Explore a conference talk on monogenic representation for self-similar random fields and color images. Delve into the mathematical concepts presented by Hermine Biermé during the thematic meeting "Multifractal analysis and self-similarity" at the Centre International de Rencontres Mathématiques in Marseille, France. Learn about color images, color atoms, Gaussian random measures, complex Gaussian measures, isotropy, stationarity of increments, self-similar fields, elementary fields, and monogenic conduction. Discover how these concepts apply to image analysis and processing. Access additional features such as chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification through CIRM's Audiovisual Mathematics Library.
Monogenic Representation for Self-Similar Random Fields and Color Images
Centre International de Rencontres Mathématiques via YouTube
Overview
Syllabus
Introduction
Color image
Color atom
Example
Outline
Gaussian random measure
Complex Gaussian measure
Isotropy
Stationarity of increments
Selfsimilar fields
Elementary fields
Image as real part
Risk transform
Monogenic conduction
Spherical coordinates
Play with code
Taught by
Centre International de Rencontres Mathématiques
