Introduction au traitement mathmatique des images - mthodes dterministes

Ce cours est une introduction au traitement d'image mathmatique dterministe. Les principales problmatiques en traitement et analyse dimage y sont prsentes: dbruitage/filtrage/restauration, segmentation, rehaussement/dfloutage, ainsi quun aperu de quelques techniques dacquisition. Les mthodes mathmatiques utilises ont essentiellement dterministes : transformation de Fourier, ondelettes, quations aux drives partielles, morphologie mathmatique et mthodes variationnelles. Quelques applications y sont brivement prsentes pour illustrer le propos : la stganographie, la compression et linpainting (ou dsocclusion). Le livre comprend galement un rappel des principales notions mathmatiques utilises (il se veut auto-suffisant) et la bibliographie abondante doit permettre au lecteur dapprofondir les techniques qui lintressent. Cet ouvrage sadresse des tudiants de MASTER, lves-ingnieurs ou chercheurs dsireux de comprendre ou dapprofondir les techniques mathmatiques 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 in processing and image analysis.