Ricci Flow For Shape Analysis And Surface Registration

Author : Wei Zeng,Xianfeng David Gu
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 48,7 Mb
Release : 2013-10-18
Category : Mathematics
ISBN : 9781461487814

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Ricci Flow for Shape Analysis and Surface Registration by Wei Zeng,Xianfeng David Gu Pdf

​Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface​ Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration.

Author : Anne L. Martel,Purang Abolmaesumi,Danail Stoyanov,Diana Mateus,Maria A. Zuluaga,S. Kevin Zhou,Daniel Racoceanu,Leo Joskowicz
Publisher : Springer Nature
Page : 847 pages
File Size : 41,6 Mb
Release : 2020-10-02
Category : Computers
ISBN : 9783030597283

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Medical Image Computing and Computer Assisted Intervention – MICCAI 2020 by Anne L. Martel,Purang Abolmaesumi,Danail Stoyanov,Diana Mateus,Maria A. Zuluaga,S. Kevin Zhou,Daniel Racoceanu,Leo Joskowicz Pdf

The seven-volume set LNCS 12261, 12262, 12263, 12264, 12265, 12266, and 12267 constitutes the refereed proceedings of the 23rd International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2020, held in Lima, Peru, in October 2020. The conference was held virtually due to the COVID-19 pandemic. The 542 revised full papers presented were carefully reviewed and selected from 1809 submissions in a double-blind review process. The papers are organized in the following topical sections: Part I: machine learning methodologies Part II: image reconstruction; prediction and diagnosis; cross-domain methods and reconstruction; domain adaptation; machine learning applications; generative adversarial networks Part III: CAI applications; image registration; instrumentation and surgical phase detection; navigation and visualization; ultrasound imaging; video image analysis Part IV: segmentation; shape models and landmark detection Part V: biological, optical, microscopic imaging; cell segmentation and stain normalization; histopathology image analysis; opthalmology Part VI: angiography and vessel analysis; breast imaging; colonoscopy; dermatology; fetal imaging; heart and lung imaging; musculoskeletal imaging Part VI: brain development and atlases; DWI and tractography; functional brain networks; neuroimaging; positron emission tomography

Author : Nicholas Ayache,Hervé Delingette,Polina Golland,Kensaku Mori
Publisher : Springer
Page : 718 pages
File Size : 46,9 Mb
Release : 2012-09-22
Category : Computers
ISBN : 9783642334184

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Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2012 by Nicholas Ayache,Hervé Delingette,Polina Golland,Kensaku Mori Pdf

The three-volume set LNCS 7510, 7511, and 7512 constitutes the refereed proceedings of the 15th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2012, held in Nice, France, in October 2012. Based on rigorous peer reviews, the program committee carefully selected 252 revised papers from 781 submissions for presentation in three volumes. The second volume includes 82 papers organized in topical sections on cardiovascular imaging: planning, intervention and simulation; image registration; neuroimage analysis; diffusion weighted imaging; image segmentation; computer-assisted interventions and robotics; and image registration: new methods and results.

Author : Ayman S. El-Baz,Luca Saba,Jasjit Suri
Publisher : Springer Science & Business Media
Page : 769 pages
File Size : 51,8 Mb
Release : 2013-11-26
Category : Medical
ISBN : 9781461484981

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Abdomen and Thoracic Imaging by Ayman S. El-Baz,Luca Saba,Jasjit Suri Pdf

The book covers novel strategies of state of the art in engineering and clinical analysis and approaches for analyzing abdominal imaging, including lung, mediastinum, pleura, liver, kidney and gallbladder. In the last years the imaging techniques have experienced a tremendous improvement in the diagnosis and characterization of the pathologies that affect abdominal organs. In particular, the introduction of extremely fast CT scanners and high Magnetic field MR Systems allow imaging with an exquisite level of detail the anatomy and pathology of liver, kidney, pancreas, gallbladder as well as lung and mediastinum. Moreover, thanks to the development of powerful computer hardware and advanced mathematical algorithms the quantitative and automated\semi automated diagnosis of the pathology is becoming a reality. Medical image analysis plays an essential role in the medical imaging field, including computer-aided diagnosis, organ/lesion segmentation, image registration, and image-guided therapy. This book will cover all the imaging techniques, potential for applying such imaging clinically, and offer present and future applications as applied to the abdomen and thoracic imaging with the most world renowned scientists in these fields. The main aim of this book is to help advance scientific research within the broad field of abdominal imaging. This book focuses on major trends and challenges in this area, and it presents work aimed to identify new techniques and their use in medical imaging analysis for abdominal imaging. ​

