Title page for ETD etd-08092012-040013
|Type of Document
||Brown, Roger Owen
||Effects of grid lattice geometry on digital image filtering
||Master of Science
|Johnson, Steven D.
|McEwen, Robert B.
|Scoop, David S.
|Date of Defense
The spatial distribution of discrete sample points from
an image affect digital image manipulation.
The geometries of the grid lattice and edge are
described for digital images. Edge detecting digital
filters are considered gor segmenting an image. A
comparison is developed between digital filters for two
different digital image grid lattice geometries -- 8-neighbor grid lattice (rectangular tesselation) and the
6-neighbor grid lattice (hexagonal tesselation). Digital
filters for discrete images are developed that are best
approximations to the Laplacian operator applied to
continuous two—dimensional mathematical surfaces.
Discrepancies between the calculated Laplacian and the
digital filtering results are analyzed and a criterion is
developed that compares grid lattice effects. The criterion
shows that digital filtering in a 6-neighbor grid lattice is
preferable to digital filtering in an 8-neighbor grid
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