A metric for spatial lines

Atsushi Imiya

doi:10.1016/0167-8655(96)00100-6

A metric for spatial lines

1996-10-01

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Atsushi Imiya *

DOI：10.1016/0167-8655(96)00100-6

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This paper defines a distance measure among spatial lines. The existence of a one-to-one mapping between spatial lines and points on the positive semi-sphere is proven. Furthermore, the geodesic distance between two points on the positive unit semi-sphere defines a distance measure among special lines, Finally, by using the proposed metric, we also construct a method for the classification of spatial lines by nearest-neighbor discrimination on the positive unit semi-sphere.

Keyword:

projective geometry

distance measure

spatial lines

nearest-neighbor discrimination

A metric for spatial lines

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