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Recognition of facial expressions - Knowledge Based Systems ...

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Spatial Filtering<br />

The spatial filtering technique is used for enhancing or improving images by applying<br />

filter function or filter operators in the domain <strong>of</strong> image space (x,y) or spatial frequency<br />

(x,h). Spatial filtering methods were applied in the domain <strong>of</strong> image space and aimed at<br />

face image enhancement with so-called enhancement filters. While applied in the domain<br />

<strong>of</strong> spatial frequency they are aimed at reconstruction with reconstruction filters.<br />

Filtering in the Domain <strong>of</strong> Image Space<br />

In the case <strong>of</strong> digital image data, spatial filtering in the domain <strong>of</strong> image space was<br />

achieved by local convolution with an n x n matrix operator as follows.<br />

In the previous relation, f is the input image, h is the filter function and g is the output<br />

image.<br />

The convolution was created by a series <strong>of</strong> shift-multiply-sum operators with an nXn<br />

matrix (n: odd number). Because the image data were large, n was selected as 3. The<br />

visual processing library used for the project also included convolution routines that used<br />

larger matrixes.<br />

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