# Catálogo de publicaciones - libros

## Vision with Direction: A Systematic Introduction to Image Processing and Computer Vision

#### Josef Bigun;

### Disponibilidad

Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
---|---|---|---|---|

No detectada | 2006 | SpringerLink |

### Tabla de contenidos

#### Neuronal Pathways of Vision

##### Josef Bigun

In nonlinear electromagnetic field computations, one is not only faced with large jumps of material coefficients across material interfaces but also with high variation in these coefficients even inside homogeneous materials due to the nonlinearity. The radiation condition can conveniently be taken into account by a coupled boundary integral and domain integral variational formulation. The coupled finite and boundary element discretization leads to large-scale nonlinear algebraic systems. In this paper we propose special inexact Newton methods where the Jacobi systems arising in every step of the Newton method are solved by a special preconditioned finite and boundary element tearing and interconnecting solver. The numerical experiments show that the preconditioner proposed in the paper can handle large jumps in the coefficients across the material interfaces as well as high variation in these coef- ficients on the subdomains. Furthermore, the convergence does not deteriorate if many inner subdomains touch the unbounded exterior subdomain.

Part I - Human and Computer Vision | Pp. 3-20

#### Color

##### Josef Bigun

In nonlinear electromagnetic field computations, one is not only faced with large jumps of material coefficients across material interfaces but also with high variation in these coefficients even inside homogeneous materials due to the nonlinearity. The radiation condition can conveniently be taken into account by a coupled boundary integral and domain integral variational formulation. The coupled finite and boundary element discretization leads to large-scale nonlinear algebraic systems. In this paper we propose special inexact Newton methods where the Jacobi systems arising in every step of the Newton method are solved by a special preconditioned finite and boundary element tearing and interconnecting solver. The numerical experiments show that the preconditioner proposed in the paper can handle large jumps in the coefficients across the material interfaces as well as high variation in these coef- ficients on the subdomains. Furthermore, the convergence does not deteriorate if many inner subdomains touch the unbounded exterior subdomain.

Part I - Human and Computer Vision | Pp. 21-32

#### Discrete Images and Hilbert Spaces

##### Josef Bigun

In nonlinear electromagnetic field computations, one is not only faced with large jumps of material coefficients across material interfaces but also with high variation in these coefficients even inside homogeneous materials due to the nonlinearity. The radiation condition can conveniently be taken into account by a coupled boundary integral and domain integral variational formulation. The coupled finite and boundary element discretization leads to large-scale nonlinear algebraic systems. In this paper we propose special inexact Newton methods where the Jacobi systems arising in every step of the Newton method are solved by a special preconditioned finite and boundary element tearing and interconnecting solver. The numerical experiments show that the preconditioner proposed in the paper can handle large jumps in the coefficients across the material interfaces as well as high variation in these coef- ficients on the subdomains. Furthermore, the convergence does not deteriorate if many inner subdomains touch the unbounded exterior subdomain.

Part II - Linear Tools of Vision | Pp. 35-56

#### Continuous Functions and Hilbert Spaces

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 57-60

#### Finite Extension or Periodic Functions—Fourier Coefficients

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 61-68

#### Fourier Transform—Infinite Extension Functions

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 69-83

#### Properties of the Fourier Transform

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 85-101

#### Reconstruction and Approximation

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 103-117

#### Scales and Frequency Channels

##### Josef Bigun

Part II - Linear Tools of Vision | Pp. 119-149

#### Direction in 2D

##### Josef Bigun

Part III - Vision of Single Direction | Pp. 153-207

#### Direction in Curvilinear Coordinates

##### Josef Bigun

Part III - Vision of Single Direction | Pp. 209-244

#### Direction in D, Motion as Direction

##### Josef Bigun

Part III - Vision of Single Direction | Pp. 245-276

#### World Geometry by Direction in Dimensions

##### Josef Bigun

Part III - Vision of Single Direction | Pp. 277-308

#### Group Direction and -Folded Symmetry

##### Josef Bigun

Part IV - Vision in Multiple Directions | Pp. 311-326

#### Reducing the Dimension of Features

##### Josef Bigun

Part V - Grouping, Segmentation, and Region Description | Pp. 329-340

#### Grouping and Unsupervised Region Segregation

##### Josef Bigun

Part V - Grouping, Segmentation, and Region Description | Pp. 341-357

#### Region and Boundary Descriptors

##### Josef Bigun

Part V - Grouping, Segmentation, and Region Description | Pp. 359-375

#### Concluding Remarks

##### Josef Bigun

Part V - Grouping, Segmentation, and Region Description | Pp. 377-378

### Información

Tipo: libros

**ISBN** impreso

978-3-540-27322-6

ISBN electrónico

978-3-540-27323-3

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

2006