Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion - Couverture souple

Hansen, Per Christian

Couverture souple

ISBN 10 : 0898714036 ISBN 13 : 9780898714036

Editeur : Society for Industrial and Applied Mathematics, 1987

Synopsis

An overview of modern computational stabilization methods for linear inversion: applications to audio processing, medical imaging, seismology and other areas.

A propos du livre

Présentation de l'éditeur

Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and the efficiency and reliability of the computations.

Détails de l'édition

• Éditeur: Society for Industrial and Applied Mathematics
• Date d'édition: 1987
• Langue: anglais
• ISBN 10: 0898714036
• ISBN 13: 9780898714036
• Reliure: Broché
• Nombre de pages: 263
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible