# Experiment 10

## Synthesis by multi-scale Gabors and DoGs

In experiment 10, we select the elements of active basis from a dictionary of Gabor wavelets and Difference of Gaussian (DoG) wavelets at different scales. We use the shared sketch algorithm with sigmoid pursuit index. We use matching pursuit for reconstruction.

(1) data, codes, and readme for reconstruction (July 2008) data source: internet.
The codes in this experiment are not optimized for speed. But it is easy to read and develop.

The selected Gabor elements at 3 different scales and the selected DoG elements. The sizes of the Gabor elements are 35, 25, and 17 respectively. The sizes of DoG elements are 77 and 55 respectively. The DoG elements are illustrated by circles. The radius of a circle is about half of that of the blob represented by the corresponding DoG elements. Larger circles are darker than smaller ones. The allowed activity of location is 4 pixels for both Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 50 selected Gabor and DoG elements. The smaller scale Gabors are illustrated with darker bars. The remaining boxes display the original images and the corresponding reconstructed images. The image size is 102 $\times$ 100. eps

(1.1) getting residual image

The fist box displays all the 150 selected Gabor and DoG elements. The remaining boxes display the reconstructed images and the corresponding residual images. eps

(1.2) sketch at a larger scale
(1.3) code for creating demo (not polished)
(1.4) code for creating matching pursuit demo (not polished)

(2) another example (July 2008) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 50 selected Gabor and DoG elements. The remaining boxes display the original 95 $\times$ 100 images and the corresponding reconstructed images. eps

(3) another example (July 2008) data source: Lotus Hill Institute.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 50 selected Gabor and DoG elements. The remaining boxes display the original 84 $\times$ 105 images and the corresponding reconstructed images. eps

(4) another example (July 2008) data source: internet.

Experiment 10.4. Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 40 selected Gabor and DoG elements. The remaining boxes display the 100 $\times$ 70 original images and the corresponding reconstructed images. eps

(5) another example (July 2008) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 40 selected Gabor and DoG elements. The remaining boxes display the original 100 $\times$ 110 images and the corresponding reconstructed images. eps

(6) another example (July 2008) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 50 selected Gabor and DoG elements. The remaining boxes display the original 102 $\times$ 100 images and the corresponding reconstructed images. eps

(7) another example (July 2008) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 50 selected Gabor and DoG elements. The remaining boxes display the original 100 $\times$ 100 images and the corresponding reconstructed images. eps

(8) another example (January 2009) data source: Lotus Hill Institute.

The fist box displays all the 120 selected Gabor and DoG elements. The remaining boxes display the original 100 $\times$ 100 images and the corresponding reconstructed images. eps

(9) another example (January 2009) data source: Lotus Hill Institute.

The fist box displays all the 120 selected Gabor and DoG elements. The remaining boxes display the original 100 $\times$ 100 images and the corresponding reconstructed images. eps

(10) another example (January 2009) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 80 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(11) another example (January 2009) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 80 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(12) another example (January 2009) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 80 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(13) another example (January 2009) data source: Lotus Hill Institute.

The fist box displays all the 80 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(14) another example (January 2009) data source: internet.

The fist box displays all the 80 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(15) another example (January 2009) data source: internet.

The fist box displays all the 100 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(16) another example (January 2009) data source: internet.

The fist box displays all the 100 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

(17) another example (July 2008) data source: internet.

Selected Gabor and DoG elements. eps1 eps2 eps3 eps4

The fist box displays all the 100 selected Gabor and DoG elements. The remaining boxes display the original images and the corresponding reconstructed images. eps

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