A general method to derive implicit equations of curves and surfaces using interlineation and interflation of functions

A general method is proposed to derive equations of irregular curves O D ( x , y ) = 0 and of irregular surfaces O G ( x , y , z ) =0 in implicit form, where the functions O D ( x , y ) and O G ( x , y , z ) belong to a prescribed differentiability class. The method essentially involves interlineati...

Full description

Saved in:
Bibliographic Details
Published in:Cybernetics and systems analysis 2011, Vol.47 (1), p.55-61
Main Authors: Lytvyn, O. N., Tkachenko, A. V., Lytvyn, O. O.
Format: Article
Language:English
Subjects:
Approximation
Artificial Intelligence
Control
Cybernetics
Implicit equations
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Methods
Processor Architectures
Software Engineering/Programming and Operating Systems
Studies
Systems analysis
Systems Theory
Topological manifolds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A general method is proposed to derive equations of irregular curves O D ( x , y ) = 0 and of irregular surfaces O G ( x , y , z ) =0 in implicit form, where the functions O D ( x , y ) and O G ( x , y , z ) belong to a prescribed differentiability class. The method essentially involves interlineation and interflation of functions. An example is considered.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-011-9289-3