Digital representation schemes for 3D curves

Amnon Jonas, Nahum Kiryati*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Digital representation of three-dimensional (3-D) curves is considered. Two-dimensional representation schemes are first reviewed, then methods applicable to curves in three and higher dimensional spaces are described. Desirable properties of curve representation schemes are identified and used as a basis for qualitative and quantitative comparison of the various methods that have been suggested. Conclusions concerning the selection of a digital 3-D curve representation scheme for shape analysis and coding are drawn. It is shown that grid intersect quantization is a poor choice for curve representation in 3-D space and that cube quantization, that leads to 6-connected chain codes, meets all the identified requirements and should be preferred.

Original languageEnglish
Pages (from-to)1803-1816
Number of pages14
JournalPattern Recognition
Issue number11
StatePublished - Nov 1997
Externally publishedYes


  • 3-D discrete curve
  • Chain code
  • Cube quantization
  • Digital line
  • Grid intersect quantization
  • Three-dimensional digitization scheme

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