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:
“The frost was on the village roofs as white as ocean foam;
The good red fires were burning bright in every ‘longshore home;
The windows sparkled clear, and the chimneys volleyed out;
And I vow we sniffed the victuals as the vessel went about.”
—Robert Louis Stevenson (1850–1894)