scholarly journals An input-size/output-size trade-off in the time-complexity of rectilinear hidden surface removal

Author(s):  
Michael T. Goodrich ◽  
Mikhail J. Atallah ◽  
Mark H. Overmars
2020 ◽  
Vol 31 (05) ◽  
pp. 539-549
Author(s):  
Andreas Kosmatopoulos ◽  
Athanasios Tsakalidis ◽  
Kostas Tsichlas

We investigate the problem of finding the visible pieces of a scene of objects from a specified viewpoint. In particular, we are interested in the design of an efficient hidden surface removal algorithm for a scene comprised of iso-oriented rectangles. We propose an algorithm where given a set of [Formula: see text] iso-oriented rectangles we report all visible surfaces in [Formula: see text] time and linear space, where [Formula: see text] is the number of surfaces reported. The previous best result by Bern [Journal of Computer and System Sciences 40 (1990) 49–69], has the same time complexity but uses [Formula: see text] space.


1981 ◽  
Vol 15 (4) ◽  
pp. 405-436 ◽  
Author(s):  
P. Chang ◽  
Ramesh Jain

2013 ◽  
pp. 131-156
Author(s):  
Alexey Boreskov ◽  
Evgeniy Shikin

2021 ◽  
Vol 26 (2) ◽  
pp. 300-308
Author(s):  
Lubna Saeed ◽  
Fakhrulddin Ali

1995 ◽  
Vol 05 (03) ◽  
pp. 221-242 ◽  
Author(s):  
MARK DE BERG ◽  
HAZEL EVERETT ◽  
HUBERT WAGENER

Let S be a set of m polygons in the plane with a total of n vertices. A translation order for S in direction [Formula: see text] is an order on the polygons such that no collisions occur if the polygons are moved one by one to infinity in direction [Formula: see text] according to this order. We show that S can be preprocessed in O(n log n) time into a data structure of size O(m) such that a translation order for a query direction can be computed in O(m) time, if it exists. It is also possible to test in O(log n) time whether a translation order exists, with a structure that uses O(n) storage. These results are achieved using new results on relative convex hulls and on embeddings with few vertices. Translation orders correspond to valid displaying orders for hidden surface removal with the painter’s algorithm. Our technique can be used to generate displaying orders for polyhedral terrains, for parallel as well as perspective views.


2013 ◽  
Vol 52 (20) ◽  
pp. 4871 ◽  
Author(s):  
Yusuke Sando ◽  
Daisuke Barada ◽  
Toyohiko Yatagai

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