Image shrinking

length of arrows indicates

pixel values (intensities)

Sum up all pixel

values that are covered

by the box of width

1/a centered at the

pixel that we are

computing.

If box function of width 1 is h(x), then:

• box function of width 1/a is h(ax)

• box function of width 1/a centered at n/a is h(a(x-n/a)) = h(ax-n)

• add a scale factor a, so that we do not get high intensities:

sum these pixels

1/a

n/a

n-th pixel

0

1/a

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