Implicit functions with guaranteed differential properties Article

Shapiro, V, Tsukanov, I. (1999). Implicit functions with guaranteed differential properties . 258-269. 10.1145/304012.304038

cited authors

  • Shapiro, V; Tsukanov, I

authors

abstract

  • Theory of R-functions provides the methodology for constructing exact implicit functions for any semi-analytic set. This paper systematically explores and compares the known constructions in terms of their differential properties and explains how such functions may be constructed automatically from CSG and boundary representations of solids. The constructed functions may be automatically differentiated and integrated and have many important applications in mesh-free engineering analysis, motion planning, and scientific visualization.

publication date

  • January 1, 1999

Digital Object Identifier (DOI)

start page

  • 258

end page

  • 269