Book Description
Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them.
Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields.
During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches.
Customer Reviews:
It is my bible!.......2004-07-01
This book not only includes the state-of-art image processig techniques using math methods, but also provides very good numerical schemes for these methods. This book is written by mathematicians, but engineers still can easily implemente many commonly used image processing algorithm, just follow the detailed numerical difference schemes provided in the appendix.
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Automated Deduction in Geometry: Second International Workshop, ADG'98, Beijing, China, August 1-3, 1998, Proceedings (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence)
Manufacturer: Springer
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ASIN: 3540666729 |
Book Description
This book constitutes the strictly refereed post-workshop proceedings of the Second International Workshop on Automated Deduction in Geometry, ADG'98, held in Beijing, China in August 1998. The 14 revised papers presented were selected from the papers accepted for the workshop after careful reviewing. The papers address all current issues in the area, in particular automated geometry theorem proving, automated geometry problem solving, plane Euclidean reasoning, Clifford algebraic methods for geometric reasoning, decomposing algebraic varieties, applciations in computer vision, mechanical CAGD, etc.
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Automated Deduction in Geometry: Third International Workshop, ADG 2000, Zurich, Switzerland, September 25-27, 2000, Revised Papers (Lecture Notes in Computer ... / Lecture Notes in Artificial Intelligence)
Manufacturer: Springer
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ASIN: 3540425985 |
Book Description
This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Automated Deduction in Geometry, ADG 2000, held in Zurich, Switzerland, in September 2000.The 16 revised full papers and two invited papers presented were carefully selected for publication during two rounds of reviewing and revision from a total of initially 31 submissions. Among the issues addressed are spatial constraint solving, automated proving of geometric inequalities, algebraic proof, semi-algebraic proofs, geometrical reasoning, computational synthetic geometry, incidence geometry, and nonstandard geometric proofs.
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Inverse Problems, Tomography, and Image Processing
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ASIN: 0306458284 |
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Mathematical Modeling, Bayesian Estimation, and Inverse Problems: 21-23 July 1999, Denver, Colorado (Proceedings of Spie--the International Society for Optical Engineering, V. 3816.)
Manufacturer: Society of Photo Optical
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ASIN: 0819433020 |
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Modeling and Inverse Problems in Image Analysis
Bernard Chalmond
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Image Analysis, Random Fields and Markov Chain Monte Carlo Methods: A Mathematical Introduction (Stochastic Modelling and Applied Probability)
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Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
ASIN: 038795547X |
Book Description
More mathematicians have been taking part in the development of digital image processing as a science and the contributions are reflected in the increasingly important role modeling has played solving complex problems. This book is mostly concerned with energy-based models. Through concrete image analysis problems, the author develops consistent modeling, a know-how generally hidden in the proposed solutions. The book is divided into three main parts. The first two parts describe the materials necessary to the models expressed in the third part. These materials include splines (variational approach, regression spline, spline in high dimension), and random fields (Markovian field, parametric estimation, stochastic and deterministic optimization, continuous Gaussian field). Most of these models come from industrial projects in which the author was involved in robot vision and radiography: tracking 3D lines, radiographic image processing, 3D reconstruction and tomography, matching, deformation learning. Numerous graphical illustrations accompany the text showing the performance of the proposed models. This book will be useful to researchers and graduate students in applied mathematics, computer vision, and physics.
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Geobild '89: Proceedings of the 4th Workshop on Geometrical Problems of Image Processing, held in Georgenthal (GDR), March 13-17, 1989 (Mathematical research = Mathematische Forschung)
Manufacturer: Akademie-Verlag
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Binding: Unknown Binding
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ASIN: 3055006771 |
Average customer rating:
- A nice collection of papers
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Surveys on Solution Methods for Inverse Problems
Manufacturer: Springer
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Binding: Paperback
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ASIN: 3211834702 |
Book Description
Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term “regularization methods“. This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Customer Reviews:
A nice collection of papers.......2001-04-06
The book is a collection of diverse papers on inverse problems. The papers cover different applications and different techniques applied to inverse problems.
For a starter on inverse problems, the book presents the latest work and provides pointers to follow up the content. This will save a lot of boring library work :)
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