Ce cours est une introduction au traitement d'image math?matique d?terministe. Les principales probl?matiques en traitement et analyse dimage y sont pr?sent?es: d?bruitage/filtrage/restauration, segmentation, rehaussement/d?floutage, ainsi quun aper?u de quelques techniques dacquisition. Les m?thodes math?matiques utilis?es ont essentiellement d?terministes : transformation? de Fourier, ondelettes,? ?quations aux d?riv?es partielles, morphologie math?matique et m?thodes variationnelles. Quelques applications y sont bri?vement pr?sent?es pour illustrer le propos : la st?ganographie, la compression et linpainting (ou d?socclusion). Le livre comprend ?galement? un rappel des principales notions math?matiques utilis?es (il se veut auto-suffisant) et la bibliographie abondante doit permettre au lecteur dapprofondir les techniques qui lint?ressent.
Cet ouvrage sadresse ? des ?tudiants de MASTER, ?l?ves-ing?nieurs ou chercheurs d?sireux? de comprendre ou dapprofondir les techniques math?matiques? de base? en traitement et analyse dimage.
This course is an introduction to deterministic mathematical image processing. The main issues in processing and image analysis are presented:?denoising,?filtering,?restoration,?segmentation,?enhancement?and?deblurring.There is also?an?overview of some acquisition techniques. Mathematical methods are essentially deterministic: Fourier transform, wavelets, partial differential equations, mathematical morphology and variational methods. Some applications are briefly presented to illustrate the topic,?such as steganography, compression and inpainting. This?self-contained?book also includes a?recap?of the basic mathematical concepts used, and the extensive bibliography?will enable readers to develop their skills.
This book is intended for?masters?students, engineering students and researchers?wanting?to?comprehend or deepen??their?understanding of thebasic mathematical techniques lS: