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DigitalVideoAndHDTVAlgorithmsAndInterfaces.pdf

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Don’t confuse PSF with<br />

progressive segmented-frame<br />

(PsF), described on page 62.<br />

Figure 5.1 “Box” reconstruction<br />

of a bitmapped graphic<br />

image is shown.<br />

Image structure 5<br />

A naive approach to digital imaging treats the image as<br />

a matrix of independent pixels, disregarding the spatial<br />

distribution of light intensity across each pixel. You<br />

might think that optimum image quality is obtained<br />

when there is no overlap between the distributions of<br />

neighboring pixels; many computer engineers hold this<br />

view. However, continuous-tone images are best reproduced<br />

if there is a certain degree of overlap; sharpness<br />

is reduced slightly, but pixel structure is made less<br />

visible and image quality is improved.<br />

The distribution of intensity across a displayed pixel is<br />

referred to as its point spread function (PSF). A onedimensional<br />

slice through the center of a PSF is colloquially<br />

called a spot profile. A display’s PSF influences<br />

the nature of the images it reproduces. The effects of<br />

a PSF can be analyzed using filter theory, which I will<br />

discuss for one dimension in the chapter Filtering and<br />

sampling, on page 141, and for two dimensions in<br />

Image digitization and reconstruction, on page 187.<br />

A pixel whose intensity distribution uniformly covers<br />

a small square area of the screen has a point spread<br />

function referred to as a “box.” PSFs used in continuous-tone<br />

imaging systems usually peak at the center of<br />

the pixel, fall off over a small distance, and overlap<br />

neighboring pixels to some extent.<br />

Image reconstruction<br />

Figure 5.1 reproduces a portion of a bitmapped (bilevel)<br />

graphic image, part of a computer’s desktop display.<br />

Each sample is either black or white. The element with<br />

43

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