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Virginia Tech

Effects of grid lattice geometry on digital image filtering

Abstract

dc:description.abstract

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 for 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 lattice.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Civil Engineering
Department dc:contributor.department
Civil Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1989

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Brown, Roger Owen
Chairs dc:contributor.committeechair
  • Johnson, Steven D.
  • Kottman, Clifford
Committee members dc:contributor.committeemember
  • McEwen, Robert B.
  • Scoop, David S.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-08092012-040013
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/34442

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Brown, Roger Owen. Effects of grid lattice geometry on digital image filtering. masters thesis, Virginia Tech, 1989. http://hdl.handle.net/10919/34442