Two-dimensional Windows
Two-dimensional windows are utilized in, e.g., image processing. They can be constructed from one-dimensional windows in either of two forms.
The separable form, is trivial to compute but creates corners that depend on the (arbitrary) orientation of the coordinate axes. The unseparable form, involves the radius . In terms of their frequency response, the separable form will be direction-dependent while the nonseparable form will be isotropic. This is akin to the result of diffraction from rectangular vs. circular appertures, which can be visualized in terms of the product or two sinc function vs. an Airy function, respectively.
Read more about this topic: Window Function
Famous quotes containing the word windows:
“I came on a great house in the middle of the night
Its open lighted doorway and its windows all alight,
And all my friends were there and made me welcome too;
But I woke in an old ruin that the winds howled through;
And when I pay attention I must out and walk
Among the dogs and horses that understand my talk.”
—William Butler Yeats (1865–1939)