Abstract
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.
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© 1993 Springer-Verlag Berlin Heidelberg
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Mukherjee, M., Nagy, G. (1993). Collinearity Constraints on Geometric Figures. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_7
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DOI: https://doi.org/10.1007/978-3-642-78114-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78116-2
Online ISBN: 978-3-642-78114-8
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