27 December 2000 Dynamic multiscale image classification
Author Affiliations +
We present and demonstrate a mathematical, physical and logical framework for classifying images at various scales (dynamic and spatio-temporal resolutions) such that the Internet requirements concerning e.g. MPEG7/21 standards and available bandwidth are met. The mathematical and physical framework hinges on the (de) categorification (simplification and abstraction) of the dynamics involved in image formation and the Internet requirements at various scales. Firstly, the dynamics is categorified by an initialization of physical fields, such as color models, subjected to a gauge group capturing various imaging conditions. A decategorification of those fields consists of joint (non-) local geometric and topological equivalences (symmetries or invariants). Secondly, categorifications of dynamic scale-space paradigms for these equivalences are derived incorporating Internet requirements. These paradigms are set up to be robust to particular imaging conditions, Lyapunov instabilities (noise) in image formation and to structural instabilities due to e.g. changes in Internet requirements. The logical framework consists of a decategorification of the various dynamic scale-space paradigms and their evolutions caused by changing Internet requirements in terms of (non-)local symmetries, conservation laws and curvatures. Simple examples of (de) categorifications of dynamic scale-space paradigms taking into account Internet requirements are presented.
© (2000) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alfons H. Salden, Alfons H. Salden, Sorin Marcel Iacob, Sorin Marcel Iacob, "Dynamic multiscale image classification", Proc. SPIE 4311, Internet Imaging II, (27 December 2000); doi: 10.1117/12.411886; https://doi.org/10.1117/12.411886


Back to Top