Dynamic multiscale image classification

Alfons H. Salden; Sorin Marcel Iacob

doi:10.1117/12.411886

27 December 2000 Dynamic multiscale image classification

Alfons H. Salden, Sorin Marcel Iacob

Proceedings Volume 4311, Internet Imaging II; (2000) https://doi.org/10.1117/12.411886
Event: Photonics West 2001 - Electronic Imaging, 2001, San Jose, CA, United States

Abstract

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.

Citation Download Citation

Alfons H. Salden and Sorin Marcel Iacob "Dynamic multiscale image classification", Proc. SPIE 4311, Internet Imaging II, (27 December 2000); https://doi.org/10.1117/12.411886

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KEYWORDS

Internet

Video

Classification systems

Image segmentation

Image acquisition

Image classification

Quantization

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