On swept volume formulations: Implicit surfaces

K. Abdel-Malek, J. Yang, D. Blackmore

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Recent developments in the formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.

Original languageEnglish (US)
Pages (from-to)113-121
Number of pages9
JournalCAD Computer Aided Design
Issue number1
StatePublished - Jan 2001

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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