Morphological statistics of natural images and consequences

Yann Gousseau

doi:10.1117/12.408605

4 December 2000 Morphological statistics of natural images and consequences

Yann Gousseau

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408605
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

We present statistics on natural images dealing with homogeneous and connected regions, defined as connected components of differences of level sets. We show that their area is distributed according to a power law. From these experimental results, we show precisely how the modeling of images as functions of bounded variation, widely used in image restoration methods, is incompletely adapted to natural images. For this purpose we use a model of convolution and sampling for the formation of images. We also use our experimental results to confirm the scale invariance of natural images.

Citation Download Citation

Yann Gousseau "Morphological statistics of natural images and consequences", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408605

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