Characteristics of Natural Scenes Related to the Fractal Dimension
IEEE Transactions on Pattern Analysis and Machine Intelligence
What is the goal of sensory coding?
Neural Computation
Fractal image compression: theory and application
Fractal image compression: theory and application
Digital Color Imaging Handbook
Digital Color Imaging Handbook
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
Speeding Up Fractal Image Compression by Genetic Algorithms
Multidimensional Systems and Signal Processing
Spatial adaptive Bayesian wavelet threshold exploiting scale and space consistency
Multidimensional Systems and Signal Processing
Extended fractal analysis for texture classification and segmentation
IEEE Transactions on Image Processing
A review of the fractal image coding literature
IEEE Transactions on Image Processing
FIRE: fractal indexing with robust extensions for image databases
IEEE Transactions on Image Processing
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To contribute to the important task of characterizing the complex multidimensional structure of natural images, a fractal characterization is proposed for the colorimetric organization of natural color images. This is realized from their three-dimensional RGB color histogram, by applying a box-counting procedure to assess the dimensionality of its support. Regular scaling emerges, almost linear over the whole range of accessible scales, and with non-integer slope in log-log allowing the definition of a capacity dimension for the histogram. This manifests a fractal colorimetric organization with a self-similar structure of the color palette typically composing natural images. Such a fractal characterization complements other previously known fractal properties of natural images, some reported recently in their colorimetric organization, and others reported more classically in their spatial organization. Such fractal multiscale features uncovered in natural images provide helpful clues relevant to image modeling, processing and visual perception.