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Two dimensional Gaussian blur of slanted edgeAs a model of line spread of slanted edge consider the function
where
Fig 1a
Fig 1a - LSF with sigma = 1 and k = 0.09; Fig 1b - xz section at y = 0; Fig 1c - yz section at x = 0; Consider applying 2d Gaussian blur with sigma = ![]() ![]()
Eq. 1 Gaussian blur has two more properties:
and
Tilde means equality up to an intensity scaling constant. The constant doesn't matter in our case because we always scale the LSF to fit in range [0..1]. Using the mentioned properties we can rewrite Eq. 1:
Thus, applying 2d Gaussian blur with sigma =
Oleg Kurtsev (okurtsev@quickmtf.com) |
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