Surfaces in Three-Dimensional Digital Images.
Abstract
This is one of a serioes of reports on the digital geometry of three-dimensional images, such as those produced by computed tomography. In this report we define simple surface points and simple closed surfaces, and show that any connected collection of simple surface points form a simple closed surface, thus proving a three-dimensional analog of the two-dimensional Jordan curve theorem. We also show that the converse is not a theorem (in contrast to the two-dimensional case) and discuss more complex surfaces types. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1980
- Accession Number
- ADA092075
Entities
People
- Azriel Rosenfeld
- David G. Morgenthaler
Organizations
- University of Maryland