Algorithms for ray-shooting and intersection searching

Siu Wing Cheng, Ravi Janardan

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


Space-efficient algorithms are presented for some geometric intersection searching problems such as ray-shooting, segment intersection searching, and triangle stabbing. The algorithms for ray-shooting and segment intersection searching improve upon the algorithms given previously. These algorithms also have significantly lower query times than the algorithms previously presented, but the space is larger by a low-degree polylog factor. Efficient dynamic algorithms are also presented for the above problems and for triangle range searching by taking advantage of their decomposability.

Original languageEnglish (US)
Pages (from-to)670-692
Number of pages23
JournalJournal of Algorithms
Issue number4
StatePublished - Dec 1992

Bibliographical note

Funding Information:
*Research partly supported by a grant-in-aid of research from the Graduate School of the University of Minnesota. The second author was also supported in part by NSF Grant CCR-8808574.


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