Lines Classification in the Conformal Space

نویسندگان

  • Lilian Aveneau
  • Ángel F. Tenorio
چکیده

Lines classification is the central tool for visibility calculation in dimension n ≥ 2. It has been previously expressed in Grassmann Algebra, allowing to work with any couple of 2-vectors, which may represent two real lines or not. This article discusses about the nature of lines in the conformal model, searching if such a classification is still valid in Rn+1,1. First, it shows that the projective classification can be expressed in terms of a meet operator. Then, given two real lines, the classification still works in the conformal model, but also allowing us to propound some techniques to identify lines and circles among general 3-vectors.

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تاریخ انتشار 2013