Collinearity Constraints on Geometric Figures

  • Maharaj Mukherjee
  • George Nagy
Conference paper
Part of the IFIP Series on Computer Graphics book series (IFIP SER.COMP.)


The preservation of collinearity relationships under geometric operations is important in computer-graphics applications that manipulate line arrangements in engineering drawings and geographic information systems. Finite-precision computer implementations of these operations do not generally preserve these relationships. We show that for a wide class of line arrangements, any specified collinearity relationships can be preserved, without extending the precision, at the expense of a bounded displacement of the vertices of the arrangement.


Integer Point Geographic Information System Rensselaer Polytechnic Institute Collinear Point Line Arrangement 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Maharaj Mukherjee
    • 1
  • George Nagy
    • 2
  1. 1.Indian Institute of TechnologyKharagpurIndia
  2. 2.Rensselaer Polytechnic InstituteTroyUSA

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