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Handbook of mathematical models and ...

Chen, Ke.

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Handbook of mathematical models and algorithms in computer vision and imaging = mathematical imaging and vision /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of mathematical models and algorithms in computer vision and imaging/ edited by Ke Chen ... [et al.].
Reminder of title:	mathematical imaging and vision /
other author:	Chen, Ke.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxvi, 1984 p. :ill., digital ;24 cm.
[NT 15003449]:	1. An Overview of SaT Segmentation Methodology and Its Applications in Image Processing -- 2. Analysis of different losses for deep learning image colorization -- 3. Blind phase retrieval with fast algorithms -- 4. Bregman Methods for Large-Scale Optimisation with Applications in Imaging -- 5. Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors -- 6. Convex non-Convex Variational Models -- 7. Data-Informed Regularization for Inverse and Imaging Problems -- 8. Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion -- 9. Domain Decomposition for Non-smooth (in Particular TV) Minimization -- 10. Fast numerical methods for image segmentation models.
Contained By:	Springer Nature eReference
Subject:	Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-030-98661-2
ISBN:	9783030986612

Handbook of mathematical models and algorithms in computer vision and imaging = mathematical imaging and vision /
Handbook of mathematical models and algorithms in computer vision and imagingmathematical imaging and vision /[electronic resource] :edited by Ke Chen ... [et al.]. - Cham :Springer International Publishing :2023. - xxvi, 1984 p. :ill., digital ;24 cm.

1. An Overview of SaT Segmentation Methodology and Its Applications in Image Processing -- 2. Analysis of different losses for deep learning image colorization -- 3. Blind phase retrieval with fast algorithms -- 4. Bregman Methods for Large-Scale Optimisation with Applications in Imaging -- 5. Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors -- 6. Convex non-Convex Variational Models -- 7. Data-Informed Regularization for Inverse and Imaging Problems -- 8. Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion -- 9. Domain Decomposition for Non-smooth (in Particular TV) Minimization -- 10. Fast numerical methods for image segmentation models.

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.

ISBN: 9783030986612

Standard No.: 10.1007/978-3-030-98661-2doiSubjects--Topical Terms:

522882
Mathematical models.

LC Class. No.: QA401 / .H35 2023

Dewey Class. No.: 511.8

Handbook of mathematical models and algorithms in computer vision and imaging = mathematical imaging and vision /
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xxvi, 1984 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1. An Overview of SaT Segmentation Methodology and Its Applications in Image Processing -- 2. Analysis of different losses for deep learning image colorization -- 3. Blind phase retrieval with fast algorithms -- 4. Bregman Methods for Large-Scale Optimisation with Applications in Imaging -- 5. Connecting Hamilton-Jacobi Partial Differential Equations with Maximum a Posteriori and Posterior Mean Estimators for Some Non-convex Priors -- 6. Convex non-Convex Variational Models -- 7. Data-Informed Regularization for Inverse and Imaging Problems -- 8. Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion -- 9. Domain Decomposition for Non-smooth (in Particular TV) Minimization -- 10. Fast numerical methods for image segmentation models.
520 $a 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.
650 0 $a Mathematical models. $3 522882
650 0 $a Computer vision $x Mathematical models. $3 805509
650 0 $a Diagnostic imaging $x Mathematical models. $3 1531844
650 0 $a Mathematical optimization. $3 517763
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650 2 4 $a Computer Imaging, Vision, Pattern Recognition and Graphics. $3 890871
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650 2 4 $a Analysis. $3 891106
650 2 4 $a Mathematical Models of Cognitive Processes and Neural Networks. $3 1619875
700 1 $a Chen, Ke. $3 893256
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