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Fractal descriptors in the Fourier domain applied to color texture analysis
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10.1063/1.3650233
/content/aip/journal/chaos/21/4/10.1063/1.3650233
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/4/10.1063/1.3650233

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Fourier spectrum is divided into radial rings and the power spectrum P is averaged over each ring. The frequency f corresponds to the average distance of each ring to the center of the spectrum.

Image of FIG. 2.
FIG. 2.

(Color online) Calculus of the fractal dimension of textures. (a) Original texture. (b) Power spectrum. (c) Log-log curve of power spectrum × frequency.

Image of FIG. 3.
FIG. 3.

(Color online) Illustration of the richness of texture fractal descriptors. At left, two textures with similar fractal dimensions. At right, the fractal descriptors for each texture and the clear visual distinction between them.

Image of FIG. 4.
FIG. 4.

(Color online) A scheme of the proposed method. From up to down, the original texture, the transformed channels, the Fourier curve for each channel, and the final descriptor.

Image of FIG. 5.
FIG. 5.

Proposed method generic algorithm.

Image of FIG. 6.
FIG. 6.

(Color online) The ability of the proposed descriptors in the discrimination of texture classes. Left, we see texture images from two classes and their respective descriptors. Right, the descriptors are plotted in a same graph, showing visually the high discrimination potential.

Image of FIG. 7.
FIG. 7.

(Color online) One image sample from each class of the Vistex dataset. From up to down, left to right: Sand, Tile, Water, Bark, Fabric, Food, and Metal.

Image of FIG. 8.
FIG. 8.

(Color online) Some image samples (one from each class) from the USPTex dataset.

Image of FIG. 9.
FIG. 9.

Surface visualization of confusion matrices for the classification of USPTex dataset using the compared descriptors. (a) Chromaticity moment. (b) Histogram. (c) Gabor. (d) Fourier.

Tables

Generic image for table
Table I.

Percentage correctness rate and respective confidence interval in the classification of Vistex dataset using statistical metrics extracted from MFD curve.

Generic image for table
Table II.

Percentage correctness rate and respective confidence interval in the classification of the tested datasets by the compared descriptors.

Generic image for table
Table III.

Confusion matrices for the classification of Vistex dataset using the compared descriptors. (a) Chromaticity moment. (b) Histogram. (c) Gabor. (d) Fourier.

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/content/aip/journal/chaos/21/4/10.1063/1.3650233
2011-10-18
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fractal descriptors in the Fourier domain applied to color texture analysis
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/4/10.1063/1.3650233
10.1063/1.3650233
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