Lines in space: From ray shooting to geometric transversals

2008 ◽  
pp. 147-171
Author(s):  
János Pach ◽  
Micha Sharir
Keyword(s):  
Ray Shooting ◽  
Lines In Space ◽  
Geometric Transversals

On Five Lines, in Space of Four Dimensions, which lie upon a, Quadric Threefold and the Normal Quartic Curves of which they are Chords

1924 ◽  
Vol 22 (2) ◽  
pp. 189-199
Author(s):  
F. Bath
Keyword(s):  
Three Dimensions ◽  
Apparent Contradiction ◽  
Four Dimensions ◽  
Quartic Curve ◽  
Lines In Space ◽  
Quadric Threefold ◽  
Quartic Curves

The connexion between the conditions for five lines of S4(i) to lie upon a quadric threefold,and (ii) to be chords of a normal quartic curve,leads to an apparent contradiction. This difficulty is explained in the first paragraph below and, subsequently, two investigations are given of which the first uses, mainly, properties of space of three dimensions.

Exploration of 3D grid caching strategies for ray-shooting

2010 ◽  
Vol 7 (1) ◽  
pp. 3-19
Author(s):  
Stéphane Mancini ◽  
Zahir Larabi ◽  
Yves Mathieu ◽  
Tomasz Toczek ◽  
Lionel Pierrefeu
Keyword(s):  
Ray Shooting ◽  
Caching Strategies
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