Abstract
Reliable computing techniques, like interval arithmetic, can be used to guarantee reliable solutions even in the presence of numerical round-off errors. The use of such techniques can eliminate the need to trace bounds for the error function separately.
In this paper, we show how the techniques and algorithms of reliable computing can be applied to the construction and further processing of hierarchical solid representations, using the octree model as an example.
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Dyllong, E. (2009). Some Applications of Interval Arithmetic in Hierarchical Solid Modeling. In: Cuyt, A., Krämer, W., Luther, W., Markstein, P. (eds) Numerical Validation in Current Hardware Architectures. Lecture Notes in Computer Science, vol 5492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01591-5_8
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DOI: https://doi.org/10.1007/978-3-642-01591-5_8
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