Proximity clouds - an acceleration technique for 3D grid traversal

Daniel Cohen*, Zvi Sheffer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

75 Scopus citations


In this paper we present a new method for the acceleration of ray traversal through a regular 3D grid. A distance transformation is precomputed and mapped onto the empty grid space. A ray traversing the empty space is assisted by the distance values which permit it to perform long skips along the ray direction. We show that the City-Block metric simplifies the preprocessing with no penalty at the traversal phase. Different schemes are discussed and the trade-off between the preprocessing time and the speed-up is analyzed.

Original languageEnglish
Pages (from-to)27-38
Number of pages12
JournalVisual Computer
Issue number1
StatePublished - Jan 1994
Externally publishedYes


  • Distance map
  • Distance transformation
  • Grid traversal
  • Ray tracing
  • Space subdivision

Cite this