扫一扫
关注中图网
官方微博
本类五星书更多>
-
>
宇宙、量子和人类心灵
-
>
(精)BBC地球故事系列-星际旅行
-
>
从一到无穷大
-
>
图说相对论(32开平装)
-
>
一本有趣又有料的化学书
-
>
刘薰宇的数学三书:原来数学可以这样学全3册
-
>
光学零件制造工艺学
图像处理中的数学问题-第2版 版权信息
- ISBN：9787510005381
- 条形码：9787510005381 ; 978-7-5100-0538-1
- 装帧：一般胶版纸
- 册数：暂无
- 重量：暂无
- 所属分类：>>
图像处理中的数学问题-第2版 本书特色
《图像处理中的数学问题(第2版)(英文版)》由世界图书出版公司出版。
图像处理中的数学问题-第2版 内容简介
简介 《图像处理中的数学问题(第2版)(英文版)》由世界图书出版公司出版。
图像处理中的数学问题-第2版 目录
foreword
preface to the second edition
preface to the first edition
guide to the main mathematical concepts and
their application
notation and symbols
1 introduction
1.1 the image society
1.2 what is a digital image?
1.3 about partial differential equations (pdes)
1.4 detailed plan
2 mathematical preliminaries
how to read this chapter
2.1 the direct method in the calculus of variations...
2.1.1 topologies on banach spaces
2.1.2 convexity and lower semicontinuity .
2.1.3 relaxation
2.1.4 about f-convergence
2.2 the space of functions of bounded variation
2.2.1 basic definitions on measures
2.2.2 definition of bv(ft)
2.2.3 properties of bv(f~)
2.2.4 convex functions of measures
2.3 viscosity solutions in pdes
2.3.1 about the eikonal equation
2.3.2 definition of viscosity solutions
2.3.3 about the existence
2.3.4 about the uniqueness
2.4 elements of differential geometry: curvature
2.4.1 parametrized curves
2.4.2 curves as isolevel of a function u
2.4.3 images as surfaces
2.5 other classical results used in this book
2.5.1 inequalities
2.5.2 calculus facts
2.5.3 about convolution and smoothing
2.5.4 uniform convergence
2.5.5 dominated convergence theorem
2.5.6 well-posed problems
3 image restoration
how to read this chapter
3.1 image degradation
3.2 the energy method
3.2.1 an inverse problem
3.2.2 regularization of the problem
3.2.3 existence and uniqueness of a solution for the minimization problem
3.2.4 toward the numerical approximation
the projection approach
the half-quadratic minimization approach
3.2.5 some invariances and the role of a
3.2.6 some remarks on the nonconvex case
3.3 pde-based methods
3.3.1 smoothing pdes
the heat equation
nonlinear diffusion
the alvarez-guichard-lions-morel
scale space theory
weickert's approach
surface based approaches
3.3.2 smoothing-enhancing pdes
the perona and malik model
……
4 the segmentation problem
5 other challenging applications
a introduction to finite difference methods
b experiment yourself!
references
index
preface to the second edition
preface to the first edition
guide to the main mathematical concepts and
their application
notation and symbols
1 introduction
1.1 the image society
1.2 what is a digital image?
1.3 about partial differential equations (pdes)
1.4 detailed plan
2 mathematical preliminaries
how to read this chapter
2.1 the direct method in the calculus of variations...
2.1.1 topologies on banach spaces
2.1.2 convexity and lower semicontinuity .
