Implicit variable-radius arc canal surfaces for solid modeling

Oleg Fryazinov, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper we consider the problem of obtaining an implicit form for the canal surface whose spine is the arc and the radius changes linearly in respect to the angle. We present a number of different solutions to the problem including exact and approximated ones and discuss the scenarios where each of the solutions is appropriate to use in solid modeling with real functions.

Original languageEnglish
Pages (from-to)251-258
Number of pages8
JournalComputer-Aided Design and Applications
Issue number3
Publication statusPublished - 16 Apr 2017
Externally publishedYes


  • canal surfaces
  • implicit form
  • Implicit surfaces
  • sphere sweeping


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