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Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry

Guerino Mazzola Gérard Milmeister Jody Weissmann

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Discrete Mathematics in Computer Science; Applications of Mathematics; Mathematical Logic and Formal Languages; Mathematics of Computing

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-540-36873-1

ISBN electrónico

978-3-540-36874-8

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer 2006

Tabla de contenidos

Fundamentals–Concepts and Logic

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 3-14

Axiomatic Set Theory

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 15-23

Boolean Set Algebra

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 25-28

Functions and Relations

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 29-44

Ordinal and Natural Numbers

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 45-54

Recursion Theorem and Universal Properties

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 55-71

Natural Arithmetic

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 73-78

Infinities

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 79-80

The Classical Number Domains Z, Q, R, and C

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 81-105

Categories of Graphs

Guerino Mazzola; Gérard Milmeister; Jody Weissmann

The estimation and subsequent use of tissue () parameters at each image location can potentially lead to a more reliable classification of breast tissues. values can be estimated using multiple (typically 3) MRI images of different flip angles. However, breathing and other slight movements can render the highly non-linear estimation procedure error-prone. In this paper, a simultaneous multiple image registration method is proposed to solve this problem. The registration method is built upon the idea of conserving inverse consistency and transitivity among the multiple image transformations. The algorithm is applied to both simulated data and real breast MRI images. The performance is compared with existing pairwise image registration method. The results clearly indicate that the simultaneous multiple image registration algorithm leads to much more accurate estimation.

I - Sets, Numbers, and Graphs | Pp. 107-128