Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
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Beschreibung
This manuscript describes some mathematical problems arising in image analysis and computer vision. The authors consider both variational and pde approaches. The description focuses on theoretical- mathematical aspects of the problems, as well as on their applications and numerical descretiziations. This book is intended to be a reference and a basis for advanced courses in the fields of applied mathematics and computer vision.
Includes supplementary material: sn.pub/extras
Autor*in
Gilles Aubert
Themen in »Mathematical Problems in Image Processing«
Calculus of Variations Mathematica PDE PDEs in image processing Partial Differential Equations computer computer vision differential equation image analysis image processing image restoration mathematics partial differential equation variational methods in image processing
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From the reviews:
MATHEMATICAL REVIEWS
"The authors have substantially contributed to many aspects of the subject…The level of the book is advanced, and the exposition very clear, developed in depth, and to some extent self-contained. The proofs of the main theorems are usually given in detail; when necessary there is also a precise reference to the ample literature on the specific topic. This book will certainly interest both mathematicians (some interesting, still open theoretical questions there are highlighted) and researchers in computer vision…The books substantial and up-to-date body for reference is a detailed guide to the literature on the many aspects of image processing."
G. Aubert and P. Kornprobst
Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
"This book is devoted to a detailed presentation of several aspects of mathematical problems in image processing . . . The authors have substantially contributed to many aspects of their subject . . . The level of the book is advanced, and the to some extent self-contained . . . This book will certainly interest both mathematicians (some interesting, still open theoretical questions here are highlighted) and researchers in computer vision."—MATHEMATICAL REVIEWS
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