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Mathematical Problems in Image Processing

2008-04-06 Mathematics
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Release : 2008-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 665/5 ( reviews)

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Book Synopsis Mathematical Problems in Image Processing by : Gilles Aubert

Download or read book Mathematical Problems in Image Processing written by Gilles Aubert. This book was released on 2008-04-06. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations and variational methods were introduced into image processing about 15 years ago, and intensive research has been carried out since then. The main goal of this work is to present the variety of image analysis applications and the precise mathematics involved. It is intended for two audiences. The first is the mathematical community, to show the contribution of mathematics to this domain and to highlight some unresolved theoretical questions. The second is the computer vision community, to present a clear, self-contained, and global overview of the mathematics involved in image processing problems. The book is divided into five main parts. Chapter 1 is a detailed overview. Chapter 2 describes and illustrates most of the mathematical notions found throughout the work. Chapters 3 and 4 examine how PDEs and variational methods can be successfully applied in image restoration and segmentation processes. Chapter 5, which is more applied, describes some challenging computer vision problems, such as sequence analysis or classification. This book will be useful to researchers and graduate students in mathematics and computer vision.

Mathematical Image Processing

2019-02-06 Mathematics
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Release : 2019-02-06
Genre : Mathematics
Kind : eBook
Book Rating : 584/5 ( reviews)

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Book Synopsis Mathematical Image Processing by : Kristian Bredies

Download or read book Mathematical Image Processing written by Kristian Bredies. This book was released on 2019-02-06. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods. Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)

Mathematical Methods in Image Processing and Inverse Problems

2021-09-25 Mathematics
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Release : 2021-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 010/5 ( reviews)

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Book Synopsis Mathematical Methods in Image Processing and Inverse Problems by : Xue-Cheng Tai

Download or read book Mathematical Methods in Image Processing and Inverse Problems written by Xue-Cheng Tai. This book was released on 2021-09-25. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.

Mathematics in Image Processing

2013-06-12 Mathematics
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Release : 2013-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 418/5 ( reviews)

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Book Synopsis Mathematics in Image Processing by : Hong-Kai Zhao

Download or read book Mathematics in Image Processing written by Hong-Kai Zhao. This book was released on 2013-06-12. Available in PDF, EPUB and Kindle. Book excerpt: The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation. This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.

Mathematical Morphology and Its Applications to Image Processing

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 409/5 ( reviews)

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Book Synopsis Mathematical Morphology and Its Applications to Image Processing by : Jean Serra

Download or read book Mathematical Morphology and Its Applications to Image Processing written by Jean Serra. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.

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