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Multidimensional Lines

  • Alfred InselbergEmail author
Chapter

Abstract

There are several pointline dualities (such as the very useful Hough transform) in the plane that do not generalize well for higher dimensions. This is because the natural duality is pointhyperplane in projective N-space ℙN with pointline when N = 2. However, in ∥-coords there is a useful and direct generalization, which is the subject of this chapter. At first the basic idea for lines in ℝN, rather than ℙN, is derived intuitively, paving the way for the general case, which is treated subsequently (as in [106] and [107]).

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Tel Aviv University School of Mathematical SciencesTel AvivIsrael

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