Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images

We construct a complete metric space $(Y,d_Y)$ of measure-valued images, $\mu : X \to {\cal M}(\mathbb{R}_g)$, where $X$ is the base or pixel space and ${\cal M}(\mathbb{R}_g)$ is the set of probability measures supported on the greyscale range $\mathbb{R}_g$. Such a formalism is well suited to nonl...

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Veröffentlicht in:	SIAM journal on imaging sciences 2009-01, Vol.2 (2), p.470-507
Hauptverfasser:	La Torre, D., Vrscay, E. R., Ebrahimi, M., Barnsley, M. F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Fractal analysis Fractal transforms Invariants Mathematical models Metric space Self-similarity Similarity
Online-Zugang:	Volltext
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