Author : Pew-Thian Yap,Tianming Liu,Dinggang Shen,Carl-Fredrik Westin,Li Shen
Publisher : Springer
Page : 235 pages
File Size : 41,9 Mb
Release : 2012-09-18
Category : Computers
ISBN : 9783642335303

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Multimodal Brain Image Analysis by Pew-Thian Yap,Tianming Liu,Dinggang Shen,Carl-Fredrik Westin,Li Shen Pdf

This book constitutes the refereed proceedings of the Second International Workshop on Multimodal Brain Image Analysis, held in conjunction with MICCAI 2012, in Nice, France, in October 2012. The 19 revised full papers presented were carefully reviewed and selected from numerous submissions. The objective of this workshop is to forward the state of the art in analysis methodologies, algorithms, software systems, validation approaches, benchmark datasets, neuroscience, and clinical applications.

Author : James F. Peters
Publisher : Springer Nature
Page : 440 pages
File Size : 49,9 Mb
Release : 2019-10-03
Category : Technology & Engineering
ISBN : 9783030221928

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Computational Geometry, Topology and Physics of Digital Images with Applications by James F. Peters Pdf

This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.

Author : Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes
Publisher : Springer Nature
Page : 1981 pages
File Size : 50,8 Mb
Release : 2023-02-24
Category : Mathematics
ISBN : 9783030986612

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Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging by Ke Chen,Carola-Bibiane Schönlieb,Xue-Cheng Tai,Laurent Younes Pdf

This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.

Author : Miao Jin,Xianfeng Gu,Ying He,Yalin Wang
Publisher : Springer
Page : 314 pages
File Size : 42,9 Mb
Release : 2018-04-10
Category : Computers
ISBN : 9783319753324

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Conformal Geometry by Miao Jin,Xianfeng Gu,Ying He,Yalin Wang Pdf

This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. The respective chapters explore fundamental problems in specific fields of application, and detail how computational conformal geometric methods can be used to solve them in a theoretically elegant and computationally efficient way. The fields covered include computer graphics, computer vision, geometric modeling, medical imaging, and wireless sensor networks. Each chapter concludes with a summary of the material covered and suggestions for further reading, and numerous illustrations and computational algorithms complement the text. The book draws on courses given by the authors at the University of Louisiana at Lafayette, the State University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering.

Author : Xianfeng David Gu,Shing-Tung Yau
Publisher : Unknown
Page : 324 pages
File Size : 43,7 Mb
Release : 2008
Category : CD-ROMs
ISBN : UOM:39015080827697

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Computational Conformal Geometry by Xianfeng David Gu,Shing-Tung Yau Pdf

Author : David Fleet,Tomas Pajdla,Bernt Schiele,Tinne Tuytelaars
Publisher : Springer
Page : 877 pages
File Size : 52,7 Mb
Release : 2014-08-13
Category : Computers
ISBN : 9783319105901

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Computer Vision -- ECCV 2014 by David Fleet,Tomas Pajdla,Bernt Schiele,Tinne Tuytelaars Pdf

The seven-volume set comprising LNCS volumes 8689-8695 constitutes the refereed proceedings of the 13th European Conference on Computer Vision, ECCV 2014, held in Zurich, Switzerland, in September 2014. The 363 revised papers presented were carefully reviewed and selected from 1444 submissions. The papers are organized in topical sections on tracking and activity recognition; recognition; learning and inference; structure from motion and feature matching; computational photography and low-level vision; vision; segmentation and saliency; context and 3D scenes; motion and 3D scene analysis; and poster sessions.

