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图像分析中的模型和逆问题
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图像分析中的模型和逆问题

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作为数学问题的图像处理

作为数学问题的图像处理

2019-06-15 16:59:38
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图文详情
  • ISBN:9787510070198
  • 装帧:一般胶版纸
  • 册数:暂无
  • 重量:暂无
  • 开本:24开
  • 页数:309
  • 出版时间:2014-11-01
  • 条形码:9787510070198 ; 978-7-5100-7019-8

本书特色

this book fulfills a need in the field of computer science research and education. it is not intended for professional mathematicians, but it undoubtedly deals with applied mathematics. most of the expectations of the topic are fulfilled: precision, exactness, completeness, and excellent references to the original historical works. however, for the sake of read-ability, many demonstrations are omitted. it is not a book on practical image processing, of which so many abound, although all that it teaches is directly concerned with image analysis and image restoration. it is the perfect resource for any advanced scientist concerned with a better un-derstanding of the theoretical models underlying the methods that have efficiently solved numerous issues in robot vision and picture processing.

内容简介

《图像分析中的模型和逆问题》,本书是一部十分优秀的讲述成像分析中的贝叶斯成像和样条模型的教材。随着更多数学家在新兴学科数字成像数理中参与地越来越多,并且在解决复杂问题的模型建立方面扮演越来越重要的角色,做出的贡献也日益呈现。这本书出现显得尤为重要。本书更多地强调基于能量的模型,这些模型大多源于作者参与的机器人视野和X光线照相术,如追踪3D线、射线图像处理、3D重组和X线断层摄影术、等等的工业项目。读者对象:该书的目标读者是想学习更多在成像处理应用的数理统计人员和想要将数学知识应用于自身研究的工程人员。

目录

foreword by henri maitreacknowledgmentslist of figuresnotation and symbols1  introduction  1.1   about modeling    1.1.1  bayesian approach    1.1.2  inverse problem    1.1.3  energy-based formulation    1.1.4  models  1.2   structure of the book  spline models2  nonparametrie spline models  2.1   definition  2.2   optimization    2.2.1  bending spline    2.2.2  spline under tension    2.2.3  robustness  2.3   bayesian interpretation  2.4   choice of regularization parameter  2.5   approximation using a surface    2.5.1  l-spline surface    2.5.2  quadratic energy    2.5.3  finite element optimization3  parametric spline models  3.1   representation on a basis of b-splines    3.1.1  approximation spline    3.1.2  construction of b-splines  3.2   extensions    3.2.1  multidimensional case    3.2.2  heteroscedasticity  3.3   high-dimensional splines    3.3.1  revealing directions    3.3.2  projection pursuit regression4  auto-associative models  4.1   analysis of multidimensional data    4.1.1  a classical approach    4.1.2  toward an alternative approach  4.2   auto-associative composite models    4.2.1  model and algorithm    4.2.2  properties  4.3   projection pursuit and spline smoothing    4.3.1  projection index    4.3.2  spline smoothing  4.4   illustrationⅱ  markov models5  fundamental aspects  5.1   definitions    5.1.1  finite markov fields    5.1.2  gibbs fields  5.2   markov-gibbs equivalence  5.3   examples    5.3.1  bending energy    5.3.2  bernoulli energy    5.3.3  gaussian energy  5.4   consistency problem6  bayesian estimation  6.1   principle  6.2   cost functions    6.2.1  cost b-hnction examples    6.2.2  calculation problems7  simulation and optimization  7.1   simulation    7.1.1  homogeneous markov chain    7.1.2  metropolis dynamic    7.1.3  simulated gibbs distribution  7.2   stochastic optimization  7.3   probabilistic aspects  7.4   deterministic optimization    7.4.1  icm algorithm    7.4.2  relaxation algorithms8  parameter estimation  8.1   complete data    8.1.1  maximum likelihood    8.1.2  maximum pseudolikelihood    8.1.3  logistic estimation  8.2   incomplete data    8.2.1  maximum likelihood    8.2.2  gibbsian em algorithm    8.2.3  bayesian calibration  ⅲ  modeling in action9  model-building  9.1   multiple spline approximation    9.1.1  choice of data and image characteristics    9.1.2  definition of the hidden field    9.1.3  building an energy  9.2   markov modeling methodology    9.2.1  details for implementation10 degradation in imaging    10.1  denoising    10.1.1 models with explicit discontinuities    10.1.2 models with implicit discontinuities    10.2  deblurring    10.2.1 a particularly ill-posed problem    10.2.2 model with implicit discontinuities    10.3  scatter    10.3.1 direct problem    10.3.2 inverse problem  10.4  sensitivity functions and image fusion    10.4.1 a restoration problem    10.4.2 transfer function estimation    10.4.3 estimation of stained transfer function11 detection of filamentary entities  11.1  valley detection principle    11.1.1 definitions    11.1.2 bayes-markov formulation  11.2  building the prior energy    11.2.1 detection term    11.2.2 regularization term  11.3  optimization  11.4  extension to the case of an image pair12 reconstruction and projections  12.1  projection model    12.1.1 transmission tomography    12.1.2 emission tomography  12.2  regularized reconstruction    12.2.1 regularization with explicit discontinuities   12.2.2 three-dimensional reconstruction  12.3  reconstruction with a single view    12.3.1 generalized cylinder    12.3.2 training the deformations    12.3.3 reconstruction in the presence of occlusion13 matching  13.1  template and hidden outline    13.1.1 rigid transformations    13.1.2 spline model of a template  13.2  elastic deformations    13.2.1 continuous random fields    13.2.2 probabilistie aspectsreferencesauthor indexsubject index 
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作者简介

Bernard Chalmond是国际知名学者,在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果,适用于科研工作者、高校教师和研究生。

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