Use of the fractal dimension in characterization of terrestrial surfaces

dc.contributor.authorHouck, Dewey Rushen
dc.contributor.departmentCivil Engineeringen
dc.date.accessioned2024-03-12T20:23:27Zen
dc.date.available2024-03-12T20:23:27Zen
dc.date.issued1983en
dc.description.abstractThis thesis investigates the feasibility of using certain descriptive parameters that have been determined to be independent of scale over certain ranges to define the texture and roughness of terrestrial surfaces. The parameters employ the concept of a "fractal dimension" as described by Benoit Mandelbrot and utilized by many others in various cartographic applications. Relationships involving the resolved surface area and volume of digital elevation models were utilized in evaluating the fractal dimension. Three digital elevation models (DEM) were examined with respect to area and volume. Changes in scale and grid data resolution were simulated by decreasing the grid sampling interval of the DEMs in a systematic manner. The three DEMs examined were of a homogeneous character and were sampled on a 3 arc second latitude and longitude grid interval. The DEMs represented three distinct terrain types, subjectively described as smooth, rolling, and rough. The results of the characterization provided distinct terrain roughness differentiation among the DEMs examined. The determined values of fractal dimension were, however, considerably lower than had been predicted in the literature examined. The low fractal dimension values were attributed to the course resolution of the DEM data sets.en
dc.description.degreeM. S.en
dc.format.extentvi, 128 pages, 2 unnumbered leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttps://hdl.handle.net/10919/118357en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 10292389en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1983.H682en
dc.subject.lcshGeometryen
dc.subject.lcshMathematical modelsen
dc.subject.lcshEarth (Planet) – Surfaceen
dc.titleUse of the fractal dimension in characterization of terrestrial surfacesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineCivil Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM. S.en

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
LD5655.V855_1983.H682.pdf
Size:
83.08 MB
Format:
Adobe Portable Document Format

Collections