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Virginia Polytechnic Institute and State University

Topographic classification of digital image intensity surfaces

Abstract

dc:description.abstract

A complete mathematical treatment is given for describing the topographic primal sketch of the underlying grey tone intensity surface of a digital image. Each picture element is independently classified and assigned a unique descriptive label, invariant under monotonically increasing grey tone transformations, from the set {peak, pit, ridge, ravine, saddle, flat, and hillside}, with hillside having subcategories {inflection point, slope, convex hill, concave hill, and saddle hill}. The topographic classification is based on the first and second directional derivatives of the estimated image intensity surface. Three different sets of basis functions, bicubic polynomial (local facet model), generalized splines, and the discrete cosine basis, are used to estimate the image intensity surface using a least squares technique. Zero-crossings of the first directional derivative are identified as locations of interest in the image.

Degree

thesis:*
Name thesis:degree_name
M.S.
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Computer Science and Applications
Department dc:contributor.department
Computer Science and Applications
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1983

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Laffey, Thomas Joseph

Rights

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

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/101438
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/101438

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

Laffey, Thomas Joseph. Topographic classification of digital image intensity surfaces. masters thesis, Virginia Polytechnic Institute and State University, 1983. http://hdl.handle.net/10919/101438