2.1.3 relaxation
2.1.4 about f-convergence
2.2 the space of functions of bounded variation
2.2.1 basic definitions on measures
2.2.2 definition of bv(ft)
2.2.3 properties of bv(f~)
2.2.4 convex functions of measures
2.3 viscosity solutions in pdes
2.3.1 about the eikonal equation
2.3.2 definition of viscosity solutions
2.3.3 about the existence
2.3.4 about the uniqueness
2.4 elements of differential geometry: curvature
2.4.1 parametrized curves
2.4.2 curves as isolevel of a function u
2.4.3 images as surfaces
2.5 other classical results used in this book
2.5.1 inequalities
2.5.2 calculus facts
2.5.3 about convolution and smoothing
2.5.4 uniform convergence
2.5.5 dominated convergence theorem
2.5.6 well-posed problems
3 image restoration
how to read this chapter
3.1 image degradation
3.2 the energy method
3.2.1 an inverse problem
3.2.2 regularization of the problem
3.2.3 existence and uniqueness of a solution for the minimization problem
3.2.4 toward the numerical approximation
the projection approach
the half-quadratic minimization approach
3.2.5 some invariances and the role of a
3.2.6 some remarks on the nonconvex case
3.3 pde-based methods
3.3.1 smoothing pdes
the heat equation
nonlinear diffusion
the alvarez-guichard-lions-morel
scale space theory
weickert's approach
surface based approaches
3.3.2 smoothing-enhancing pdes
the perona and malik model
……
4 the segmentation problem
5 other challenging applications
a introduction to finite difference methods
b experiment yourself!
references
index
展开全部
图像处理中的数学问题-第2版 节选
《图像处理中的数学问题(第2版)(英文版)》内容简介：Introduction、The Image Society、What Is a Digital Image、About Partial Differential Equations（PDEs）、Detailed Plan、Mathematical Preliminaries、How to Read This Chapter、The Direct Method in the Calculus of Vgriations、Topologies on Banach Spaces、Convexity and Lower Semicontinuity、Rclaxation、Aboutr-Convergence、The Space of Functions of Bounded Variation、Basic Definitions on Measures、Definition ofBV（Ω）、Properties ofBV（Ω）、Convex Functions of Measures、Viscosity Solutions in PDEs等等。
图像处理中的数学问题-第2版 相关资料
插图：The message we wish to convey iS that the intuition that lcads to certain formulations and the underlying theoretical study are often complementary．Developing a theoretical justification of a problem is not simply“art for art's sake．”In particular，a deep understanding of the theoretical difficulties may lead to the development of suitable numerical schemes or different models．This book iS concerned with the mathematical study of certain image processing problems．Thus we target two audiences：The first iS the mathematical community．and we show the contribution of mathematics to this domain by studying classical and challenging problems that come from computer vision．It is also the occasion to highlight some difficult and unsolved theoretical questions．The second is the computer vision community：we present a clear． selLC0ntained．and global overview of the mathematics involved for the problems of image restoration，image segmentation，sequence analysis，and image classification．We hope that 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．This book iS divided into seven main parts．Chapter 1 introduces the subject and gives a detailed plan of the book．In Chapter 2，most of the mathematical notions used therein are recalled in an educative fashion and illustrated in detail．In Chapters 3 and 4 we examine how PDES and variational methods can be Successfully applied in the restoration and segmentation of one image．Chapter 5 is more applied，and some challenging computer vision problems are described，such as inpainting，sequence analysis，classification or vector-valued image processing．Since the final goal of any approach is to compute a numerical solution，we propose an introduction to the method of fini
书友推荐
- >
罗庸西南联大授课录
罗庸西南联大授课录
¥13.8¥32.0 - >
经典常谈
经典常谈
¥17.1¥39.8 - >
中国人在乌苏里边疆区:历史与人类学概述
中国人在乌苏里边疆区:历史与人类学概述
¥24.0¥48.0 - >
有舍有得是人生
有舍有得是人生
¥19.4¥45.0 - >
我从未如此眷恋人间
我从未如此眷恋人间
¥16.4¥49.8 - >
莉莉和章鱼
莉莉和章鱼
¥18.1¥42.0 - >
上帝之肋:男人的真实旅程
上帝之肋:男人的真实旅程
¥19.3¥35.0 - >
月亮虎
月亮虎
¥17.8¥48.0
本类畅销
-
2022图书×抽奖盲袋
¥9.9¥25 -
2023读书月阅读盲盒——天黑，闭眼，刀谁？
¥42.3¥158 -
-
2022读者节纪念徽章-三星会员专属
¥45¥45.6 -
2023读书月阅读盲盒——我什么场面没见过？
¥42.3¥158 -
2023读书月阅读盲盒——去码头整点什么薯条？
¥42.3¥158
