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arXiv · 1412.7368

Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex

Baki Karliga·Murat Savas·Atakan T. Yakut
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Abstract

In this paper, orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foots from a point to k-plane of hyperbolic and spherical n-space.

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Baki Karliga, Murat Savas, Atakan T. Yakut. 2014-12-17. Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex. https://arxiv.org/abs/1412.7368

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