In the equation above, G represents the image. In the sections that follow, we will apply this property again and again.

Shift Invariance. The result of convolution with a kernel is the same regardless of where in the image a particular set of pixels is located. Thus, convolution with the image of a planet will produce the same output whether the planet is loRichard Berry and James Burnell 375

cated in the center of an image or near the edge.

Commutativity. This property means that the destination of a sequence of convolutions does not depend on the order in which you apply them. Thus:

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