Author : Bennett Chow,Peng Lu,Lei Ni
Publisher : American Mathematical Soc.
Page : 648 pages
File Size : 47,7 Mb
Release : 2006
Category : Global differential geometry
ISBN : 9780821842317

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Hamilton's Ricci Flow by Bennett Chow,Peng Lu,Lei Ni Pdf

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. It also provides brief introductions to some general methods of geometric analysis and other geometric flows.

Author : Tianzi Jiang,Nassir Navab,Josien P.W. Pluim,Max A. Viergever
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 46,8 Mb
Release : 2010-09-02
Category : Computers
ISBN : 9783642157103

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Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2010 by Tianzi Jiang,Nassir Navab,Josien P.W. Pluim,Max A. Viergever Pdf

The three-volume set LNCS 6361, 6362 and 6363 constitutes the refereed proceedings of the 13th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2010, held in Beijing, China, in September 2010. Based on rigorous peer reviews, the program committee carefully selected 251 revised papers from 786 submissions for presentation in three volumes. The third volume includes 83 papers organized in topical sections on segmentation and modeling, robotics, motion modeling and computer-assisted interventions, image reconstruction, enhancement and representation, and computer-aided diagnosis.

Author : Bennett Chow,Sun-Chin Chu,David Glickenstein,Christine Guenther,James Isenberg,Tom Ivey,Dan Knopf,Peng Lu,Feng Luo,Lei Ni
Publisher : American Mathematical Soc.
Page : 542 pages
File Size : 42,9 Mb
Release : 2010-04-21
Category : Mathematics
ISBN : 9780821846612

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The Ricci Flow: Techniques and Applications by Bennett Chow,Sun-Chin Chu,David Glickenstein,Christine Guenther,James Isenberg,Tom Ivey,Dan Knopf,Peng Lu,Feng Luo,Lei Ni Pdf

The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects. The topics include Perelman's entropy functional, point picking methods, aspects of Perelman's theory of $\kappa$-solutions including the $\kappa$-gap theorem, compactness theorem and derivative estimates, Perelman's pseudolocality theorem, and aspects of the heat equation with respect to static and evolving metrics related to Ricci flow. In the appendices, we review metric and Riemannian geometry including the space of points at infinity and Sharafutdinov retraction for complete noncompact manifolds with nonnegative sectional curvature. As in the previous volumes, the authors have endeavored, as much as possible, to make the chapters independent of each other. The book makes advanced material accessible to graduate students and nonexperts. It includes a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

Author : Martin Reuter,Christian Wachinger,Hervé Lombaert
Publisher : Springer
Page : 133 pages
File Size : 53,6 Mb
Release : 2016-12-10
Category : Computers
ISBN : 9783319512372

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Spectral and Shape Analysis in Medical Imaging by Martin Reuter,Christian Wachinger,Hervé Lombaert Pdf

This book constitutes the refereed post-conference proceedings of the First International Workshop on Spectral and Shape Analysis in Medical Imaging, SeSAMI 2016, held in conjunction with MICCAI 2016, in Athens, Greece, in October 2016. The 10 submitted full papers presented in this volume were carefully reviewed. The papers reflect the following topics: spectral methods; longitudinal methods; and shape methods.

Author : Andrea Vedaldi,Horst Bischof,Thomas Brox,Jan-Michael Frahm
Publisher : Springer Nature
Page : 501 pages
File Size : 47,9 Mb
Release : 2020-09-23
Category : Computers
ISBN : 9783030585778

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Computer Vision – ECCV 2020 by Andrea Vedaldi,Horst Bischof,Thomas Brox,Jan-Michael Frahm Pdf

The 30-volume set, comprising the LNCS books 12346 until 12375, constitutes the refereed proceedings of the 16th European Conference on Computer Vision, ECCV 2020, which was planned to be held in Glasgow, UK, during August 23-28, 2020. The conference was held virtually due to the COVID-19 pandemic. The 1360 revised papers presented in these proceedings were carefully reviewed and selected from a total of 5025 submissions. The papers deal with topics such as computer vision; machine learning; deep neural networks; reinforcement learning; object recognition; image classification; image processing; object detection; semantic segmentation; human pose estimation; 3d reconstruction; stereo vision; computational photography; neural networks; image coding; image reconstruction; object recognition; motion estimation.