A Symbolic-Numeric Approach to Tube Modeling in CAD Systems

Gerrit Sobottka and Andreas Weber
In proceedings of Computer Algebra in Scientific Computing (CASC '06), pages 279-283, 2006
Presented at Computer Algebra in Scientific Computing (CASC '06)
 

Abstract

In this note we present a symbolic-numeric method to the problem of tube modeling in CAD systems. Our approach is based on the Kirchhoff kinetic analogy which allows us to find analytic solutions to the static Kirchhoff equations for rods under given boundary conditions.

Keywords: computer algebra, hair modelling, Kirchhoff models

Bibtex

@INPROCEEDINGS{sobottka-2006-a-symbolic,
      author = {Sobottka, Gerrit and Weber, Andreas},
       pages = {279--283},
       title = {A Symbolic-Numeric Approach to Tube Modeling in CAD Systems},
   booktitle = {Computer Algebra in Scientific Computing (CASC '06)},
      series = {Lecture Notes in Computer Science},
      volume = {4194},
        year = {2006},
    keywords = {computer algebra, hair modelling, Kirchhoff models},
    abstract = {In this note we present a symbolic-numeric method to the
                               problem of tube modeling in CAD systems. Our approach is based on
                               the Kirchhoff kinetic analogy which allows us to find analytic
                               solutions to the static Kirchhoff equations for rods under given
                               boundary conditions.},
  conference = {Computer Algebra in Scientific Computing (CASC '06)}
}