructure of living tissue and enables in-vivo connectivity mapping of the brain. Computational techniques are key to the continued success and development of diffusion MRI and to its widespread transfer into clinical practice. New processing methods are essential for addressing issues at each stage of the diffusion MRI pipeline: acquisition, reconstruction, modeling and model fitting, image processing, fiber tracking, connectivity mapping, visualization, group studies and inference. This volume, which includes both careful mathematical derivations and a wealth of rich, full-color visualizations and biologically or clinically relevant results, offers a valuable starting point for anyone interested in learning about computational diffusion MRI and mathematical methods for mapping brain connectivity, as well as new perspectives and insights on current research challenges for those currently working in the field. It will be of interest to researchers and practitioners in the fields of computer science, MR physics, and applied mathematics.

Visualization And Processing Of Higher Order Descriptors For Multi Valued Data

Visualization and Processing of Higher Order Descriptors for Multi-Valued Data by Ingrid Hotz,Thomas Schultz Pdf

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data by Carl-Fredrik Westin,Anna Vilanova,Bernhard Burgeth Pdf

Modeling, Analysis, and Visualization of Anisotropy by Thomas Schultz,Evren Özarslan,Ingrid Hotz Pdf

Information Processing in Medical Imaging by Aasa Feragen,Stefan Sommer,Julia Schnabel,Mads Nielsen Pdf

Mathematical Morphology and Its Applications to Signal and Image Processing by Jón Atli Benediktsson,Jocelyn Chanussot,Laurent Najman,Hugues Talbot Pdf

Foundations of Data Visualization by Min Chen,Helwig Hauser,Penny Rheingans,Gerik Scheuermann Pdf

Anisotropy Across Fields and Scales by Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster Pdf

Computational Diffusion MRI by Noemi Gyori,Jana Hutter,Vishwesh Nath,Marco Palombo,Marco Pizzolato,Fan Zhang Pdf

Neuromathematics of Vision by Giovanna Citti,Alessandro Sarti Pdf

Computational Color Imaging by Alain Trémeau,Raimondo Schettini,Shoji Tominaga Pdf

Computer Analysis of Images and Patterns by George Azzopardi,Nicolai Petkov Pdf

Applications of Evolutionary Computation by Giovanni Squillero,Kevin Sim Pdf

Handbook of Neuroimaging Data Analysis by Hernando Ombao,Martin Lindquist,Wesley Thompson,John Aston Pdf

Medical Image Computing and Computer Assisted Intervention – MICCAI 2021 by Marleen de Bruijne,Philippe C. Cattin,Stéphane Cotin,Nicolas Padoy,Stefanie Speidel,Yefeng Zheng,Caroline Essert Pdf

Computational Diffusion MRI by Andrea Fuster,Aurobrata Ghosh,Enrico Kaden,Yogesh Rathi,Marco Reisert Pdf

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